An incomplete factorization preconditioner based on shifted Laplace operators for FEM analysis of microwave structures

Abstract

AbstractIn this article, the tangential vector finite element method combined with the high‐order basis functions is applied for the analysis of electromagnetic problems based on Helmholtz equations. Different from conventional preconditioners, the preconditioner presented in this article is derived based on the shifted Laplace operator, and the diagonally perturbed incomplete factorization is used to approximate the inverse of this operator. Numerical experiments demonstrate that the proposed preconditioner can significantly speed up the iterative convergence of conjugate gradient method for several electromagnetic structures. © 2010 Wiley Periodicals, Inc. Microwave Opt Technol Lett 52: 1036–1042, 2010; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.25111