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You searched for +publisher:"Virginia Tech" +contributor:("Lin, Tao"). Showing records 1 – 30 of 75 total matches.

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Virginia Tech

1. Xie, Xuping. Approximate Deconvolution Reduced Order Modeling.

Degree: MS, Mathematics, 2015, Virginia Tech

 This thesis proposes a large eddy simulation reduced order model (LES-ROM) framework for the numerical simulation of realistic flows. In this LES-ROM framework, the proper… (more)

Subjects/Keywords: approximate deconvolution; large eddy simulation; reduced order modeling; inverse problems; regularization

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APA (6th Edition):

Xie, X. (2015). Approximate Deconvolution Reduced Order Modeling. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/78043

Chicago Manual of Style (16th Edition):

Xie, Xuping. “Approximate Deconvolution Reduced Order Modeling.” 2015. Masters Thesis, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/78043.

MLA Handbook (7th Edition):

Xie, Xuping. “Approximate Deconvolution Reduced Order Modeling.” 2015. Web. 13 Apr 2021.

Vancouver:

Xie X. Approximate Deconvolution Reduced Order Modeling. [Internet] [Masters thesis]. Virginia Tech; 2015. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/78043.

Council of Science Editors:

Xie X. Approximate Deconvolution Reduced Order Modeling. [Masters Thesis]. Virginia Tech; 2015. Available from: http://hdl.handle.net/10919/78043


Virginia Tech

2. Wells, David Reese. A Two-Level Method For The Steady-State Quasigeostrophic Equation.

Degree: MS, Mathematics, 2013, Virginia Tech

 The quasi-geostrophic equations (QGE) are a model of large-scale ocean flows. We consider a pure stream function formulation and cite results for optimal error estimates… (more)

Subjects/Keywords: Quasi-geostrophic equations; Finite Element Method; Argyris Element; Two-Level Method

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APA (6th Edition):

Wells, D. R. (2013). A Two-Level Method For The Steady-State Quasigeostrophic Equation. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/23090

Chicago Manual of Style (16th Edition):

Wells, David Reese. “A Two-Level Method For The Steady-State Quasigeostrophic Equation.” 2013. Masters Thesis, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/23090.

MLA Handbook (7th Edition):

Wells, David Reese. “A Two-Level Method For The Steady-State Quasigeostrophic Equation.” 2013. Web. 13 Apr 2021.

Vancouver:

Wells DR. A Two-Level Method For The Steady-State Quasigeostrophic Equation. [Internet] [Masters thesis]. Virginia Tech; 2013. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/23090.

Council of Science Editors:

Wells DR. A Two-Level Method For The Steady-State Quasigeostrophic Equation. [Masters Thesis]. Virginia Tech; 2013. Available from: http://hdl.handle.net/10919/23090


Virginia Tech

3. Guo, Ruchi. A Linear Immersed Finite Element Space Defined by Actual Interface Curve on Triangular Meshes.

Degree: MS, Mathematics, 2017, Virginia Tech

 In this thesis, we develop the a new immersed finite element(IFE) space formed by piecewise linear polynomials defined on sub-elements cut by the actual interface… (more)

Subjects/Keywords: Elliptic Interface Problems; Immersed Finite Element; Interpolation Error Analysis; Interface Independent Mesh; Linear Finite Element

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APA (6th Edition):

Guo, R. (2017). A Linear Immersed Finite Element Space Defined by Actual Interface Curve on Triangular Meshes. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/79946

Chicago Manual of Style (16th Edition):

Guo, Ruchi. “A Linear Immersed Finite Element Space Defined by Actual Interface Curve on Triangular Meshes.” 2017. Masters Thesis, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/79946.

MLA Handbook (7th Edition):

Guo, Ruchi. “A Linear Immersed Finite Element Space Defined by Actual Interface Curve on Triangular Meshes.” 2017. Web. 13 Apr 2021.

Vancouver:

Guo R. A Linear Immersed Finite Element Space Defined by Actual Interface Curve on Triangular Meshes. [Internet] [Masters thesis]. Virginia Tech; 2017. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/79946.

Council of Science Editors:

Guo R. A Linear Immersed Finite Element Space Defined by Actual Interface Curve on Triangular Meshes. [Masters Thesis]. Virginia Tech; 2017. Available from: http://hdl.handle.net/10919/79946


Virginia Tech

4. Chaabane, Nabil. Immersed and Discontinuous Finite Element Methods.

Degree: PhD, Mathematics, 2015, Virginia Tech

 In this dissertation we prove the superconvergence of the minimal-dissipation local discontinuous Galerkin method for elliptic problems and construct optimal immersed finite element approximations and… (more)

Subjects/Keywords: LDG; Stokes interface problem; emulsions; discontinuous Galerkin; Immersed finite element

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APA (6th Edition):

Chaabane, N. (2015). Immersed and Discontinuous Finite Element Methods. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/73194

Chicago Manual of Style (16th Edition):

Chaabane, Nabil. “Immersed and Discontinuous Finite Element Methods.” 2015. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/73194.

MLA Handbook (7th Edition):

Chaabane, Nabil. “Immersed and Discontinuous Finite Element Methods.” 2015. Web. 13 Apr 2021.

Vancouver:

Chaabane N. Immersed and Discontinuous Finite Element Methods. [Internet] [Doctoral dissertation]. Virginia Tech; 2015. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/73194.

