JSME International Journal Series A Solid Mechanics and Material Engineering
Online ISSN : 1347-5363
Print ISSN : 1344-7912
ISSN-L : 1344-7912
Improvement of Numerical Techniques in BEM : Simultaneous Linear Equation
Seiichi YAMAJIHirokazu MATSUDAMuturou UENO
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1999 Volume 42 Issue 2 Pages 183-190

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Abstract

The boundary element method requires only discretization on the boundary but demands a memory capacity equivalent to the square of the total degrees of freedom and a computation time proportional to the cube of the total degrees of freedom. For a large-scale problem, since much time is consumed by communication between the main computer and an external memory device, the elapsed time is much longer than the CPU time. With the aim of reducing the elapsed time, we propose herein a new"diagonal escalation"method, which enables solving of simultaneous linear equations using about 1/4 of the normally required memory capacity. We also explored the possibility of using the present method to optimize the solution to both contact and eigenvalue problems, and cited examples of computations that demonstrate the present method's efficiency.

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© The Japan Society of Mechanical Engineers
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