CURVED DOMAIN APPROXIMATION IN DIRICHLET'S PROBLEM

CURVED DOMAIN APPROXIMATION IN DIRICHLET'S PROBLEM

The purpose of this paper is to investigate the piecewise wise polynomial approximation for the curved boundary. We analyze the error of an approximated solution due to this approximation and then compare the approximation errors for the cases of polygonal and piecewise polynomial approximations for...

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Veröffentlicht in:Journal of the Korean Mathematical Society 2003, 40(6), , pp.1075-1083
Hauptverfasser: Lee, Mi-Young, Choo, Sang-Mok, Chung, Sang-Kwon
Format: Artikel
Sprache:kor
Schlagworte:
수학
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Zusammenfassung:The purpose of this paper is to investigate the piecewise wise polynomial approximation for the curved boundary. We analyze the error of an approximated solution due to this approximation and then compare the approximation errors for the cases of polygonal and piecewise polynomial approximations for the curved boundary. Based on the results of analysis, p-version numerical methods for solving Dirichlet's problems are applied to any smooth curved domain.
ISSN:0304-9914
2234-3008