Actions for Exact de Rham Sequences of Spaces Defined on Macro-elements in Two and Three Spatial Dimensions [electronic resource].

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Exact de Rham Sequences of Spaces Defined on Macro-elements in Two and Three Spatial Dimensions [electronic resource].

Published
Washington, D.C. : United States. Dept. of Energy, 2007.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy.
Physical Description
PDF-file: 24 pages; size: 0.7 Mbytes
Additional Creators
Lawrence Berkeley National Laboratory, United States. Department of Energy, and United States. Department of Energy. Office of Scientific and Technical Information
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Summary
This paper proposes new finite element spaces that can be constructed for agglomerates of standard elements that have certain regular structure. The main requirement is that the agglomerates share faces that have closed boundaries composed of 1-d edges. The spaces resulting from the agglomerated elements are subspaces of the original de Rham sequence of H¹-conforming, H(curl) conforming, H(div) conforming and piecewise constant spaces associated with an unstructured 'fine' mesh. The procedure can be recursively applied so that a sequence of nested de Rham complexes can be constructed. As an illustration we generate coarser spaces from the sequence corresponding to the lowest order Nedelec spaces, lowest order Raviart-Thomas spaces, and for piecewise linear H¹-conforming spaces, all in three-dimensions. The resulting V-cycle multigrid methods used in preconditioned conjugate gradient iterations appear to perform similar to those of the geometrically refined case.
Report Numbers
E 1.99:ucrl-jrnl-233047
ucrl-jrnl-233047
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Note
Published through SciTech Connect.
07/23/2007.
"ucrl-jrnl-233047"
SIAM Journal on Scientific Computing, vol. 30, no. 5, July 3, 2008, pp. 2427-2446 30 5 ISSN 1064-8275; SJOCE3 FT
Pasciak, J; Vassilevski, P.
Funding Information
W-7405-ENG-48
View MARC record | catkey: 14344542