hp-Adaptive discontinuous Galerkin finite element methods for first-order hyperbolic problems

We consider the a posteriori error analysis of hp-discontinuous Galerkin finite element approximations to first--order hyperbolic problems. In particular, we discuss the question of error estimation for linear functionals, such as the outflow flux and the local average of the solution. Based on our...

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