Council of Science Editors:

Chaabane N. Immersed and Discontinuous Finite Element Methods. [Doctoral Dissertation]. Virginia Tech; 2015. Available from: http://hdl.handle.net/10919/73194


Virginia Tech

5. Moon, Kihyo. Immersed Discontinuous Galerkin Methods for Acoustic Wave Propagation in Inhomogeneous Media.

Degree: PhD, Mathematics, 2016, Virginia Tech

 We present immersed discontinuous Galerkin finite element methods for one and two dimensional acoustic wave propagation problems in inhomogeneous media where elements are allowed to… (more)

Subjects/Keywords: Immersed Finite Element; Discontinuous Galerkin Method; Hyperbolic PDEs; Acoustic Wave Propagation; Inhomogeneous Media; Interface Problems

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APA (6th Edition):

Moon, K. (2016). Immersed Discontinuous Galerkin Methods for Acoustic Wave Propagation in Inhomogeneous Media. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/70906

Chicago Manual of Style (16th Edition):

Moon, Kihyo. “Immersed Discontinuous Galerkin Methods for Acoustic Wave Propagation in Inhomogeneous Media.” 2016. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/70906.

MLA Handbook (7th Edition):

Moon, Kihyo. “Immersed Discontinuous Galerkin Methods for Acoustic Wave Propagation in Inhomogeneous Media.” 2016. Web. 13 Apr 2021.

Vancouver:

Moon K. Immersed Discontinuous Galerkin Methods for Acoustic Wave Propagation in Inhomogeneous Media. [Internet] [Doctoral dissertation]. Virginia Tech; 2016. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/70906.

Council of Science Editors:

Moon K. Immersed Discontinuous Galerkin Methods for Acoustic Wave Propagation in Inhomogeneous Media. [Doctoral Dissertation]. Virginia Tech; 2016. Available from: http://hdl.handle.net/10919/70906


Virginia Tech

6. Zhuang, Qiao. Immersed Finite Elements for a Second Order Elliptic Operator and Their Applications.

Degree: PhD, Mathematics, 2020, Virginia Tech

 This dissertation studies immersed finite elements (IFE) for a second order elliptic operator and their applications to a few types of interface problems. We start… (more)

Subjects/Keywords: Immersed Finite Element; Second Order Elliptic Operator; Interface Problems; Elliptic Equations; Wave Equations; Diffusion Equations; Error Analysis

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APA (6th Edition):

Zhuang, Q. (2020). Immersed Finite Elements for a Second Order Elliptic Operator and Their Applications. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/99040

Chicago Manual of Style (16th Edition):

Zhuang, Qiao. “Immersed Finite Elements for a Second Order Elliptic Operator and Their Applications.” 2020. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/99040.

MLA Handbook (7th Edition):

Zhuang, Qiao. “Immersed Finite Elements for a Second Order Elliptic Operator and Their Applications.” 2020. Web. 13 Apr 2021.

Vancouver:

Zhuang Q. Immersed Finite Elements for a Second Order Elliptic Operator and Their Applications. [Internet] [Doctoral dissertation]. Virginia Tech; 2020. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/99040.

Council of Science Editors:

Zhuang Q. Immersed Finite Elements for a Second Order Elliptic Operator and Their Applications. [Doctoral Dissertation]. Virginia Tech; 2020. Available from: http://hdl.handle.net/10919/99040


Virginia Tech

7. Zhang, Jiaqi. Finite-element simulations of interfacial flows with moving contact lines.

Degree: PhD, Mathematics, 2020, Virginia Tech

 When a liquid droplet is sliding along a solid surface, a moving contact line is formed at the intersection of the three phases: liquid, air… (more)

Subjects/Keywords: level set; contact angle hysteresis; contact line pinning; slip length; drop spreading; sliding drop; GNBC; contact line friction

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APA (6th Edition):

Zhang, J. (2020). Finite-element simulations of interfacial flows with moving contact lines. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/99058

Chicago Manual of Style (16th Edition):

Zhang, Jiaqi. “Finite-element simulations of interfacial flows with moving contact lines.” 2020. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/99058.

MLA Handbook (7th Edition):

Zhang, Jiaqi. “Finite-element simulations of interfacial flows with moving contact lines.” 2020. Web. 13 Apr 2021.

Vancouver:

Zhang J. Finite-element simulations of interfacial flows with moving contact lines. [Internet] [Doctoral dissertation]. Virginia Tech; 2020. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/99058.

Council of Science Editors:

Zhang J. Finite-element simulations of interfacial flows with moving contact lines. [Doctoral Dissertation]. Virginia Tech; 2020. Available from: http://hdl.handle.net/10919/99058


Virginia Tech

8. Zhang, Xu. Nonconforming Immersed Finite Element Methods for Interface Problems.

Degree: PhD, Mathematics, 2013, Virginia Tech

 In science and engineering, many simulations are carried out over domains consisting of multiple materials separated by curves/surfaces. If partial differential equations (PDEs) are used… (more)

Subjects/Keywords: Immersed Finite Element; Elliptic Interface Problems; Cartesian Mesh; Nonconforming Rotated Q1 Finite Element; Error Analysis; E

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APA (6th Edition):

Zhang, X. (2013). Nonconforming Immersed Finite Element Methods for Interface Problems. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/20380

Chicago Manual of Style (16th Edition):

Zhang, Xu. “Nonconforming Immersed Finite Element Methods for Interface Problems.” 2013. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/20380.

MLA Handbook (7th Edition):

Zhang, Xu. “Nonconforming Immersed Finite Element Methods for Interface Problems.” 2013. Web. 13 Apr 2021.

