[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2003.40.6.1075

CURVED DOMAIN APPROXIMATION IN DIRICHLET'S PROBLEM

Lee, Mi-Young (Department of Management Information System Konkuk University)
Choo, Sang-Mok (School of Mathematics and Physics Ulsan University)
Chung, Sang-Kwon (Department of Mathematics Education Seoul National University)

Publication Information

Journal of the Korean Mathematical Society / v.40, no.6, 2003 , pp. 1075-1083 More about this Journal

Abstract

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.

Keywords

curved domain; polynomial boundary approximation; p-version; Poisson equation;

Citations & Related Records

Times Cited By Web Of Science : 0 (Related Records In Web of Science)
Times Cited By SCOPUS : 0

Reference

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