A reduction method for boundary element reanalysis

This paper is concerned with reanalysis for boundary element systems. An efficient and accurate reduction method is proposed for reanalyzing such systems. The new method has several merits. In particular, the reduced system has been uncoupled by a Gram–Schmidt orthonormalization procedure. Also, a c...

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Bibliographic Details
Published in:Computer methods in applied mechanics and engineering 1999-07, Vol.178 (1-2), p.125-139
Main Author: Leu, Liang-Jenq
Format: Article
Language:English
Subjects:
Boundary-integral methods
Computational techniques
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Mathematical methods in physics
Physics
Solid mechanics
Static elasticity
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
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Summary:This paper is concerned with reanalysis for boundary element systems. An efficient and accurate reduction method is proposed for reanalyzing such systems. The new method has several merits. In particular, the reduced system has been uncoupled by a Gram–Schmidt orthonormalization procedure. Also, a computation-inexpensive convergence criterion is proposed for the automatic determination of the number of basis vectors required to approximate the solution within a specified level of accuracy. Several example problems are illustrated to verify the accuracy and efficiency of the proposed reduction method.
ISSN:0045-7825
1879-2138
DOI:10.1016/S0045-7825(99)00008-0