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1. Xiao, Hailong. Multiscale mortar mixed finite element methods for flow problems in highly heterogeneous porous media.

Degree: PhD, Computational and Applied Mathematics, 2013, University of Texas – Austin

URL: http://hdl.handle.net/2152/23317

► We use Darcy's law and conservation of mass to model the flow of a fluid through a porous medium. It is a second order elliptic…
(more)

Subjects/Keywords: Porous medium; Elliptic system; Heterogeneous; Mixed finite element; Homogenization theory; Mortar method; Multiscale; Preconditioner; Slightly compressible single phase; Two-phase

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Xiao, H. (2013). Multiscale mortar mixed finite element methods for flow problems in highly heterogeneous porous media. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/23317

Chicago Manual of Style (16^{th} Edition):

Xiao, Hailong. “Multiscale mortar mixed finite element methods for flow problems in highly heterogeneous porous media.” 2013. Doctoral Dissertation, University of Texas – Austin. Accessed April 15, 2021. http://hdl.handle.net/2152/23317.

MLA Handbook (7^{th} Edition):

Xiao, Hailong. “Multiscale mortar mixed finite element methods for flow problems in highly heterogeneous porous media.” 2013. Web. 15 Apr 2021.

Vancouver:

Xiao H. Multiscale mortar mixed finite element methods for flow problems in highly heterogeneous porous media. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2013. [cited 2021 Apr 15]. Available from: http://hdl.handle.net/2152/23317.

Council of Science Editors:

Xiao H. Multiscale mortar mixed finite element methods for flow problems in highly heterogeneous porous media. [Doctoral Dissertation]. University of Texas – Austin; 2013. Available from: http://hdl.handle.net/2152/23317

2. San Martin Gomez, Mario, 1968-. A three dimensional finite element method and multigrid solver for a Darcy-Stokes system and applications to vuggy porous media.

Degree: PhD, Mathematics, 2007, University of Texas – Austin

URL: http://hdl.handle.net/2152/13131

► A vuggy porous medium is one with many small cavities called vugs, which are interconnected in complex ways forming channels that can support high flow…
(more)

Subjects/Keywords: Porous materials – Mathematical models; Multigrid methods (Numerical analysis); Finite element method; Fluid dynamics – Mathematical models; Darcy's law; Stokes equations

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

San Martin Gomez, Mario, 1. (2007). A three dimensional finite element method and multigrid solver for a Darcy-Stokes system and applications to vuggy porous media. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/13131

Chicago Manual of Style (16^{th} Edition):

San Martin Gomez, Mario, 1968-. “A three dimensional finite element method and multigrid solver for a Darcy-Stokes system and applications to vuggy porous media.” 2007. Doctoral Dissertation, University of Texas – Austin. Accessed April 15, 2021. http://hdl.handle.net/2152/13131.

MLA Handbook (7^{th} Edition):

San Martin Gomez, Mario, 1968-. “A three dimensional finite element method and multigrid solver for a Darcy-Stokes system and applications to vuggy porous media.” 2007. Web. 15 Apr 2021.

Vancouver:

San Martin Gomez, Mario 1. A three dimensional finite element method and multigrid solver for a Darcy-Stokes system and applications to vuggy porous media. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2007. [cited 2021 Apr 15]. Available from: http://hdl.handle.net/2152/13131.

Council of Science Editors:

San Martin Gomez, Mario 1. A three dimensional finite element method and multigrid solver for a Darcy-Stokes system and applications to vuggy porous media. [Doctoral Dissertation]. University of Texas – Austin; 2007. Available from: http://hdl.handle.net/2152/13131

3. Wang, Xingyao, active 21st century. Krylov methods for solving linear systems.

Degree: MSin Computational Science, Engineering, and Mathematics, Computational Science, Engineering, and Mathematics, 2017, University of Texas – Austin

URL: http://hdl.handle.net/2152/62387

► Krylov methods are considered as one of the most popular classes of numerical methods to solve large sparse linear systems of equations. One of the…
(more)

Subjects/Keywords: Krylov methods; Linear systems; Conjugate gradient algorithm; GMRES algorithm; Preconditions

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APA (6^{th} Edition):

Wang, Xingyao, a. 2. c. (2017). Krylov methods for solving linear systems. (Masters Thesis). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/62387

Chicago Manual of Style (16^{th} Edition):

Wang, Xingyao, active 21st century. “Krylov methods for solving linear systems.” 2017. Masters Thesis, University of Texas – Austin. Accessed April 15, 2021. http://hdl.handle.net/2152/62387.