Vancouver:

Zhang X. Nonconforming Immersed Finite Element Methods for Interface Problems. [Internet] [Doctoral dissertation]. Virginia Tech; 2013. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/20380.

Council of Science Editors:

Zhang X. Nonconforming Immersed Finite Element Methods for Interface Problems. [Doctoral Dissertation]. Virginia Tech; 2013. Available from: http://hdl.handle.net/10919/20380


Virginia Tech

9. Ben Romdhane, Mohamed. Higher-Degree Immersed Finite Elements for Second-Order Elliptic Interface Problems.

Degree: PhD, Mathematics, 2011, Virginia Tech

 A wide range of applications involve interface problems. In most of the cases, mathematical modeling of these interface problems leads to partial differential equations with… (more)

Subjects/Keywords: Interior Penalty Method; Galerkin Method; Immersed Finite Elements; Interface Problems

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APA (6th Edition):

Ben Romdhane, M. (2011). Higher-Degree Immersed Finite Elements for Second-Order Elliptic Interface Problems. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/39258

Chicago Manual of Style (16th Edition):

Ben Romdhane, Mohamed. “Higher-Degree Immersed Finite Elements for Second-Order Elliptic Interface Problems.” 2011. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/39258.

MLA Handbook (7th Edition):

Ben Romdhane, Mohamed. “Higher-Degree Immersed Finite Elements for Second-Order Elliptic Interface Problems.” 2011. Web. 13 Apr 2021.

Vancouver:

Ben Romdhane M. Higher-Degree Immersed Finite Elements for Second-Order Elliptic Interface Problems. [Internet] [Doctoral dissertation]. Virginia Tech; 2011. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/39258.

Council of Science Editors:

Ben Romdhane M. Higher-Degree Immersed Finite Elements for Second-Order Elliptic Interface Problems. [Doctoral Dissertation]. Virginia Tech; 2011. Available from: http://hdl.handle.net/10919/39258


Virginia Tech

10. Glaws, Andrew Taylor. Finite Element Simulations of Two Dimensional Peridynamic Models.

Degree: MS, Mathematics, 2014, Virginia Tech

 This thesis explores the science of solid mechanics via the theory of peridynamics. Peridynamics has several key advantages over the classical theory of elasticity. The… (more)

Subjects/Keywords: Peridynamics; Elasticity; Solid Mechanics

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APA (6th Edition):

Glaws, A. T. (2014). Finite Element Simulations of Two Dimensional Peridynamic Models. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/48121

Chicago Manual of Style (16th Edition):

Glaws, Andrew Taylor. “Finite Element Simulations of Two Dimensional Peridynamic Models.” 2014. Masters Thesis, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/48121.

MLA Handbook (7th Edition):

Glaws, Andrew Taylor. “Finite Element Simulations of Two Dimensional Peridynamic Models.” 2014. Web. 13 Apr 2021.

Vancouver:

Glaws AT. Finite Element Simulations of Two Dimensional Peridynamic Models. [Internet] [Masters thesis]. Virginia Tech; 2014. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/48121.

Council of Science Editors:

Glaws AT. Finite Element Simulations of Two Dimensional Peridynamic Models. [Masters Thesis]. Virginia Tech; 2014. Available from: http://hdl.handle.net/10919/48121


Virginia Tech

11. Laadj, Toufik. Initial Value Problems for Creeping Flow of Maxwell Fluids.

Degree: PhD, Mathematics, 2011, Virginia Tech

 We consider the flow of nonlinear Maxwell fluids in the unsteady quasistatic case, where the effect of inertia is neglected. We study the well-posedness of… (more)

Subjects/Keywords: nonlinear Maxwell fluid; unsteady flow; existence and uniqueness; Quasistatic viscoelastic flow

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APA (6th Edition):

Laadj, T. (2011). Initial Value Problems for Creeping Flow of Maxwell Fluids. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/26302

Chicago Manual of Style (16th Edition):

Laadj, Toufik. “Initial Value Problems for Creeping Flow of Maxwell Fluids.” 2011. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/26302.

MLA Handbook (7th Edition):

Laadj, Toufik. “Initial Value Problems for Creeping Flow of Maxwell Fluids.” 2011. Web. 13 Apr 2021.

Vancouver:

Laadj T. Initial Value Problems for Creeping Flow of Maxwell Fluids. [Internet] [Doctoral dissertation]. Virginia Tech; 2011. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/26302.

Council of Science Editors:

Laadj T. Initial Value Problems for Creeping Flow of Maxwell Fluids. [Doctoral Dissertation]. Virginia Tech; 2011. Available from: http://hdl.handle.net/10919/26302


Virginia Tech

12. Zhang, Yingchen. New Methods for Synchrophasor Measurement.

Degree: PhD, Electrical and Computer Engineering, 2011, Virginia Tech

 Recent developments in smart grid technology have spawned interest in the use of phasor measurement units to help create a reliable power system transmission and… (more)

Subjects/Keywords: Electric and magnetic fields; Nonlinear least squares; Angle instability; Discrete Fourier transform; Synchrophasor measurement

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APA (6th Edition):

Zhang, Y. (2011). New Methods for Synchrophasor Measurement. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/77297

Chicago Manual of Style (16th Edition):

Zhang, Yingchen. “New Methods for Synchrophasor Measurement.” 2011. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/77297.

