WIT Press


A Domain Embedding Method And The Quasi- Monte Carlo Method For Poisson's Equation

Price

Free (open access)

Paper DOI

10.2495/BE950141

Volume

10

Pages

8

Published

1995

Size

742 kb

Author(s)

C.S. Chen & M.A. Golberg

Abstract

A numerical method has been developed to solve Poisson-type equations for arbitrary domain shape. Regardless of the geometric shape and with- out generating complex computational grids in the domain, we compute a particular solution numerically by embedding the solution domain in a rect- angle. For numerical integration, we adopt the quasi-Monte Carlo method. A numerical example demonstrates the simplicity and effectiveness of the proposed method. 1 Introduction In recent years the method of fundamental solutions (MFS) has gained vis- ibility in the engineering community [3, 4, 7, 8, 9]. The MFS can be consid- ered as an indirect boundary element method with an auxiliary boundary. For the MFS the approximate solution is a linear combination of funda- mental solutions of the governing partial differential

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