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Rice University

1.
Geldermans, Peter.
Accelerated PDE Constrained Optimization using Direct * Solvers*.

Degree: MA, Engineering, 2018, Rice University

URL: http://hdl.handle.net/1911/105485

► In this thesis, I propose a method to reduce the cost of computing solutions to optimization problems governed by partial differential equations (PDEs). Standard second…
(more)

Subjects/Keywords: PDE constrained optimization; direct solvers; fast solvers

Record Details Similar Records

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

APA (6^{th} Edition):

Geldermans, P. (2018). Accelerated PDE Constrained Optimization using Direct Solvers. (Masters Thesis). Rice University. Retrieved from http://hdl.handle.net/1911/105485

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

Geldermans, Peter. “Accelerated PDE Constrained Optimization using Direct Solvers.” 2018. Masters Thesis, Rice University. Accessed February 28, 2021. http://hdl.handle.net/1911/105485.

MLA Handbook (7^{th} Edition):

Geldermans, Peter. “Accelerated PDE Constrained Optimization using Direct Solvers.” 2018. Web. 28 Feb 2021.

Vancouver:

Geldermans P. Accelerated PDE Constrained Optimization using Direct Solvers. [Internet] [Masters thesis]. Rice University; 2018. [cited 2021 Feb 28]. Available from: http://hdl.handle.net/1911/105485.

Council of Science Editors:

Geldermans P. Accelerated PDE Constrained Optimization using Direct Solvers. [Masters Thesis]. Rice University; 2018. Available from: http://hdl.handle.net/1911/105485

King Abdullah University of Science and Technology

2.
Chavez Chavez, Gustavo Ivan.
Robust and scalable hierarchical matrix-based *fast* direct solver and preconditioner for the numerical solution of elliptic partial differential equations.

Degree: Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division, 2017, King Abdullah University of Science and Technology

URL: http://hdl.handle.net/10754/625172

► This dissertation introduces a novel *fast* direct solver and preconditioner for the solution of block tridiagonal linear systems that arise from the discretization of elliptic…
(more)

Subjects/Keywords: hierarchical matrices; cyclic reduction; fast solvers; Direct solvers; preconditioning; Parallel Computing

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

APA (6^{th} Edition):

Chavez Chavez, G. I. (2017). Robust and scalable hierarchical matrix-based fast direct solver and preconditioner for the numerical solution of elliptic partial differential equations. (Thesis). King Abdullah University of Science and Technology. Retrieved from http://hdl.handle.net/10754/625172

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

Not specified: Masters Thesis or Doctoral Dissertation

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

Chavez Chavez, Gustavo Ivan. “Robust and scalable hierarchical matrix-based fast direct solver and preconditioner for the numerical solution of elliptic partial differential equations.” 2017. Thesis, King Abdullah University of Science and Technology. Accessed February 28, 2021. http://hdl.handle.net/10754/625172.

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

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Chavez Chavez, Gustavo Ivan. “Robust and scalable hierarchical matrix-based fast direct solver and preconditioner for the numerical solution of elliptic partial differential equations.” 2017. Web. 28 Feb 2021.

Vancouver:

Chavez Chavez GI. Robust and scalable hierarchical matrix-based fast direct solver and preconditioner for the numerical solution of elliptic partial differential equations. [Internet] [Thesis]. King Abdullah University of Science and Technology; 2017. [cited 2021 Feb 28]. Available from: http://hdl.handle.net/10754/625172.

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

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Chavez Chavez GI. Robust and scalable hierarchical matrix-based fast direct solver and preconditioner for the numerical solution of elliptic partial differential equations. [Thesis]. King Abdullah University of Science and Technology; 2017. Available from: http://hdl.handle.net/10754/625172

Not specified: Masters Thesis or Doctoral Dissertation

King Abdullah University of Science and Technology

3.
Alharthi, Noha.
* Fast* High-order Integral Equation

Degree: Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division, 2019, King Abdullah University of Science and Technology

URL: http://hdl.handle.net/10754/660105

► Acoustic and electromagnetic scattering from arbitrarily shaped structures can be numerically characterized by solving various surface integral equations (SIEs). One of the most effective techniques…
(more)

Subjects/Keywords: Boundary Integral Equation; Acoustic Scattering; LU-Based Solver; Fast Solvers; Fast Multipole Solvers; Tile Low-Rank Approximations

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

APA (6^{th} Edition):