MLA Handbook (7th Edition):

Zhang, Yingchen. “New Methods for Synchrophasor Measurement.” 2011. Web. 13 Apr 2021.

Vancouver:

Zhang Y. New Methods for Synchrophasor Measurement. [Internet] [Doctoral dissertation]. Virginia Tech; 2011. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/77297.

Council of Science Editors:

Zhang Y. New Methods for Synchrophasor Measurement. [Doctoral Dissertation]. Virginia Tech; 2011. Available from: http://hdl.handle.net/10919/77297


Virginia Tech

13. Wang, Zhu. Reduced-Order Modeling of Complex Engineering and Geophysical Flows: Analysis and Computations.

Degree: PhD, Mathematics, 2012, Virginia Tech

 Reduced-order models are frequently used in the simulation of complex flows to overcome the high computational cost of direct numerical simulations, especially for three-dimensional nonlinear… (more)

Subjects/Keywords: variational multiscale; dynamic subgrid-scale model; two-level algorithm; approximate deconvolution; finite elements; numerical analysis; Proper orthogonal decomposition; reduced-order modeling; large eddy simulation; eddy viscosity; turbulence

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APA (6th Edition):

Wang, Z. (2012). Reduced-Order Modeling of Complex Engineering and Geophysical Flows: Analysis and Computations. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/27504

Chicago Manual of Style (16th Edition):

Wang, Zhu. “Reduced-Order Modeling of Complex Engineering and Geophysical Flows: Analysis and Computations.” 2012. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/27504.

MLA Handbook (7th Edition):

Wang, Zhu. “Reduced-Order Modeling of Complex Engineering and Geophysical Flows: Analysis and Computations.” 2012. Web. 13 Apr 2021.

Vancouver:

Wang Z. Reduced-Order Modeling of Complex Engineering and Geophysical Flows: Analysis and Computations. [Internet] [Doctoral dissertation]. Virginia Tech; 2012. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/27504.

Council of Science Editors:

Wang Z. Reduced-Order Modeling of Complex Engineering and Geophysical Flows: Analysis and Computations. [Doctoral Dissertation]. Virginia Tech; 2012. Available from: http://hdl.handle.net/10919/27504


Virginia Tech

14. Mechaii, Idir. A Posteriori Error Analysis for a Discontinuous Galerkin Method Applied to Hyperbolic Problems on Tetrahedral Meshes.

Degree: PhD, Mathematics, 2012, Virginia Tech

 In this thesis, we present a simple and efficient \emph{a posteriori} error estimation procedure for a discontinuous finite element method applied to scalar first-order hyperbolic… (more)

Subjects/Keywords: a posteriori error estimation; Discontinuous Galerkin method; hyperbolic problems; superconvergence; tetrahedral meshes

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APA (6th Edition):

Mechaii, I. (2012). A Posteriori Error Analysis for a Discontinuous Galerkin Method Applied to Hyperbolic Problems on Tetrahedral Meshes. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/77344

Chicago Manual of Style (16th Edition):

Mechaii, Idir. “A Posteriori Error Analysis for a Discontinuous Galerkin Method Applied to Hyperbolic Problems on Tetrahedral Meshes.” 2012. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/77344.

MLA Handbook (7th Edition):

Mechaii, Idir. “A Posteriori Error Analysis for a Discontinuous Galerkin Method Applied to Hyperbolic Problems on Tetrahedral Meshes.” 2012. Web. 13 Apr 2021.

Vancouver:

Mechaii I. A Posteriori Error Analysis for a Discontinuous Galerkin Method Applied to Hyperbolic Problems on Tetrahedral Meshes. [Internet] [Doctoral dissertation]. Virginia Tech; 2012. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/77344.

Council of Science Editors:

Mechaii I. A Posteriori Error Analysis for a Discontinuous Galerkin Method Applied to Hyperbolic Problems on Tetrahedral Meshes. [Doctoral Dissertation]. Virginia Tech; 2012. Available from: http://hdl.handle.net/10919/77344


Virginia Tech

15. Li, Ming. Recycling Preconditioners for Sequences of Linear Systems and Matrix Reordering.

Degree: PhD, Mathematics, 2015, Virginia Tech

 In science and engineering, many applications require the solution of a sequence of linear systems. There are many ways to solve linear systems and we… (more)

Subjects/Keywords: sequence of linear systems; updating preconditioners; inexact Krylov subspace methods; matrix reordering

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APA (6th Edition):

Li, M. (2015). Recycling Preconditioners for Sequences of Linear Systems and Matrix Reordering. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/64382

Chicago Manual of Style (16th Edition):

Li, Ming. “Recycling Preconditioners for Sequences of Linear Systems and Matrix Reordering.” 2015. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/64382.

MLA Handbook (7th Edition):

Li, Ming. “Recycling Preconditioners for Sequences of Linear Systems and Matrix Reordering.” 2015. Web. 13 Apr 2021.

Vancouver:

Li M. Recycling Preconditioners for Sequences of Linear Systems and Matrix Reordering. [Internet] [Doctoral dissertation]. Virginia Tech; 2015. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/64382.

Council of Science Editors:

Li M. Recycling Preconditioners for Sequences of Linear Systems and Matrix Reordering. [Doctoral Dissertation]. Virginia Tech; 2015. Available from: http://hdl.handle.net/10919/64382


Virginia Tech

16. Zhang, Hong. Efficient Time Stepping Methods and Sensitivity Analysis for Large Scale Systems of Differential Equations.

