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A regular indirect boundary element method for thermal analysis
Author(s) -
Wearing J. L.,
Sheikh M. A.
Publication year - 1988
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.1620250214
Subject(s) - classification of discontinuities , boundary element method , mathematics , boundary (topology) , rotational symmetry , scheme (mathematics) , finite element method , mathematical analysis , boundary knot method , singular boundary method , residual , method of mean weighted residuals , boundary value problem , surface (topology) , geometry , algorithm , engineering , structural engineering , galerkin method
A Regular Indirect Boundary Element formulation is developed following a weighted residual approach. In this formulation, the fictitious source density, which appears in the integral equations of the method, is distributed on a surface which is exteriorly separated from the physical field boundary of the problem. This approach does not require the evaluation of singular integrals and produces undeteriorated solutions at geometric discontinuities. The formulation is presented here as applied to two dimensional and axisymmetric thermal problems. It includes a different subregioning scheme which treats each subregion, of a multidomain problem, separately, thereby eliminating the need for a sophisticated reduction scheme.