We present a family of preconditioners based on the auxiliary space method for a discontinuous Galerkin discretization on cubical meshes of H(curl;Ω)-elliptic problems with possibly discontinuous coefficients. We address the influence of possible discontinuities in the coefficients on the asymptotic performance of the proposed solvers and present numerical results in two dimensions.

Ayuso de Dios, B., Hiptmair, R., Pagliantini, C. (2018). Auxiliary space preconditioners for a DG discretization of H(curl; Ω)-elliptic problem on hexahedral meshes. In Domain Decomposition Methods in Science and Engineering XXIV (pp.223-231). Springer Verlag [10.1007/978-3-319-93873-8_20].

Auxiliary space preconditioners for a DG discretization of H(curl; Ω)-elliptic problem on hexahedral meshes

Ayuso de Dios, B
;
2018

Abstract

We present a family of preconditioners based on the auxiliary space method for a discontinuous Galerkin discretization on cubical meshes of H(curl;Ω)-elliptic problems with possibly discontinuous coefficients. We address the influence of possible discontinuities in the coefficients on the asymptotic performance of the proposed solvers and present numerical results in two dimensions.
paper
Auxiliary Space, H(curl)-problems, Hexahedral Meshes
English
International Domain Decomposition Methods in Science and Engineering
2016
Domain Decomposition Methods in Science and Engineering XXIV
978-3-319-93872-1
2018
125
223
231
reserved
Ayuso de Dios, B., Hiptmair, R., Pagliantini, C. (2018). Auxiliary space preconditioners for a DG discretization of H(curl; Ω)-elliptic problem on hexahedral meshes. In Domain Decomposition Methods in Science and Engineering XXIV (pp.223-231). Springer Verlag [10.1007/978-3-319-93873-8_20].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/218264
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