Sparsifying preconditioner for the time-harmonic Maxwell's equations

Liu, Fei; Ying, Lexing

doi:10.1016/j.jcp.2018.10.004

Title: Sparsifying preconditioner for the time-harmonic Maxwell's equations

Journal Article · Tue Jan 01 00:00:00 EST 2019 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2018.10.004· OSTI ID:1635912

Liu, Fei;

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Sponsoring Organization:: USDOE

Grant/Contract Number:: DMS-1521830; FC02-13ER26134/DE-SC0009409

OSTI ID:: 1635912

Journal Information:: Journal of Computational Physics, Journal Name: Journal of Computational Physics Vol. 376 Journal Issue: C; ISSN 0021-9991

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 3 works

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References (20)

Nested Dissection of a Regular Finite Element Mesh George, Alan SIAM Journal on Numerical Analysis, Vol. 10, Issue 2 https://doi.org/10.1137/0710032	journal	April 1973
Mixed finite elements in ?3 Nedelec, J. C. Numerische Mathematik, Vol. 35, Issue 3 https://doi.org/10.1007/BF01396415	journal	September 1980
Fast convolution with the free space Helmholtz Green’s function Beylkin, Gregory; Kurcz, Christopher; Monzón, Lucas Journal of Computational Physics, Vol. 228, Issue 8 https://doi.org/10.1016/j.jcp.2008.12.027	journal	May 2009
Sparsify and Sweep: An Efficient Preconditioner for the Lippmann--Schwinger Equation Liu, Fei; Ying, Lexing SIAM Journal on Scientific Computing, Vol. 40, Issue 2 https://doi.org/10.1137/17M1132057	journal	January 2018
A perfectly matched layer for the absorption of electromagnetic waves Berenger, Jean-Pierre Journal of Computational Physics, Vol. 114, Issue 2 https://doi.org/10.1006/jcph.1994.1159	journal	October 1994
An algorithm for the machine calculation of complex Fourier series Cooley, James W.; Tukey, John W. Mathematics of Computation, Vol. 19, Issue 90 https://doi.org/10.1090/S0025-5718-1965-0178586-1	journal	May 1965
Sparsifying Preconditioner for Pseudospectral Approximations of Indefinite Systems on Periodic Structures Ying, Lexing Multiscale Modeling & Simulation, Vol. 13, Issue 2 https://doi.org/10.1137/140985159	journal	January 2015
Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers? Babuška, Ivo M.; Sauter, Stefan A. SIAM Journal on Numerical Analysis, Vol. 34, Issue 6 https://doi.org/10.1137/S0036142994269186	journal	December 1997
The Multifrontal Solution of Indefinite Sparse Symmetric Linear Duff, I. S.; Reid, J. K. ACM Transactions on Mathematical Software, Vol. 9, Issue 3 https://doi.org/10.1145/356044.356047	journal	September 1983
Sparsifying Preconditioner for the Lippmann--Schwinger Equation Ying, Lexing Multiscale Modeling & Simulation, Vol. 13, Issue 2 https://doi.org/10.1137/140985147	journal	January 2015
A sweeping preconditioner for Yee’s finite difference approximation of time-harmonic Maxwell’s equations Tsuji, Paul; Ying, Lexing Frontiers of Mathematics in China, Vol. 7, Issue 2 https://doi.org/10.1007/s11464-012-0191-8	journal	April 2012
FDFD: A 3D Finite-Difference Frequency-Domain Code for Electromagnetic Induction Tomography Champagne, Nathan J.; Berryman, James G.; Buettner, H. Michael Journal of Computational Physics, Vol. 170, Issue 2 https://doi.org/10.1006/jcph.2001.6765	journal	July 2001
Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media IEEE Transactions on Antennas and Propagation, Vol. 14, Issue 3 https://doi.org/10.1109/TAP.1966.1138693	journal	May 1966
A 3D perfectly matched medium from modified maxwell's equations with stretched coordinates Chew, Weng Cho; Weedon, William H. Microwave and Optical Technology Letters, Vol. 7, Issue 13 https://doi.org/10.1002/mop.4650071304	journal	September 1994
A sweeping preconditioner for time-harmonic Maxwell’s equations with finite elements Tsuji, Paul; Engquist, Bjorn; Ying, Lexing Journal of Computational Physics, Vol. 231, Issue 9 https://doi.org/10.1016/j.jcp.2012.01.025	journal	May 2012
High-order quadratures for the solution of scattering problems in two dimensions Duan, Ran; Rokhlin, Vladimir Journal of Computational Physics, Vol. 228, Issue 6 https://doi.org/10.1016/j.jcp.2008.11.033	journal	April 2009
Sweeping Preconditioner for the Helmholtz Equation: Moving Perfectly Matched Layers Engquist, Björn; Ying, Lexing Multiscale Modeling & Simulation, Vol. 9, Issue 2 https://doi.org/10.1137/100804644	journal	April 2011
The Multifrontal Method for Sparse Matrix Solution: Theory and Practice Liu, Joseph W. H. SIAM Review, Vol. 34, Issue 1 https://doi.org/10.1137/1034004	journal	March 1992
Sweeping preconditioner for the Helmholtz equation: Hierarchical matrix representation Engquist, Björn; Ying, Lexing Communications on Pure and Applied Mathematics, Vol. 64, Issue 5 https://doi.org/10.1002/cpa.20358	journal	February 2011
Recursive Sweeping Preconditioner for the Three-Dimensional Helmholtz Equation Liu, Fei; Ying, Lexing SIAM Journal on Scientific Computing, Vol. 38, Issue 2 https://doi.org/10.1137/15M1010154	journal	January 2016

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