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...
Main Authors: | , , |
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Format: | Report |
Published: |
Unspecified
2001
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