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1999•IEEE Microwave and Guided Wave LettersRequires access

Preconditioned generalized minimal residual iterative scheme for perfectly matched layer terminated applications

Youssry Y. Botros, John L. Volakis

Open publisher page 43 citations

Abstract

The anisotropic and active properties of the perfectly matched layer (PML) absorbers significantly deteriorate the finite-element method (FEM) system condition and as a result, convergence of the iterative solver is substantially affected. To address this issue, we examine the generalized minimal residual (GMRES) solver for solving finite-element systems terminated with PML. A strong approximate inverse preconditioner (AIPC) is coupled with a GMRES solver to speed up convergence and consequently reduce the overall CPU time.

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What this paper is about

The anisotropic and active properties of the perfectly matched layer (PML) absorbers significantly deteriorate the finite-element method (FEM) system condition and as a result, convergence of the iterative solver is substantially affected. To address this issue, we examine the generalized minimal residual (GMRES) solver for solving finite-element systems terminated with PML. A strong approximate inverse preconditioner (AIPC) is coupled with a GMRES solver to speed up convergence and consequently reduce the overall CPU time.

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Available abstract

The anisotropic and active properties of the perfectly matched layer (PML) absorbers significantly deteriorate the finite-element method (FEM) system condition and as a result, convergence of the iterative solver is substantially affected. To address this issue, we examine the generalized minimal residual (GMRES) solver for solving finite-element systems terminated with PML. A strong approximate inverse preconditioner (AIPC) is coupled with a GMRES solver to speed up convergence and consequently reduce the overall CPU time.

Key concepts: Generalized minimal residual method, Solver, Preconditioner, Perfectly matched layer, Finite element method, Convergence (economics), Residual, Iterative method

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