Degree: PhD, Computer Science and Applications, 2014, Virginia Tech

 Many fields in science and engineering require large-scale numerical simulations of complex systems described by differential equations. These systems are typically multi-physics (they are driven… (more)

Subjects/Keywords: Time Stepping; General Linear Methods; Implicit-explicit; Sensitivity Analysis

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APA (6th Edition):

Zhang, H. (2014). Efficient Time Stepping Methods and Sensitivity Analysis for Large Scale Systems of Differential Equations. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/50492

Chicago Manual of Style (16th Edition):

Zhang, Hong. “Efficient Time Stepping Methods and Sensitivity Analysis for Large Scale Systems of Differential Equations.” 2014. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/50492.

MLA Handbook (7th Edition):

Zhang, Hong. “Efficient Time Stepping Methods and Sensitivity Analysis for Large Scale Systems of Differential Equations.” 2014. Web. 13 Apr 2021.

Vancouver:

Zhang H. Efficient Time Stepping Methods and Sensitivity Analysis for Large Scale Systems of Differential Equations. [Internet] [Doctoral dissertation]. Virginia Tech; 2014. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/50492.

Council of Science Editors:

Zhang H. Efficient Time Stepping Methods and Sensitivity Analysis for Large Scale Systems of Differential Equations. [Doctoral Dissertation]. Virginia Tech; 2014. Available from: http://hdl.handle.net/10919/50492

17. Guo, Ruchi. Design, Analysis, and Application of Immersed Finite Element Methods.

Degree: PhD, Mathematics, 2019, Virginia Tech

 Interface problems arise from many science and engineering applications modeling the transmission of some physical quantities between multiple materials. Mathematically, these multiple materials in general… (more)

Subjects/Keywords: Elliptic Interface Problems; Elasticity Interface Problems; Unfitted Meshes; Immersed Finite Element; High-order Discontinuous Galerkin methods; Error Analysis; Interface Inverse Problems; Shape Optimization

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APA (6th Edition):

Guo, R. (2019). Design, Analysis, and Application of Immersed Finite Element Methods. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/90374

Chicago Manual of Style (16th Edition):

Guo, Ruchi. “Design, Analysis, and Application of Immersed Finite Element Methods.” 2019. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/90374.

MLA Handbook (7th Edition):

Guo, Ruchi. “Design, Analysis, and Application of Immersed Finite Element Methods.” 2019. Web. 13 Apr 2021.

Vancouver:

Guo R. Design, Analysis, and Application of Immersed Finite Element Methods. [Internet] [Doctoral dissertation]. Virginia Tech; 2019. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/90374.

Council of Science Editors:

Guo R. Design, Analysis, and Application of Immersed Finite Element Methods. [Doctoral Dissertation]. Virginia Tech; 2019. Available from: http://hdl.handle.net/10919/90374

18. Letona Bolivar, Cristina Felicitas. On a Class of Parametrized Domain Optimization Problems with Mixed Boundary Condition Types.

Degree: PhD, Mathematics, 2016, Virginia Tech

 The methods for solving domain optimization problems depends on the case of study. There are methods that have been developed for the discretized problem, but… (more)

Subjects/Keywords: Domain Optimization; Shape Derivatives; PDE Constraints; Mixed Boundary Conditions.

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APA (6th Edition):

Letona Bolivar, C. F. (2016). On a Class of Parametrized Domain Optimization Problems with Mixed Boundary Condition Types. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/73308

Chicago Manual of Style (16th Edition):

Letona Bolivar, Cristina Felicitas. “On a Class of Parametrized Domain Optimization Problems with Mixed Boundary Condition Types.” 2016. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/73308.

MLA Handbook (7th Edition):

Letona Bolivar, Cristina Felicitas. “On a Class of Parametrized Domain Optimization Problems with Mixed Boundary Condition Types.” 2016. Web. 13 Apr 2021.

Vancouver:

Letona Bolivar CF. On a Class of Parametrized Domain Optimization Problems with Mixed Boundary Condition Types. [Internet] [Doctoral dissertation]. Virginia Tech; 2016. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/73308.

Council of Science Editors:

Letona Bolivar CF. On a Class of Parametrized Domain Optimization Problems with Mixed Boundary Condition Types. [Doctoral Dissertation]. Virginia Tech; 2016. Available from: http://hdl.handle.net/10919/73308

19. Cui, Jing. Boundary Controllability and Stabilizability of Nonlinear Schrodinger Equation in a Finite Interval.

Degree: PhD, Mathematics, 2017, Virginia Tech

 The dissertation focuses on the nonlinear Schrodinger equation iut+uxx+kappa|u|2u =0, for the complex-valued function u=u(x,t) with domain t>=0, 0<=x<= L, where the parameter kappa is… (more)

Subjects/Keywords: Nonlinear Schrodinger Equation; Contraction Mapping Principle; Boundary Control

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APA (6th Edition):

Cui, J. (2017). Boundary Controllability and Stabilizability of Nonlinear Schrodinger Equation in a Finite Interval. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/77506

Chicago Manual of Style (16th Edition):

Cui, Jing. “Boundary Controllability and Stabilizability of Nonlinear Schrodinger Equation in a Finite Interval.” 2017. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/77506.

MLA Handbook (7th Edition):

Cui, Jing. “Boundary Controllability and Stabilizability of Nonlinear Schrodinger Equation in a Finite Interval.” 2017. Web. 13 Apr 2021.