MLA Handbook (7^{th} Edition):

Wang, Xingyao, active 21st century. “Krylov methods for solving linear systems.” 2017. Web. 15 Apr 2021.

Vancouver:

Wang, Xingyao a2c. Krylov methods for solving linear systems. [Internet] [Masters thesis]. University of Texas – Austin; 2017. [cited 2021 Apr 15]. Available from: http://hdl.handle.net/2152/62387.

Council of Science Editors:

Wang, Xingyao a2c. Krylov methods for solving linear systems. [Masters Thesis]. University of Texas – Austin; 2017. Available from: http://hdl.handle.net/2152/62387

4. Taicher, Abraham Levy. Mixed framework for Darcy-Stokes mixtures.

Degree: PhD, Computational and Applied Mathematics, 2014, University of Texas – Austin

URL: http://hdl.handle.net/2152/28357

► We consider the system of equations arising from mantle dynamics introduced by McKenzie (J. Petrology, 1985). In this multi-phase model, the fluid melt velocity obeys…
(more)

Subjects/Keywords: Degenerate elliptic; Mixture theory; Energy bounds; Mantle dynamics; Mixed method

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Taicher, A. L. (2014). Mixed framework for Darcy-Stokes mixtures. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/28357

Chicago Manual of Style (16^{th} Edition):

Taicher, Abraham Levy. “Mixed framework for Darcy-Stokes mixtures.” 2014. Doctoral Dissertation, University of Texas – Austin. Accessed April 15, 2021. http://hdl.handle.net/2152/28357.

MLA Handbook (7^{th} Edition):

Taicher, Abraham Levy. “Mixed framework for Darcy-Stokes mixtures.” 2014. Web. 15 Apr 2021.

Vancouver:

Taicher AL. Mixed framework for Darcy-Stokes mixtures. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2014. [cited 2021 Apr 15]. Available from: http://hdl.handle.net/2152/28357.

Council of Science Editors:

Taicher AL. Mixed framework for Darcy-Stokes mixtures. [Doctoral Dissertation]. University of Texas – Austin; 2014. Available from: http://hdl.handle.net/2152/28357

University of Texas – Austin

5. Zhao, Xikai. Implicit finite volume WENO schemes for solving hyperbolic conservation laws.

Degree: PhD, Mathematics, 2019, University of Texas – Austin

URL: http://dx.doi.org/10.26153/tsw/2982

► In this dissertation, we consider high order accurate, implicit, finite volume, weighted essentially non-oscillatoy (WENO) schemes for solving advection-diffusion equations. Our schemes are locally mass…
(more)

Subjects/Keywords: Hyperbolic; WENO reconstruction; WENO-AO; Implicit time-stepping

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Zhao, X. (2019). Implicit finite volume WENO schemes for solving hyperbolic conservation laws. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://dx.doi.org/10.26153/tsw/2982

Chicago Manual of Style (16^{th} Edition):

Zhao, Xikai. “Implicit finite volume WENO schemes for solving hyperbolic conservation laws.” 2019. Doctoral Dissertation, University of Texas – Austin. Accessed April 15, 2021. http://dx.doi.org/10.26153/tsw/2982.

MLA Handbook (7^{th} Edition):

Zhao, Xikai. “Implicit finite volume WENO schemes for solving hyperbolic conservation laws.” 2019. Web. 15 Apr 2021.

Vancouver:

Zhao X. Implicit finite volume WENO schemes for solving hyperbolic conservation laws. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2019. [cited 2021 Apr 15]. Available from: http://dx.doi.org/10.26153/tsw/2982.

Council of Science Editors:

Zhao X. Implicit finite volume WENO schemes for solving hyperbolic conservation laws. [Doctoral Dissertation]. University of Texas – Austin; 2019. Available from: http://dx.doi.org/10.26153/tsw/2982

University of Texas – Austin

6. -8477-1384. A quadrature Eulerian-Lagrangian WENO scheme for reservoir simulation.

Degree: PhD, Mathematics, 2015, University of Texas – Austin

URL: http://hdl.handle.net/2152/32535

► This dissertations focuses on solving the advection problem with the motivation of simulating transport in porous media. A quadrature based Eulerian-Lagrangian scheme is developed to…
(more)

Subjects/Keywords: Hyperbolic transport; Semi-Lagrangian; Finite volume; Characteristics; Traceline; WENO reconstruction; Compact stencil; Two-phase

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

-8477-1384. (2015). A quadrature Eulerian-Lagrangian WENO scheme for reservoir simulation. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/32535

Note: this citation may be lacking information needed for this citation format:

Author name may be incomplete

Chicago Manual of Style (16^{th} Edition):

-8477-1384. “A quadrature Eulerian-Lagrangian WENO scheme for reservoir simulation.” 2015. Doctoral Dissertation, University of Texas – Austin. Accessed April 15, 2021. http://hdl.handle.net/2152/32535.

