On non-overlapping domain decomposition preconditioners for discontinuous Galerkin finite element methods in $H^{2}$-type norms

We analyse the spectral bounds of non-overlapping domain decomposition additive Schwarz preconditioners for $hp$-version discontinuous Galerkin finite element methods in $H^{2}$-type norms. Using original approximation results for discontinuous finite element spaces, it is found that these precondit...

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Bibliographic Details
Main Author: Smears, I
Format: Report
Published: Unspecified 2013