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Auxiliary space preconditioners for SIP-DG discretizations of H(curl)-elliptic problems with discontinuous coefficients
We propose a family of preconditioners for linear systems of equations arising from a piecewise polynomial symmetric interior penalty discontinuous Galerkin discretization of H(curl, Ω)-elliptic boundary value problems on conforming meshes. The design and analysis of the proposed preconditioners rely on the auxiliary space method (ASM) employing an auxiliary space of H(curl, Ω)-conforming finite element functions together with a relaxation technique (local smoothing). On simplicial meshes, thedoi:10.3929/ethz-b-000126180 fatcat:ybisl7rdxzguvghdetmwfl7s2e