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A posteriori error estimation for hp-version Galerkin timestepping for linear parabolic PDEs

T. Wihler, University of Bern, Switzerland

Wednesday, April 29
at 16.15, HG E 1.2

We will present an hp-version a posteriori error analysis for the time discretizations of parabolic problems by both continuous (cG) and discontinuous Galerkin (dG) time-stepping methods within an abstract framework. The resulting error estimators are fully explicit with respect to the local time steps and approximation orders (polynomial degrees). Their performance within an $hp$-adaptive time stepping procedure shall be illustrated with a number of numerical experiments.

This talk is joint work with Dominik Schötzau, UBC.

 

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