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...

Полное описание

Библиографические подробности
Главный автор: Smears, I
Формат: Report
Опубликовано: Unspecified 2013