Additive Schwarz Preconditioners with Minimal Overlap for Triangular Spectral Elements

Additive Schwarz Preconditioners with Minimal Overlap for Triangular Spectral Elements

Year:    2013

Communications in Computational Physics, Vol. 13 (2013), Iss. 2 : pp. 411–427

Abstract

The additive Schwarz preconditioner with minimal overlap is extended to triangular spectral elements (TSEM). The method is a generalization of the corresponding method in tensorial quadrilateral spectral elements (QSEM). The proposed preconditioners are based on partitioning the domain into overlapping subdomains, solving local problems on these subdomains and solving an additional coarse problem associated with the subdomain mesh. The results of numerical experiments show that the proposed preconditioner are robust with respect to the number of elements and are more efficient than the preconditioners with generous overlaps.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.080711.160212a

Communications in Computational Physics, Vol. 13 (2013), Iss. 2 : pp. 411–427

Published online:    2013-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    17

Keywords:   

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