Abstract | ||
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The Method of Fundamental Solutions (MFS) is a boundary-type meshless method for the solution of certain elliptic boundary value problems. In this work, we propose an efficient algorithm for the linear least-squares version of the MFS, when applied to the Dirichlet problem for certain second order elliptic equations in a disk. Various aspects of the method are discussed and a comparison with the standard MFS is carried out. Numerical results are presented. |
Year | DOI | Venue |
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2004 | 10.1023/B:NUMA.0000016581.85429.8d | Numerical Algorithms |
Keywords | Field | DocType |
method of fundamental solutions,linear least-squares method,boundary meshless methods,elliptic boundary value problems | Elliptic rational functions,Boundary value problem,Mathematical optimization,Mathematical analysis,Method of fundamental solutions,Singular boundary method,Elliptic curve point multiplication,Mathematics,Schoof's algorithm,Regularized meshless method,Elliptic boundary value problem | Journal |
Volume | Issue | ISSN |
35 | 1 | 1572-9265 |
Citations | PageRank | References |
2 | 0.78 | 3 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Yiorgos-Sokratis Smyrlis | 1 | 41 | 8.44 |
Andreas Karageorghis | 2 | 204 | 47.54 |