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2000•Microwave and Optical Technology LettersRequires access

Application of the preconditioned conjugate-gradient algorithm to the edge FEM for electromagnetic boundary-value problems

R. S. Chen, E.K.N. Yung, Chi Hou Chan, Fang Da

Open publisher page 23 citations

Abstract

In this letter, an effective symmetric successive overrelaxation (SSOR) preconditioning scheme is applied to the conjugate-gradient method for solving a large system of linear equations resulting from the use of the edge-based finite-element method (FEM). With SSOR as the preconditioner as well as its efficient implementation in the conjugate-gradient (CG) algorithm, the PCG method converges five times as fast as the CG method. This result demonstrates that SSOR is a good preconditioner for the CG iterative method when the FEM is applied to solve large-scale electromagnetic problems. © 2000 John Wiley & Sons, Inc. Microwave Opt Technol Lett 27: 235–238, 2000.

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What this paper is about

In this letter, an effective symmetric successive overrelaxation (SSOR) preconditioning scheme is applied to the conjugate-gradient method for solving a large system of linear equations resulting from the use of the edge-based finite-element method (FEM). With SSOR as the preconditioner as well as its efficient implementation in the conjugate-gradient (CG) algorithm, the PCG method converges five times as fast as the CG method. This result demonstrates that SSOR is a good preconditioner for the CG iterative method when the FEM is applied to solve large-scale electromagnetic problems. © 2000 John Wiley & Sons, Inc. Microwave Opt Technol Lett 27: 235–238, 2000.

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Available abstract

In this letter, an effective symmetric successive overrelaxation (SSOR) preconditioning scheme is applied to the conjugate-gradient method for solving a large system of linear equations resulting from the use of the edge-based finite-element method (FEM). With SSOR as the preconditioner as well as its efficient implementation in the conjugate-gradient (CG) algorithm, the PCG method converges five times as fast as the CG method. This result demonstrates that SSOR is a good preconditioner for the CG iterative method when the FEM is applied to solve large-scale electromagnetic problems. © 2000 John Wiley & Sons, Inc. Microwave Opt Technol Lett 27: 235–238, 2000.

Key concepts: Preconditioner, Conjugate gradient method, Finite element method, Iterative method, Mathematics, Applied mathematics, Boundary value problem, Conjugate residual method

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