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Numerische Mathematik

, Volume 70, Issue 3, pp 379–396 | Cite as

Wavelet solutions for the Dirichlet problem

  • Raymond O. Wells, Jr.
  • Xiaodong Zhou

Summary.

A modified classical penalty method for solving a Dirichlet boundary value problem is presented. This new fictitious domain penalty method eliminates the traditional need of generating a complex computation grid in the case of irregular domains. It is based on the fact that one can expand the boundary measure under the chosen basis which leads to a fast, approximate calculation of boundary integral. The compact support and orthonormality of the basis are essential for representing the boundary measure numerically, and therefore for implementing this methodology.

Mathematics Subject Classification (1991):65N30 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Raymond O. Wells, Jr.
    • 1
  • Xiaodong Zhou
    • 1
  1. 1.Rice University, Houston, Texas, USA US

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