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Charge simulation method using exterior mapping functions

  • Masashi Katsurada
Article

Abstract

Charge simulation method (CSM), which is a kind of fundamental solution method, applied to a boundary value problems for Laplace equation in a two-dimensional Jordan region (bounded region whose boundary is a closed Jordan curve) is considered. We prove that if we use an exterior mapping function of the region to determine charge points and collocation points, then CSM solution converges to the exact solution under a hypothesis that the boundary curve is real analytic. We also obtain an error estimate which says that if the boundary data is real analytic, exponential convergence occurs.

Key words

charge simulation method fundamental solution methods Laplace equation boundary value problem exterior mapping function 

References

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Copyright information

© JJIAM Publishing Committee 1994

Authors and Affiliations

  • Masashi Katsurada
    • 1
  1. 1.Department of Mathematics, School of Science and TechnologyMeiji UniversityKawasakiJapan

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