Note: this citation may be lacking information needed for this citation format:

Author name may be incomplete

MLA Handbook (7^{th} Edition):

-8477-1384. “A quadrature Eulerian-Lagrangian WENO scheme for reservoir simulation.” 2015. Web. 15 Apr 2021.

Note: this citation may be lacking information needed for this citation format:

Author name may be incomplete

Vancouver:

-8477-1384. A quadrature Eulerian-Lagrangian WENO scheme for reservoir simulation. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2015. [cited 2021 Apr 15]. Available from: http://hdl.handle.net/2152/32535.

Author name may be incomplete

Council of Science Editors:

-8477-1384. A quadrature Eulerian-Lagrangian WENO scheme for reservoir simulation. [Doctoral Dissertation]. University of Texas – Austin; 2015. Available from: http://hdl.handle.net/2152/32535

Author name may be incomplete

University of Texas – Austin

7. -5063-5889. Numerical analysis of multiphase flows in porous media on non-rectangular geometry.

Degree: PhD, Computational Science, Engineering, and Mathematics, 2017, University of Texas – Austin

URL: http://hdl.handle.net/2152/68171

► Fluid flow through porous media is a subject of common interest in many branches of engineering as well as applied natural science. In this work,…
(more)

Subjects/Keywords: Multiphase flow; Porous media; Mixed finite element; H(div)-approximation; Arbogast-Tao element; Arbogast-Correa element; Direct serendipity element; Serendipity element; Enriched Galerkin method; Entropy viscosity stabilization; Capillary flux reconstruction; Heterogeneous capillary pressure; Two-phase flow

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

-5063-5889. (2017). Numerical analysis of multiphase flows in porous media on non-rectangular geometry. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/68171

Author name may be incomplete

Chicago Manual of Style (16^{th} Edition):

-5063-5889. “Numerical analysis of multiphase flows in porous media on non-rectangular geometry.” 2017. Doctoral Dissertation, University of Texas – Austin. Accessed April 15, 2021. http://hdl.handle.net/2152/68171.

Author name may be incomplete

MLA Handbook (7^{th} Edition):

-5063-5889. “Numerical analysis of multiphase flows in porous media on non-rectangular geometry.” 2017. Web. 15 Apr 2021.

Author name may be incomplete

Vancouver:

-5063-5889. Numerical analysis of multiphase flows in porous media on non-rectangular geometry. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2017. [cited 2021 Apr 15]. Available from: http://hdl.handle.net/2152/68171.

Author name may be incomplete

Council of Science Editors:

-5063-5889. Numerical analysis of multiphase flows in porous media on non-rectangular geometry. [Doctoral Dissertation]. University of Texas – Austin; 2017. Available from: http://hdl.handle.net/2152/68171

Author name may be incomplete

University of Texas – Austin

8. Lehr, Heather Lyn. Analysis of a Darcy-Stokes system modeling flow through vuggy porous media.

Degree: PhD, Mathematics, 2004, University of Texas – Austin

URL: http://hdl.handle.net/2152/1234

► Our goal is to accurately model flow through subsurface systems composed of vuggy porous media. A vug is a small cavity in a porous medium…
(more)

Subjects/Keywords: Porous materials – Mathematical models; Fluid dynamics – Mathematical models; Darcy's law; Stokes equations

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Lehr, H. L. (2004). Analysis of a Darcy-Stokes system modeling flow through vuggy porous media. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/1234

Chicago Manual of Style (16^{th} Edition):

Lehr, Heather Lyn. “Analysis of a Darcy-Stokes system modeling flow through vuggy porous media.” 2004. Doctoral Dissertation, University of Texas – Austin. Accessed April 15, 2021. http://hdl.handle.net/2152/1234.

MLA Handbook (7^{th} Edition):

Lehr, Heather Lyn. “Analysis of a Darcy-Stokes system modeling flow through vuggy porous media.” 2004. Web. 15 Apr 2021.

Vancouver:

Lehr HL. Analysis of a Darcy-Stokes system modeling flow through vuggy porous media. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2004. [cited 2021 Apr 15]. Available from: http://hdl.handle.net/2152/1234.

