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Implementation of a symmetric boundary element method in transient heat conduction with semi‐analytical integrations
Author(s) -
Carini Angelo,
Diligenti Mauro,
Salvadori Alberto
Publication year - 1999
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/(sici)1097-0207(19991220)46:11<1819::aid-nme734>3.0.co;2-j
Subject(s) - mathematics , discretization , mathematical analysis , boundary element method , boundary (topology) , thermal conduction , boundary value problem , matrix (chemical analysis) , transient (computer programming) , integral equation , polynomial , basis function , heat equation , domain (mathematical analysis) , finite element method , physics , computer science , materials science , composite material , thermodynamics , operating system
A time‐convolutive variational hypersingular integral formulation of transient heat conduction over a 2‐D homogeneous domain is considered. The adopted discretization leads to a linear equation system, whose coefficient matrix is symmetric, and is generated by double integrations in space and time. Assuming polynomial shape functions for the boundary unknowns, a set of compact formulae for the analytical time integrations is established. The spatial integrations are performed numerically using very efficient formulae just recently proposed. The competitiveness from the computational point of view of the symmetric boundary integral equation approach proposed herein is investigated on the basis of an original computer implementation. Copyright © 1999 John Wiley & Sons, Ltd.