Adaptive h-r boundary element algorithm for the Laplace equation

W. Sun, N. G. Zamani

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

29 Citations (Scopus)

Abstract

In this paper, the combination of the h-method (mesh refinement) and the r-method (mesh redistribution) is employed to solve the Laplace equation using the boundary element procedure. The key in this approach is to derive on upper bound for the residual associated with the boundary element solution and minimize this bound with respect to an unknown grading function. The latter part is achieved by employing techniques of the calculus of variations.
Original languageEnglish
Pages (from-to)537-552
JournalInternational Journal for Numerical Methods in Engineering
Volume33
Issue number3
DOIs
Publication statusPublished - 1 Jan 1992
Externally publishedYes

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