Council of Science Editors:

Lehr HL. Analysis of a Darcy-Stokes system modeling flow through vuggy porous media. [Doctoral Dissertation]. University of Texas – Austin; 2004. Available from: http://hdl.handle.net/2152/1234

University of Texas – Austin

9. Wang, Wenhao. An algorithm of a fully conservative volume corrected characteristics-mixed method for transport problems.

Degree: PhD, Computational and Applied Mathematics, 2009, University of Texas – Austin

URL: http://hdl.handle.net/2152/7589

► A basic phenomenon modeled computationally is tracer transport in a flow field, such as in porous medium simulation. We analyze the stability and convergence of…
(more)

Subjects/Keywords: Volume corrected characteristics-mixed method; Tracer transport problems

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Wang, W. (2009). An algorithm of a fully conservative volume corrected characteristics-mixed method for transport problems. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/7589

Chicago Manual of Style (16^{th} Edition):

Wang, Wenhao. “An algorithm of a fully conservative volume corrected characteristics-mixed method for transport problems.” 2009. Doctoral Dissertation, University of Texas – Austin. Accessed April 15, 2021. http://hdl.handle.net/2152/7589.

MLA Handbook (7^{th} Edition):

Wang, Wenhao. “An algorithm of a fully conservative volume corrected characteristics-mixed method for transport problems.” 2009. Web. 15 Apr 2021.

Vancouver:

Wang W. An algorithm of a fully conservative volume corrected characteristics-mixed method for transport problems. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2009. [cited 2021 Apr 15]. Available from: http://hdl.handle.net/2152/7589.

Council of Science Editors:

Wang W. An algorithm of a fully conservative volume corrected characteristics-mixed method for transport problems. [Doctoral Dissertation]. University of Texas – Austin; 2009. Available from: http://hdl.handle.net/2152/7589

University of Texas – Austin

10. Rath, James Michael, 1975-. Multiscale basis optimization for Darcy flow.

Degree: PhD, Computational and Applied Mathematics, 2007, University of Texas – Austin

URL: http://hdl.handle.net/2152/3977

► Simulation of flow through a heterogeneous porous medium with fine-scale features can be computationally expensive if the flow is fully resolved. Coarsening the problem gives…
(more)

Subjects/Keywords: Differential equations, Elliptic – Numerical solutions; Nonlinear theories; Darcy's law; Algorithms

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Rath, James Michael, 1. (2007). Multiscale basis optimization for Darcy flow. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/3977

Chicago Manual of Style (16^{th} Edition):

Rath, James Michael, 1975-. “Multiscale basis optimization for Darcy flow.” 2007. Doctoral Dissertation, University of Texas – Austin. Accessed April 15, 2021. http://hdl.handle.net/2152/3977.

MLA Handbook (7^{th} Edition):

Rath, James Michael, 1975-. “Multiscale basis optimization for Darcy flow.” 2007. Web. 15 Apr 2021.

Vancouver:

Rath, James Michael 1. Multiscale basis optimization for Darcy flow. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2007. [cited 2021 Apr 15]. Available from: http://hdl.handle.net/2152/3977.

Council of Science Editors:

Rath, James Michael 1. Multiscale basis optimization for Darcy flow. [Doctoral Dissertation]. University of Texas – Austin; 2007. Available from: http://hdl.handle.net/2152/3977

University of Texas – Austin

11. Brunson, Dana Sue. Simulating fluid flow in vuggy porous media.

Degree: PhD, Mathematics, 2005, University of Texas – Austin

URL: http://hdl.handle.net/2152/1832

► We develop and analyze a mixed finite element method for the solution of an elliptic system modeling a porous medium with large cavities, called vugs.…
(more)

Subjects/Keywords: Porous materials – Mathematical models; Fluid dynamics – Mathematical models; Finite element method

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Brunson, D. S. (2005). Simulating fluid flow in vuggy porous media. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/1832

Chicago Manual of Style (16^{th} Edition):

Brunson, Dana Sue. “Simulating fluid flow in vuggy porous media.” 2005. Doctoral Dissertation, University of Texas – Austin. Accessed April 15, 2021. http://hdl.handle.net/2152/1832.

MLA Handbook (7^{th} Edition):

Brunson, Dana Sue. “Simulating fluid flow in vuggy porous media.” 2005. Web. 15 Apr 2021.

Vancouver:

Brunson DS. Simulating fluid flow in vuggy porous media. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2005. [cited 2021 Apr 15]. Available from: http://hdl.handle.net/2152/1832.

Council of Science Editors:

Brunson DS. Simulating fluid flow in vuggy porous media. [Doctoral Dissertation]. University of Texas – Austin; 2005. Available from: http://hdl.handle.net/2152/1832