Local strong form meshless method on multiple Graphics Processing Units

This paper deals with the implementation of the local meshless numerical method (LMM) on general purpose graphics processing units (GPU) in solving partial differential equations (PDE). The local meshless solution procedure is formulated in a way suitable for parallel execution and has been implemen...

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Bibliographic Details
Published inComputer modeling in engineering & sciences Vol. 91; no. 5; pp. 377 - 396
Main Authors Kosec, G, Zinterhof, P
Format Journal Article
LanguageEnglish
Published Henderson Tech Science Press 2013
Subjects
Basis functions
Computation
Convergence
Error analysis
Finite element method
Graphics processing units
Mathematical analysis
Mathematical models
Meshless methods
Numerical methods
Partial differential equations
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Summary:This paper deals with the implementation of the local meshless numerical method (LMM) on general purpose graphics processing units (GPU) in solving partial differential equations (PDE). The local meshless solution procedure is formulated in a way suitable for parallel execution and has been implemented on multiple GPUs. The implementation is tested on a solution of diffusion equation in a 2D domain. Different setups of the meshless approach regarding the selection of basis functions are tested on an interval up to 2.5 million of computational points. It is shown that monomials are a good selection of the basis when working with a high number of nodes. The results are presented in terms of error analysis, convergence analysis and computational performance measurements.
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ISSN:1526-1492
1526-1506
DOI:10.3970/cmes.2013.091.377