A parallel spectral element method for applications to computational mechanics
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Data
2001
Autori
Maggio, Fabio
Massidda, Luca
Sabadell, Javier
Siddi, Giuliana
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Abstract
We present a fully unstructured, parallel spectral element method based on domain decomposition. The implementation aims at improving accuracy and performance of a large number of applications in computational mechanics. We accomplish this target by merging the high accuracy of spectral methods with the flexibility of finite elements in treating problems with complex geometry. Parallelism is coarse grain and exploited at the algebraic level: the global linear system is distributed among processors, and then solved by iterative techniques. For evolutive problems it is possible to adopt explicit time-marching schemes, thus resulting in very competitive performances. We provide a couple of numerical experiments, based on the Helmholtz equation and the acoustic problem, and give a measure of accuracy and efficiency, illustrating the method in both steady and evolutive problems.
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Keywords
seismic wave propagation , acoustic wavefield , domain decomposition methods