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Boundary elements with equilibrium satisfaction—A consistent formulation for potential and elastostatic problems
Author(s) -
Telles J. C. F.,
de Paula F. A.
Publication year - 1991
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.1620320310
Subject(s) - discretization , stiffness , mathematics , boundary (topology) , boundary element method , finite element method , elasticity (physics) , boundary value problem , boundary knot method , simple (philosophy) , singular boundary method , method of fundamental solutions , mathematical optimization , mathematical analysis , structural engineering , engineering , physics , philosophy , epistemology , thermodynamics
Abstract A direct boundary element formulation which produces equilibrium satisfaction in the numerical solutions is presented. It consistently originates from the standard boundary integral equation with a simple modification in the fundamental solution and can be applied to general potential and elasticity problems. Since boundary equilibrium is guaranteed for any problem discretization, the procedure is also found useful to generate improved stiffness matrices, which permits combination with finite elements. Some elastostatic examples are included to demonstrate the applicability of the formulation.