hp-Discontinuous Galerkin Finite Element Methods for Hyperbolic Problems: Error Analysis and Adaptivity

We develop the a posteriori error analysis of the hp-version of the discontinuous Galerkin finite element method for linear and nonlinear hyperbolic problems. Sharp a posteriori error bounds are derived using a duality argument. The bounds exhibit an exponential rate of convergence under hp-refineme...

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Bibliographic Details
Main Authors: Suli, E, Houston, P, Senior, B
Format: Report
Published: Unspecified 2001