Alharthi, N. (2019). Fast High-order Integral Equation Solvers for Acoustic and Electromagnetic Scattering Problems. (Thesis). King Abdullah University of Science and Technology. Retrieved from http://hdl.handle.net/10754/660105

Not specified: Masters Thesis or Doctoral Dissertation

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

Alharthi, Noha. “Fast High-order Integral Equation Solvers for Acoustic and Electromagnetic Scattering Problems.” 2019. Thesis, King Abdullah University of Science and Technology. Accessed February 28, 2021. http://hdl.handle.net/10754/660105.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Alharthi, Noha. “Fast High-order Integral Equation Solvers for Acoustic and Electromagnetic Scattering Problems.” 2019. Web. 28 Feb 2021.

Vancouver:

Alharthi N. Fast High-order Integral Equation Solvers for Acoustic and Electromagnetic Scattering Problems. [Internet] [Thesis]. King Abdullah University of Science and Technology; 2019. [cited 2021 Feb 28]. Available from: http://hdl.handle.net/10754/660105.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Alharthi N. Fast High-order Integral Equation Solvers for Acoustic and Electromagnetic Scattering Problems. [Thesis]. King Abdullah University of Science and Technology; 2019. Available from: http://hdl.handle.net/10754/660105

Not specified: Masters Thesis or Doctoral Dissertation

University of Texas – Austin

4.
-5494-1880.
* Fast* and scalable

Degree: PhD, Aerospace Engineering, 2019, University of Texas – Austin

URL: http://dx.doi.org/10.26153/tsw/5474

► The hybridized discontinuous Galerkin methods (HDG) introduced a decade ago is a promising candidate for high-order spatial discretization combined with implicit/implicit-explicit time stepping. Roughly speaking,…
(more)

Subjects/Keywords: Hybridized discontinuous Galerkin; Fast solvers; Multigrid; Multilevel; MHD; Domain decomposition

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

APA (6^{th} Edition):

-5494-1880. (2019). Fast and scalable solvers for high-order hybridized discontinuous Galerkin methods with applications to fluid dynamics and magnetohydrodynamics. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://dx.doi.org/10.26153/tsw/5474

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

Author name may be incomplete

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

-5494-1880. “Fast and scalable solvers for high-order hybridized discontinuous Galerkin methods with applications to fluid dynamics and magnetohydrodynamics.” 2019. Doctoral Dissertation, University of Texas – Austin. Accessed February 28, 2021. http://dx.doi.org/10.26153/tsw/5474.

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

Author name may be incomplete

MLA Handbook (7^{th} Edition):

-5494-1880. “Fast and scalable solvers for high-order hybridized discontinuous Galerkin methods with applications to fluid dynamics and magnetohydrodynamics.” 2019. Web. 28 Feb 2021.

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

Author name may be incomplete

Vancouver:

-5494-1880. Fast and scalable solvers for high-order hybridized discontinuous Galerkin methods with applications to fluid dynamics and magnetohydrodynamics. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2019. [cited 2021 Feb 28]. Available from: http://dx.doi.org/10.26153/tsw/5474.

Author name may be incomplete

Council of Science Editors:

-5494-1880. Fast and scalable solvers for high-order hybridized discontinuous Galerkin methods with applications to fluid dynamics and magnetohydrodynamics. [Doctoral Dissertation]. University of Texas – Austin; 2019. Available from: http://dx.doi.org/10.26153/tsw/5474

Author name may be incomplete

Stellenbosch University

5.
Jackman, Kyle.
* Fast* multi-core CEM

Degree: PhD, Electrical and Electronic Engineering, 2018, Stellenbosch University

URL: http://hdl.handle.net/10019.1/103747

►

ENGLISH ABSTRACT: The dissertation presents the development of a numerical field solver, called TetraHenry (TTH), for inductance extraction and flux trapping analysis of superconducting integrated… (more)

Subjects/Keywords: Fast Multi-Core CEM Solvers; CEM (Air quality); Integrated circuits; Heat flux; UCTD

Record Details Similar Records

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

APA (6^{th} Edition):

Jackman, K. (2018). Fast multi-core CEM solvers and flux trapping analysis for superconducting structures. (Doctoral Dissertation). Stellenbosch University. Retrieved from http://hdl.handle.net/10019.1/103747

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

Jackman, Kyle. “Fast multi-core CEM solvers and flux trapping analysis for superconducting structures.” 2018. Doctoral Dissertation, Stellenbosch University. Accessed February 28, 2021. http://hdl.handle.net/10019.1/103747.

