A Compression Method for the Helmholtz Equation

Mirjam Stolper () and Sergej Rjasanow ()
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Mirjam Stolper: Saarland University
Sergej Rjasanow: Saarland University

A chapter in Numerical Mathematics and Advanced Applications, 2004, pp 786-795 from Springer

Abstract: Summary The collocation boundary element method for the Dirichlet boundary value problem is considered. In order to solve efficiently the resulting linear systems for several wave numbers, the adaptive cross approximation (ACA) method is applied to the matrices. In particular, the algorithm is reformulated for complex problems and the so-called Fourier method is used to compute the necessary entries. Finally, some numerical examples for the solution are presented.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18775-9_77

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DOI: 10.1007/978-3-642-18775-9_77

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