Vancouver:

Cui J. Boundary Controllability and Stabilizability of Nonlinear Schrodinger Equation in a Finite Interval. [Internet] [Doctoral dissertation]. Virginia Tech; 2017. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/77506.

Council of Science Editors:

Cui J. Boundary Controllability and Stabilizability of Nonlinear Schrodinger Equation in a Finite Interval. [Doctoral Dissertation]. Virginia Tech; 2017. Available from: http://hdl.handle.net/10919/77506


Virginia Tech

20. Baccouch, Mahboub. Superconvergence and A posteriori Error Estimation for the Discontinuous Galerkin Method Applied to Hyperbolic Problems on Triangular Meshes.

Degree: PhD, Mathematics, 2008, Virginia Tech

 In this thesis, we present new superconvergence properties of discontinuous Galerkin (DG) methods for two-dimensional hyperbolic problems. We investigate the superconvergence properties of the DG… (more)

Subjects/Keywords: hyperbolic problems; a posteriori errorestimates; Discontinuous Galerkin method; triangular meshes; superconvergence

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APA (6th Edition):

Baccouch, M. (2008). Superconvergence and A posteriori Error Estimation for the Discontinuous Galerkin Method Applied to Hyperbolic Problems on Triangular Meshes. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/26331

Chicago Manual of Style (16th Edition):

Baccouch, Mahboub. “Superconvergence and A posteriori Error Estimation for the Discontinuous Galerkin Method Applied to Hyperbolic Problems on Triangular Meshes.” 2008. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/26331.

MLA Handbook (7th Edition):

Baccouch, Mahboub. “Superconvergence and A posteriori Error Estimation for the Discontinuous Galerkin Method Applied to Hyperbolic Problems on Triangular Meshes.” 2008. Web. 13 Apr 2021.

Vancouver:

Baccouch M. Superconvergence and A posteriori Error Estimation for the Discontinuous Galerkin Method Applied to Hyperbolic Problems on Triangular Meshes. [Internet] [Doctoral dissertation]. Virginia Tech; 2008. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/26331.

Council of Science Editors:

Baccouch M. Superconvergence and A posteriori Error Estimation for the Discontinuous Galerkin Method Applied to Hyperbolic Problems on Triangular Meshes. [Doctoral Dissertation]. Virginia Tech; 2008. Available from: http://hdl.handle.net/10919/26331


Virginia Tech

21. Lanz, Colleen B. The Use of Schwarz-Christoffel Transformations in Determining Acoustic Resonances.

Degree: MS, Mathematics, 2010, Virginia Tech

 In this thesis, we set out to provide an enhanced set of techniques for determining the eigenvalues of the Laplacian in polygonal domains. Currently, finite-element… (more)

Subjects/Keywords: Laplacian; Eigenvalues; Schwarz-Christoffel Transformations; Polygons

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APA (6th Edition):

Lanz, C. B. (2010). The Use of Schwarz-Christoffel Transformations in Determining Acoustic Resonances. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/33933

Chicago Manual of Style (16th Edition):

Lanz, Colleen B. “The Use of Schwarz-Christoffel Transformations in Determining Acoustic Resonances.” 2010. Masters Thesis, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/33933.

MLA Handbook (7th Edition):

Lanz, Colleen B. “The Use of Schwarz-Christoffel Transformations in Determining Acoustic Resonances.” 2010. Web. 13 Apr 2021.

Vancouver:

Lanz CB. The Use of Schwarz-Christoffel Transformations in Determining Acoustic Resonances. [Internet] [Masters thesis]. Virginia Tech; 2010. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/33933.

Council of Science Editors:

Lanz CB. The Use of Schwarz-Christoffel Transformations in Determining Acoustic Resonances. [Masters Thesis]. Virginia Tech; 2010. Available from: http://hdl.handle.net/10919/33933


Virginia Tech

22. Nguyen, Vinh Q. A Numerical Study of Burgers' Equation With Robin Boundary Conditions.

Degree: MS, Mathematics, 2001, Virginia Tech

 This thesis examines the numerical solution to Burgers' equation on a finite spatial domain with various boundary conditions. We first conduct experiments to confirm the… (more)

Subjects/Keywords: non-constant steady state solution; steady state solution

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APA (6th Edition):

Nguyen, V. Q. (2001). A Numerical Study of Burgers' Equation With Robin Boundary Conditions. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/31285

Chicago Manual of Style (16th Edition):

Nguyen, Vinh Q. “A Numerical Study of Burgers' Equation With Robin Boundary Conditions.” 2001. Masters Thesis, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/31285.

MLA Handbook (7th Edition):

Nguyen, Vinh Q. “A Numerical Study of Burgers' Equation With Robin Boundary Conditions.” 2001. Web. 13 Apr 2021.

Vancouver:

Nguyen VQ. A Numerical Study of Burgers' Equation With Robin Boundary Conditions. [Internet] [Masters thesis]. Virginia Tech; 2001. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/31285.

Council of Science Editors:

Nguyen VQ. A Numerical Study of Burgers' Equation With Robin Boundary Conditions. [Masters Thesis]. Virginia Tech; 2001. Available from: http://hdl.handle.net/10919/31285


Virginia Tech

23. Lu, Jing. A Mathematical Model of Horizontal Wells Productivity and Well Testing Analysis.

Degree: MS, Mathematics, 1998, Virginia Tech

 This thesis presents new productivity and well testing formulae of horizontal wells. Taking a horizontal well as a uniform line source, this thesis finds velocity… (more)

Subjects/Keywords: Well Testing; Productivity; Horizontal Well

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APA (6th Edition):

Lu, J. (1998). A Mathematical Model of Horizontal Wells Productivity and Well Testing Analysis. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/37018

Chicago Manual of Style (16th Edition):

Lu, Jing. “A Mathematical Model of Horizontal Wells Productivity and Well Testing Analysis.” 1998. Masters Thesis, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/37018.