MLA Handbook (7^{th} Edition):

Jackman, Kyle. “Fast multi-core CEM solvers and flux trapping analysis for superconducting structures.” 2018. Web. 28 Feb 2021.

Vancouver:

Jackman K. Fast multi-core CEM solvers and flux trapping analysis for superconducting structures. [Internet] [Doctoral dissertation]. Stellenbosch University; 2018. [cited 2021 Feb 28]. Available from: http://hdl.handle.net/10019.1/103747.

Council of Science Editors:

Jackman K. Fast multi-core CEM solvers and flux trapping analysis for superconducting structures. [Doctoral Dissertation]. Stellenbosch University; 2018. Available from: http://hdl.handle.net/10019.1/103747

University of Southern California

6.
Chaudhari, Abhijit J.
*Fast**solvers* in hyperspectral optical bioluminescence
tomography for small animal imaging.

Degree: MS, Electrical Engineering, 2007, University of Southern California

URL: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/156808/rec/2772

► Hyperspectral Optical Bioluminescence Tomography (HOBT) yields fairly accurate 3D reconstructed source distributions in small animal studies. The diffusion equation models the light propagation in tissue…
(more)

Subjects/Keywords: hyperspectral optical bioluminescence tomography; fast solvers

Record Details Similar Records

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

APA (6^{th} Edition):

Chaudhari, A. J. (2007). Fast solvers in hyperspectral optical bioluminescence tomography for small animal imaging. (Masters Thesis). University of Southern California. Retrieved from http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/156808/rec/2772

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

Chaudhari, Abhijit J. “Fast solvers in hyperspectral optical bioluminescence tomography for small animal imaging.” 2007. Masters Thesis, University of Southern California. Accessed February 28, 2021. http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/156808/rec/2772.

MLA Handbook (7^{th} Edition):

Chaudhari, Abhijit J. “Fast solvers in hyperspectral optical bioluminescence tomography for small animal imaging.” 2007. Web. 28 Feb 2021.

Vancouver:

Chaudhari AJ. Fast solvers in hyperspectral optical bioluminescence tomography for small animal imaging. [Internet] [Masters thesis]. University of Southern California; 2007. [cited 2021 Feb 28]. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/156808/rec/2772.

Council of Science Editors:

Chaudhari AJ. Fast solvers in hyperspectral optical bioluminescence tomography for small animal imaging. [Masters Thesis]. University of Southern California; 2007. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/156808/rec/2772

Indian Institute of Science

7.
Das, Arkaprovo.
*Fast**Solvers* for Integtral-Equation based Electromagnetic Simulations.

Degree: PhD, Faculty of Engineering, 2018, Indian Institute of Science

URL: http://etd.iisc.ac.in/handle/2005/2998

► With the rapid increase in available compute power and memory, and bolstered by the advent of efficient formulations and algorithms, the role of 3D full-wave…
(more)

Subjects/Keywords: Electromagnetic Solvers; Method of Moments (MOM); Electromagnetic Simulations; Computational Electromagnetics; Electromagnetics; Fast Multiple Method; Adaptive Mesh Refinement; Integral Equation Electromagnetic Solvers; Electromagnetic Refinement Indicators; Electric Field Integral Equation; Electrical Communication Engineering

Record Details Similar Records

❌

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

APA (6^{th} Edition):

Das, A. (2018). Fast Solvers for Integtral-Equation based Electromagnetic Simulations. (Doctoral Dissertation). Indian Institute of Science. Retrieved from http://etd.iisc.ac.in/handle/2005/2998

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

Das, Arkaprovo. “Fast Solvers for Integtral-Equation based Electromagnetic Simulations.” 2018. Doctoral Dissertation, Indian Institute of Science. Accessed February 28, 2021. http://etd.iisc.ac.in/handle/2005/2998.

MLA Handbook (7^{th} Edition):

Das, Arkaprovo. “Fast Solvers for Integtral-Equation based Electromagnetic Simulations.” 2018. Web. 28 Feb 2021.

Vancouver:

Das A. Fast Solvers for Integtral-Equation based Electromagnetic Simulations. [Internet] [Doctoral dissertation]. Indian Institute of Science; 2018. [cited 2021 Feb 28]. Available from: http://etd.iisc.ac.in/handle/2005/2998.

