hp-TDG/IPDG for Parabolic Obstacle Problems |
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| Authors: | Lothar Banz Ernst P Stephan |
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| Institution: | Institut für Angewandte Mathematik, Leibniz Universität Hannover, Welfengarten 1, 30167 Hannover |
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| Abstract: | We present a mixed hp-FE time DG method combined with an interior penalty DG method for parabolic obstacle problems. The discrete Lagragian multiplier set is spanned by basis functions which are biorthogonal to the basis functions of the primal variable. This allows us to write the discrete mixed problem as a problem of finding the root of a strongly semi-smooth function. In turn, this problem is solved by a locally Q-quadratic converging semi-smooth Newton method. (© 2011 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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