Name
Abstract | ||
|---|---|---|
We consider the approximate solution of axisymmetric biharmonic problems using a boundary-type meshless method, the Method of Fundamental Solutions (MFS) with fixed singularities and boundary collocation. For such problems, the coefficient matrix of the linear system defining the approximate solution has a block circulant structure. This structure is exploited to formulate a matrix decomposition method employing fast Fourier transforms for the efficient solution of the system. The results of several numerical examples are presented. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1007/s10444-004-1808-6 | Adv. Comput. Math. |
Keywords | Field | DocType |
method of fundamental solutions,axisymmetric domains,biharmonic equation | Mathematical optimization,Coefficient matrix,Mathematical analysis,Matrix decomposition,Circulant matrix,Method of fundamental solutions,Singular boundary method,State-transition matrix,Biharmonic equation,Mathematics,Regularized meshless method | Journal |
Volume | Issue | ISSN |
23 | 1-2 | 1019-7168 |
Citations | PageRank | References |
5 | 1.07 | 3 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Graeme Fairweather | 1 | 142 | 33.42 |
| Andreas Karageorghis | 2 | 204 | 47.54 |
| Yiorgos-Sokratis Smyrlis | 3 | 41 | 8.44 |