Media type: E-Article Title: Fast solvers with block‐diagonal preconditioners for linear FEM–BEM coupling Contributor: Funken, Stefan A.; Stephan, Ernst P. Published: Wiley, 2009 Published in: Numerical Linear Algebra with Applications, 16 (2009) 5, Seite 365-395 Language: English DOI: 10.1002/nla.620 ISSN: 1070-5325; 1099-1506 Keywords: Applied Mathematics ; Algebra and Number Theory Origination: Footnote: Description: <jats:title>Abstract</jats:title><jats:p>The purpose of this paper is to present optimal preconditioned iterative methods to solve indefinite linear systems of equations arising from symmetric coupling of finite elements and boundary elements. This is a block‐diagonal preconditioner together with a conjugate residual method and a preconditioned inner–outer iteration. We prove the efficiency of these methods by showing that the number of iterations to preserve a given accuracy is bounded independent of the number of unknowns. Numerical examples underline the efficiency of these methods. Copyright © 2008 John Wiley & Sons, Ltd.</jats:p>