Discontinuous Galerkin finite element approximation of nondivergence form elliptic equations with Cordès coefficients

Nondivergence form elliptic equations with discontinuous coefficients do not generally possess a weak formulation, thus presenting an obstacle to their numerical solution by classical finite element methods. We propose a new $hp$-version discontinuous Galerkin finite element method for a class of th...

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Bibliographic Details
Main Authors: Smears, I, Süli, E
Format: Journal article
Language:English
Published: Society for Industrial and Applied Mathematics 2013