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Overlapping Schwarz preconditioners for isogeometric collocation methods
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DOI：10.1016/j.cma.2014.05.007.png)
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摘要
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Isogeometric collocation methods are very recent and promising numerical schemes that preserve the advantages of isogeometric analysis but often exhibit better performances than their Galerkin counterparts. In the present paper, an additive overlapping Schwarz method for isogeometric collocation discretizations is introduced and studied. The resulting preconditioner, accelerated by GMRES, is shown to be scalable with respect to the number of subdomains and very robust with respect to the isogeometric discretization parameters such as the mesh size and polynomial degree, as well as with respect to the presence of discontinuous elliptic coefficients and domain deformations. (C) 2014 Elsevier B.V. All rights reserved.
Keyword:
Domain decomposition methods
Overlapping Schwarz
Scalable preconditioners
Isogeometric analysis
Collocation method
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期刊
IF:
7.3
论文数:
1.3W
被引数:
5.6W
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Accurate, efficient, and (iso)geometrically flexible collocation methods for phase-field models用于相场模型的精确，高效和 (iso) 几何灵活的配置方法
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