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- 자료유형
- 학술저널
- 저자정보
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- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.12 No.1
- 발행연도
- 2008.6
- 수록면
- 13 - 23 (11page)
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In [7, 8], they proposed a new singular function(NSF) method to compute singular solutions of Poisson equations on a polygonal domain with re-entrant angles. Singularities are eliminated and only the regular part of the solution that is in H² is computed. The stress intensity factor and the solution can be computed as a post processing step. This method was extended to the interface problem and Poisson equations with the mixed boundary condition. In this paper, we give NSF method for the Helmholtz equations -△u+Ku = f with homogeneous Dirichlet boundary condition. Examples with a singular point are given with numerical results.
목차
ABSTRACT
1. INTRODUCTION
2. SINGULAR FUNCTION REPRESENTATIONS
3. WELL-POSEDNESS
4. FINITE ELEMENT APPROXIMATION
5. NUMERICAL RESULTS
REFERENCES
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