Volume 5, Issue 2
A Fast High Order Iterative Solver for the Electromagnetic Scattering by Open Cavities Filled with the Inhomogeneous Media

Meiling Zhao

DOI: 10.4208/aamm.12-m12119

Adv. Appl. Math. Mech., 5 (2013), pp. 235-257.

Published online: 2013-05

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  • Abstract

The scattering of the open cavity filled with the inhomogeneous media is studied. The problem is discretized with a fourth order finite difference scheme and the immersed interface method, resulting in a linear system of equations with the high order accurate solutions in the whole computational domain. To solve the system of equations, we design an efficient iterative solver, which is based on the fast Fourier transformation, and provides an ideal preconditioner for Krylov subspace method. Numerical experiments demonstrate the capability of the proposed fast high order iterative solver.

  • Keywords

Helmholtz equation compact finite difference scheme discontinuous wave numbers immerse interface method fast iterative solver

  • AMS Subject Headings

65N06 78M20

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COPYRIGHT: © Global Science Press

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@Article{AAMM-5-235, author = {Meiling Zhao}, title = {A Fast High Order Iterative Solver for the Electromagnetic Scattering by Open Cavities Filled with the Inhomogeneous Media}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2013}, volume = {5}, number = {2}, pages = {235--257}, abstract = {

The scattering of the open cavity filled with the inhomogeneous media is studied. The problem is discretized with a fourth order finite difference scheme and the immersed interface method, resulting in a linear system of equations with the high order accurate solutions in the whole computational domain. To solve the system of equations, we design an efficient iterative solver, which is based on the fast Fourier transformation, and provides an ideal preconditioner for Krylov subspace method. Numerical experiments demonstrate the capability of the proposed fast high order iterative solver.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.12-m12119}, url = {http://global-sci.org/intro/article_detail/aamm/68.html} }
TY - JOUR T1 - A Fast High Order Iterative Solver for the Electromagnetic Scattering by Open Cavities Filled with the Inhomogeneous Media AU - Meiling Zhao JO - Advances in Applied Mathematics and Mechanics VL - 2 SP - 235 EP - 257 PY - 2013 DA - 2013/05 SN - 5 DO - http://dor.org/10.4208/aamm.12-m12119 UR - https://global-sci.org/intro/aamm/68.html KW - Helmholtz equation KW - compact finite difference scheme KW - discontinuous wave numbers KW - immerse interface method KW - fast iterative solver AB -

The scattering of the open cavity filled with the inhomogeneous media is studied. The problem is discretized with a fourth order finite difference scheme and the immersed interface method, resulting in a linear system of equations with the high order accurate solutions in the whole computational domain. To solve the system of equations, we design an efficient iterative solver, which is based on the fast Fourier transformation, and provides an ideal preconditioner for Krylov subspace method. Numerical experiments demonstrate the capability of the proposed fast high order iterative solver.

Meiling Zhao. (1970). A Fast High Order Iterative Solver for the Electromagnetic Scattering by Open Cavities Filled with the Inhomogeneous Media. Advances in Applied Mathematics and Mechanics. 5 (2). 235-257. doi:10.4208/aamm.12-m12119
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