MLA Handbook (7th Edition):

Lu, Jing. “A Mathematical Model of Horizontal Wells Productivity and Well Testing Analysis.” 1998. Web. 13 Apr 2021.

Vancouver:

Lu J. A Mathematical Model of Horizontal Wells Productivity and Well Testing Analysis. [Internet] [Masters thesis]. Virginia Tech; 1998. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/37018.

Council of Science Editors:

Lu J. A Mathematical Model of Horizontal Wells Productivity and Well Testing Analysis. [Masters Thesis]. Virginia Tech; 1998. Available from: http://hdl.handle.net/10919/37018


Virginia Tech

24. Chen, Jun. Discrete dynamical systems in solving H-equations.

Degree: PhD, Mathematics, 1995, Virginia Tech

 Three discrete dynamical models are used to solve the Chandrasekhar <i>H</i>-equation with a positive or negative characteristic function. Two of them produce series of continuous… (more)

Subjects/Keywords: Chandrasekhar H-equation; LD5655.V856 1995.C446

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APA (6th Edition):

Chen, J. (1995). Discrete dynamical systems in solving H-equations. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/37761

Chicago Manual of Style (16th Edition):

Chen, Jun. “Discrete dynamical systems in solving H-equations.” 1995. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/37761.

MLA Handbook (7th Edition):

Chen, Jun. “Discrete dynamical systems in solving H-equations.” 1995. Web. 13 Apr 2021.

Vancouver:

Chen J. Discrete dynamical systems in solving H-equations. [Internet] [Doctoral dissertation]. Virginia Tech; 1995. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/37761.

Council of Science Editors:

Chen J. Discrete dynamical systems in solving H-equations. [Doctoral Dissertation]. Virginia Tech; 1995. Available from: http://hdl.handle.net/10919/37761


Virginia Tech

25. Gokhale, Ashutosh V. A numerical study of cylindrical electric furnace performance using the finite element method.

Degree: MS, Mechanical Engineering, 1996, Virginia Tech

  Described is a development of a new finite element-method-based numerical technique to carry out the steady-state thermal analysis of a cylindrical electric furnace. Such… (more)

Subjects/Keywords: finite element method code; LD5655.V855 1996.G654

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APA (6th Edition):

Gokhale, A. V. (1996). A numerical study of cylindrical electric furnace performance using the finite element method. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/44490

Chicago Manual of Style (16th Edition):

Gokhale, Ashutosh V. “A numerical study of cylindrical electric furnace performance using the finite element method.” 1996. Masters Thesis, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/44490.

MLA Handbook (7th Edition):

Gokhale, Ashutosh V. “A numerical study of cylindrical electric furnace performance using the finite element method.” 1996. Web. 13 Apr 2021.

Vancouver:

Gokhale AV. A numerical study of cylindrical electric furnace performance using the finite element method. [Internet] [Masters thesis]. Virginia Tech; 1996. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/44490.

Council of Science Editors:

Gokhale AV. A numerical study of cylindrical electric furnace performance using the finite element method. [Masters Thesis]. Virginia Tech; 1996. Available from: http://hdl.handle.net/10919/44490


Virginia Tech

26. Wang, Tzin Shaun. A Hermite Cubic Immersed Finite Element Space for Beam Design Problems.

Degree: MS, Mathematics, 2005, Virginia Tech

 This thesis develops an immersed finite element (IFE) space for numerical simulations arising from beam design with multiple materials. This IFE space is based upon… (more)

Subjects/Keywords: Finite Element; Immersed Finite Element; Interface Problem; Discontinuous Coefficient; Inverse Problem; Euler-Bernoulli Beam

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APA (6th Edition):

Wang, T. S. (2005). A Hermite Cubic Immersed Finite Element Space for Beam Design Problems. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/32911

Chicago Manual of Style (16th Edition):

Wang, Tzin Shaun. “A Hermite Cubic Immersed Finite Element Space for Beam Design Problems.” 2005. Masters Thesis, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/32911.

MLA Handbook (7th Edition):

Wang, Tzin Shaun. “A Hermite Cubic Immersed Finite Element Space for Beam Design Problems.” 2005. Web. 13 Apr 2021.

Vancouver:

Wang TS. A Hermite Cubic Immersed Finite Element Space for Beam Design Problems. [Internet] [Masters thesis]. Virginia Tech; 2005. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/32911.

Council of Science Editors:

Wang TS. A Hermite Cubic Immersed Finite Element Space for Beam Design Problems. [Masters Thesis]. Virginia Tech; 2005. Available from: http://hdl.handle.net/10919/32911


Virginia Tech

27. Liu, Fang-Lan. Some asymptotic stability results for the Boussinesq equation.

Degree: PhD, Mathematics, 1993, Virginia Tech

We prove that the solution of the Boussinesq equation with relatively small initial data exists globally and decays exponentially under some boundary conditions. Advisors/Committee Members: Russell, David L. (committeechair), Kim, Jong Uhn (committee member), Lin, Tao (committee member), Sun, Shu-Ming (committee member).

