A posteriori error estimation for hp-version time-stepping methods for parabolic partial differential equations |
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| Authors: | Dominik Schötzau Thomas P Wihler |
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| Institution: | 1. Department of Mathematics, University of British Columbia, 1984 Mathematics Road, Vancouver, BC, V6T 1Z2, Canada
2. Mathematics Institute, Universit?t Bern, Sidlerstrasse 5, 3012, Bern, Switzerland
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| Abstract: | The aim of this paper is to develop an hp-version a posteriori error analysis for the time discretization of parabolic problems by the continuous Galerkin (cG) and
the discontinuous Galerkin (dG) time-stepping methods, respectively. The resulting error estimators are fully explicit with
respect to the local time-steps and approximation orders. Their performance within an hp-adaptive refinement procedure is illustrated with a series of numerical experiments. |
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