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hp-dGFEM for Second-Order Mixed Elliptic Problems in Polyhedra: II: Exponential Convergence
[report]
2012
We introduce and analyze hp-version discontinuous Galerkin (dG) finite element methods for the numerical approximation of linear second-order elliptic boundary value problems in three dimensional polyhedral domains. In order to resolve possible corner-, edge-and corneredge singularities, we consider hexahedral meshes that are geometrically and anisotropically refined towards the corresponding neighborhoods. Similarly, the local polynomial degrees are increased s-linearly and possibly
doi:10.3929/ethz-a-010400078
fatcat:zjfnqhr53jbjjeqkssg3m3556u