hp-Version discontinuous Galerkin finite element methods for semilinear parabolic problems

We consider the hp-version interior penalty discontinuous Galerkin finite element method (hp-DGFEM) for semilinear parabolic equations with mixed Dirichlet and Neumann boundary conditions. Our main concern is the error analysis of the hp--DGFEM on shape--regular spatial meshes. We derive error bound...

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Bibliographic Details
Main Authors: Lasis, A, Suli, E
Format: Report
Published: Unspecified 2003