Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/1857
Título: | A wavelet based numerical method for nonlinear partial differential equations |
Autor(es): | Dahlke, S. Lindemann, M. Teschke, G. Zhariy, M. Soares, M. J. Cerejeiras, P. Kähler, U. |
Data: | 2003 |
Citação: | DAHLKE, S.; LINDEMANN, M.; TESCHKE, G.; ZHARIY, M.; SOARES, M. J.; CEREJEIRAS, P.; KAHLER, U. - A wavelet based numerical method for nonlinear partial differential equations. In Gürlebeck, K.; Hempel, L; Könke, C., ed. lit. - “International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering - IKM, 16, Weimar, 2003 : proceedings” [Em linha]. Weimar : Bauhaus-Universität, 2003. [Consult. 30 Maio 2005]. Disponível em http://e-pub.uni-weimar.de/volltexte/2005/375/. |
Resumo(s): | The purpose of this paper is to present a wavelet–Galerkin scheme for solving nonlinear elliptic partial differential equations. We select as trial spaces a nested sequence of spaces from an appropriate biorthogonal multiscale analysis. This gives rise to a nonlinear discretized system. To overcome the problems of nonlinearity, we apply the machinery of interpolating wavelets to obtain knot oriented quadrature rules. Finally, Newton’s method is applied to approximate the solution in the given ansatz space. The results of some numerical experiments with different biorthogonal systems, confirming the applicability of our scheme, are presented. |
Tipo: | Artigo em ata de conferência |
URI: | https://hdl.handle.net/1822/1857 |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | DMAT - Comunicações |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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DLTZSCK_WaveletBN_ActasConfWeimar2003.pdf | 141,62 kB | Adobe PDF | Ver/Abrir |