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An adaptive h ‐ r boundary element algorithm for the laplace equation
Author(s) -
Sun W.,
Zamani N. G.
Publication year - 1992
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620330305
Subject(s) - laplace's equation , laplace transform , mathematics , boundary element method , mathematical analysis , finite element method , green's function for the three variable laplace equation , boundary (topology) , upper and lower bounds , algorithm , calculus (dental) , boundary value problem , engineering , structural engineering , medicine , dentistry
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.