Council of Science Editors:

Das A. Fast Solvers for Integtral-Equation based Electromagnetic Simulations. [Doctoral Dissertation]. Indian Institute of Science; 2018. Available from: http://etd.iisc.ac.in/handle/2005/2998

Universitat Politècnica de Catalunya

8.
Tamayo Palau, José María.
Multilevel adaptive cross approximation and direct evaluation method for *fast* and accurate discretization of electromagnetic integral equations.

Degree: Departament de Teoria del Senyal i Comunicacions, 2011, Universitat Politècnica de Catalunya

URL: http://hdl.handle.net/10803/6952

► The Method of Moments (MoM) has been widely used during the last decades for the discretization and the solution of integral equation formulations appearing in…
(more)

Subjects/Keywords: vertex adjacent integration; edge adjacent integration; adaptive cross approximation; impedance matrix compression; electromagnetism; numerical simulation; singular integrals; surface integral equations; fast solvers; method of moments (MOM); 517; 621.3

Record Details Similar Records

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

APA (6^{th} Edition):

Tamayo Palau, J. M. (2011). Multilevel adaptive cross approximation and direct evaluation method for fast and accurate discretization of electromagnetic integral equations. (Thesis). Universitat Politècnica de Catalunya. Retrieved from http://hdl.handle.net/10803/6952

Not specified: Masters Thesis or Doctoral Dissertation

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

Tamayo Palau, José María. “Multilevel adaptive cross approximation and direct evaluation method for fast and accurate discretization of electromagnetic integral equations.” 2011. Thesis, Universitat Politècnica de Catalunya. Accessed February 28, 2021. http://hdl.handle.net/10803/6952.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Tamayo Palau, José María. “Multilevel adaptive cross approximation and direct evaluation method for fast and accurate discretization of electromagnetic integral equations.” 2011. Web. 28 Feb 2021.

Vancouver:

Tamayo Palau JM. Multilevel adaptive cross approximation and direct evaluation method for fast and accurate discretization of electromagnetic integral equations. [Internet] [Thesis]. Universitat Politècnica de Catalunya; 2011. [cited 2021 Feb 28]. Available from: http://hdl.handle.net/10803/6952.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Tamayo Palau JM. Multilevel adaptive cross approximation and direct evaluation method for fast and accurate discretization of electromagnetic integral equations. [Thesis]. Universitat Politècnica de Catalunya; 2011. Available from: http://hdl.handle.net/10803/6952

Not specified: Masters Thesis or Doctoral Dissertation

9.
Zhang, Yabin.
A *fast* direct solver for boundary value problems with locally-perturbed geometries.

Degree: MA, Engineering, 2017, Rice University

URL: http://hdl.handle.net/1911/105467

► Many problems in science and engineering can be formulated as integral equations with elliptic kernels. In particular, in optimal control and design problems, the domain…
(more)

Subjects/Keywords: fast direct solvers; boundary integral equations; local perturbation

…system as well as a more detailed discussion of one of the *fast* direct
*solvers*, specifically… …the HBS solver.
6
Chapter 2
*Fast* Direct *Solvers* for BIEs
The solver proposed in this… …wider range of problems.
In the last fifteen years, new *fast* direct *solvers*, such as HSS, HBS… …area in current
research.
10
2.2
Outline of *Fast* Direct *Solvers*
The previous section… …lists several recently-developed *fast* direct *solvers* for BIEs: HSS,
HBS, and HODLR [20…

Record Details Similar Records

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

APA (6^{th} Edition):

Zhang, Y. (2017). A fast direct solver for boundary value problems with locally-perturbed geometries. (Masters Thesis). Rice University. Retrieved from http://hdl.handle.net/1911/105467

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

Zhang, Yabin. “A fast direct solver for boundary value problems with locally-perturbed geometries.” 2017. Masters Thesis, Rice University. Accessed February 28, 2021. http://hdl.handle.net/1911/105467.

MLA Handbook (7^{th} Edition):

Zhang, Yabin. “A fast direct solver for boundary value problems with locally-perturbed geometries.” 2017. Web. 28 Feb 2021.

Vancouver:

Zhang Y. A fast direct solver for boundary value problems with locally-perturbed geometries. [Internet] [Masters thesis]. Rice University; 2017. [cited 2021 Feb 28]. Available from: http://hdl.handle.net/1911/105467.

Council of Science Editors:

Zhang Y. A fast direct solver for boundary value problems with locally-perturbed geometries. [Masters Thesis]. Rice University; 2017. Available from: http://hdl.handle.net/1911/105467