Subjects/Keywords: Initial value problems Numerical solutions.; Boussinesq equation.; LD5655.V856 1993.L577

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APA (6th Edition):

Liu, F. (1993). Some asymptotic stability results for the Boussinesq equation. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/40052

Chicago Manual of Style (16th Edition):

Liu, Fang-Lan. “Some asymptotic stability results for the Boussinesq equation.” 1993. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/40052.

MLA Handbook (7th Edition):

Liu, Fang-Lan. “Some asymptotic stability results for the Boussinesq equation.” 1993. Web. 13 Apr 2021.

Vancouver:

Liu F. Some asymptotic stability results for the Boussinesq equation. [Internet] [Doctoral dissertation]. Virginia Tech; 1993. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/40052.

Council of Science Editors:

Liu F. Some asymptotic stability results for the Boussinesq equation. [Doctoral Dissertation]. Virginia Tech; 1993. Available from: http://hdl.handle.net/10919/40052


Virginia Tech

28. Lai, Rixin. Analysis and Design for a High Power Density Three-Phase AC Converter Using SiC Devices.

Degree: PhD, Electrical and Computer Engineering, 2008, Virginia Tech

 The development of high power density three-phase ac converter has been a hot topic in power electronics area due to the increasing needs in applications… (more)

Subjects/Keywords: passive component minimization; high performance control development; high power density; failure mode analysis; topology evaluation; SiC devices

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APA (6th Edition):

Lai, R. (2008). Analysis and Design for a High Power Density Three-Phase AC Converter Using SiC Devices. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/30155

Chicago Manual of Style (16th Edition):

Lai, Rixin. “Analysis and Design for a High Power Density Three-Phase AC Converter Using SiC Devices.” 2008. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/30155.

MLA Handbook (7th Edition):

Lai, Rixin. “Analysis and Design for a High Power Density Three-Phase AC Converter Using SiC Devices.” 2008. Web. 13 Apr 2021.

Vancouver:

Lai R. Analysis and Design for a High Power Density Three-Phase AC Converter Using SiC Devices. [Internet] [Doctoral dissertation]. Virginia Tech; 2008. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/30155.

Council of Science Editors:

Lai R. Analysis and Design for a High Power Density Three-Phase AC Converter Using SiC Devices. [Doctoral Dissertation]. Virginia Tech; 2008. Available from: http://hdl.handle.net/10919/30155


Virginia Tech

29. Zhong, Zhian. Power Systems Frequency Dynamic Monitoring System Design and Applications.

Degree: PhD, Electrical and Computer Engineering, 2005, Virginia Tech

 Recent large-scale blackouts revealed that power systems around the world are far from the stability and reliability requirement as they suppose to be. The post-event… (more)

Subjects/Keywords: Phasor Measurement Unit (PMU); Under Frequency Load Shedding; Wide Area Measurement System; Frequency Monitoring Network (FNET); Frequency Disturbance Recorder (FDR); GPS

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APA (6th Edition):

Zhong, Z. (2005). Power Systems Frequency Dynamic Monitoring System Design and Applications. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/28707

Chicago Manual of Style (16th Edition):

Zhong, Zhian. “Power Systems Frequency Dynamic Monitoring System Design and Applications.” 2005. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/28707.

MLA Handbook (7th Edition):

Zhong, Zhian. “Power Systems Frequency Dynamic Monitoring System Design and Applications.” 2005. Web. 13 Apr 2021.

Vancouver:

Zhong Z. Power Systems Frequency Dynamic Monitoring System Design and Applications. [Internet] [Doctoral dissertation]. Virginia Tech; 2005. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/28707.

Council of Science Editors:

Zhong Z. Power Systems Frequency Dynamic Monitoring System Design and Applications. [Doctoral Dissertation]. Virginia Tech; 2005. Available from: http://hdl.handle.net/10919/28707


Virginia Tech

30. Temimi, Helmi. A Discontinuous Galerkin Method for Higher-Order Differential Equations Applied to the Wave Equation.

Degree: PhD, Mathematics, 2008, Virginia Tech

 We propose a new discontinuous finite element method for higher-order initial value problems where the finite element solution exhibits an optimal convergence rate in the… (more)

Subjects/Keywords: Superconvergence; Discontinuous Galerkin Method; a posteriori error estimation; wave equation

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APA (6th Edition):

Temimi, H. (2008). A Discontinuous Galerkin Method for Higher-Order Differential Equations Applied to the Wave Equation. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/26454

Chicago Manual of Style (16th Edition):

Temimi, Helmi. “A Discontinuous Galerkin Method for Higher-Order Differential Equations Applied to the Wave Equation.” 2008. Doctoral Dissertation, Virginia Tech. Accessed April 13, 2021. http://hdl.handle.net/10919/26454.

MLA Handbook (7th Edition):

Temimi, Helmi. “A Discontinuous Galerkin Method for Higher-Order Differential Equations Applied to the Wave Equation.” 2008. Web. 13 Apr 2021.

Vancouver:

Temimi H. A Discontinuous Galerkin Method for Higher-Order Differential Equations Applied to the Wave Equation. [Internet] [Doctoral dissertation]. Virginia Tech; 2008. [cited 2021 Apr 13]. Available from: http://hdl.handle.net/10919/26454.

Council of Science Editors:

Temimi H. A Discontinuous Galerkin Method for Higher-Order Differential Equations Applied to the Wave Equation. [Doctoral Dissertation]. Virginia Tech; 2008. Available from: http://hdl.handle.net/10919/26454

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