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p ‐adaptive boundary elements
Author(s) -
Alarcon E.,
Reverter A.
Publication year - 1986
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.1620230505
Subject(s) - interpolation (computer graphics) , boundary (topology) , ibm , estimator , boundary element method , computer science , mathematics , element (criminal law) , finite element method , boundary value problem , algebra over a field , algorithm , mathematical optimization , calculus (dental) , computational science , mathematical analysis , engineering , structural engineering , pure mathematics , animation , computer graphics (images) , statistics , materials science , law , political science , nanotechnology , medicine , dentistry
This paper presents the implementation of an adaptive philosophy to plane potential problems, using the direct boundary element method. After some considerations about the state of the art and a discussion of the standard approach features, the possibility of separately treating the modelling of variables and their interpolation through hierarchical shape functions is analysed. Then the proposed indicators and estimators are given, followed by a description of a small computer program written for an IBM PC. Finally, some examples show the kind of results to be expected.