A Multi-domain Boundary Element Analysis
Technique Based On A Row Elimination-backsubstitution
Method For Solving Large-scale
Engineering Problems
Author(s)
X.-W. Gao & J.-X. Hu
Abstract
This paper presents a novel analysis technique using the multi-domain boundary
element method (MDBEM) to solve large-scale engineering problems. Firstly,
boundary integral equations for solving general heat conduction and mechanics
problems are presented, which are established for a single medium and are
formulated in terms of physical quantities at internal, boundary and interface
points. Then a sparse system of equations formulated in terms of only interface
nodal quantities is assembled based on the three-step variable condensing
technique. Finally, a robust linear equation solution method is presented for
solving the sparse system based on a row elimination-back-substitution method
(REBSM). Combining REBSM and MDBEM makes the boundary element
method more efficient for solving large practical engineering problems. A
numerical example is given to demonstrate the efficiency of the proposed
method.
Keywords: multi-domain boundary element method, Gaussian elimination
method, row elimination-back-substitution method, sparse system of equations.
1 Introduction
The boundary element method (BEM) is another extensively used numerical tool
in solving engineering problems after the development of the finite element
method (FEM). Apart from usual advantages mentioned in references (e.g., [1]),
a few important advantages of BEM over FEM can be figured out as: 1) only
Keywords
multi-domain boundary element method, Gaussian eliminationmethod, row elimination-back-substitution method, sparse system of equations
Related Book
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