Advertisement

Numerische Mathematik

, Volume 92, Issue 2, pp 325–356 | Cite as

Biorthogonal wavelet approximation for the coupling of FEM-BEM

  • H. Harbrecht
  • F. Paiva
  • C. Pérez
  • R. Schneider
Original article

Summary.

We apply multiscale methods to the coupling of finite and boundary element methods to solve an exterior Dirichlet boundary value problem for the two dimensional Poisson equation. Adopting biorthogonal wavelet matrix compression to the boundary terms with N degrees of freedom, we show that the resulting compression strategy fits the optimal convergence rate of the coupling Galerkin methods, while the number of nonzero entries in the corresponding stiffness matrices is considerably smaller than \(N^2\).

Mathematics Subject Classification (1991): 65N30, 65N38, 65T60 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • H. Harbrecht
    • 1
  • F. Paiva
    • 2
  • C. Pérez
    • 2
  • R. Schneider
    • 1
  1. 1.Fakultät für Mathematik, Technische Universität Chemnitz, 09107 Chemnitz, Germany; e-mail: {helmut.harbrecht,reinhold.schneider}@mathematik.tu-chemnitz.de DE
  2. 2.Departamento de Ingeniería Matemática, Universidad de Concepción, Casilla 160-C, Concepción, Chile; e-mail: {fpaiva,cperez}@ing-mat.udec.cl CL

Personalised recommendations