Parallelized Iterative Domain Decomposition
Boundary Element Method For Thermoelasticity
Author(s)
B. G´amez, D.Ojeda, E. Divo, A. Kassab & M. Cerrolaza
Abstract
The boundary element method (BEM) requires only a surface mesh to solve
thermoelasticity problems, however, the resulting matrix is fully populated
and non-diagonally dominant. This poses serious challenges for large-scale
problems due to storage requirements and the solution of large sets of nonsymmetric
systems of equations. In this article, an effective and efficient domain
decomposition, or artificial sub-sectioning technique, along with a region-byregion
iteration algorithm particularly tailored for parallel computation to address
these issues are developed. The domain decomposition approach effectively
reduces the condition number of the resulting algebraic systems, while increasing
efficiency of the solution process and decreasing memory requirements. The
iterative process converges very efficiently while offering substantial savings
in memory. The iterative domain decomposition technique is ideally suited
for parallel computation. Results demonstrate the validity of the approach by
providing solutions that compare closely to single-region BEM solutions and
benchmark analytical solutions.
Keywords: domain decomposition, thermoelasticity, parallel computation,
boundary element method.
Keywords
domain decomposition, thermoelasticity, parallel computation,
boundary element method.
Related Book
Other papers in this volume
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