Auxiliary space preconditioning in H
0(curl; Ω) |
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Authors: | R Hiptmair G Widmer J Zou |
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Institution: | (1) SAM ETZ Zürich, 8092 Zürich;(2) Department of Mathematics, The Chinese University of Hong Kong, Shatin, N.T, Hong Kong |
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Abstract: | We adapt the principle of auxiliary space preconditioning as presented in J. Xu, The auxiliary space method and optimal multigrid preconditioning techniques for unstructured grids, Computing, 56 (1996), pp. 215–235.] to H (curl; ω)-elliptic variational problems discretized by means of edge elements. The focus is on theoretical analysis within the abstract
framework of subspace correction. Employing a Helmholtz-type splitting of edge element vector fields we can establish asymptotic
h-uniform optimality of the preconditioner defined by our auxiliary space method.
This author was fully supported by Hong Kong RGC grant (Project No. 403403)
This author acknowledges the support from a Direct Grant of CUHK during his visit at The Chinese University of Hong Kong. |
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Keywords: | 65N22 65F10 65N30 65N55 |
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