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A Compression Method for the Helmholtz Equation

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • Mirjam Stolper

    (Saarland University)

  • Sergej Rjasanow

    (Saarland University)

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.

Suggested Citation

  • Mirjam Stolper & Sergej Rjasanow, 2004. "A Compression Method for the Helmholtz Equation," Springer Books, in: Miloslav Feistauer & Vít Dolejší & Petr Knobloch & Karel Najzar (ed.), Numerical Mathematics and Advanced Applications, pages 786-795, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-18775-9_77
    DOI: 10.1007/978-3-642-18775-9_77
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