Generalized Park-Sheen Finite Elements for Adaptivity |
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| Authors: | Robert Altmann Carsten Carstensen |
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| Institution: | 1. Institut für Mathematik, Technische Universität Berlin, Straße des 17. Juni 136, D-10623 Berlin, Germany;2. Institut für Mathematik, Humboldt-Universität zu Berlin, Unter den Linden 6, D-10099 Berlin, Germany |
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| Abstract: | The P1-nonconforming finite element method on simply connected Lipschitz domains partitioned into quadrilaterals was introduced by Park and Sheen in 2003. In order to apply mesh-adaptive refinement strategies, the concept is generalized to arbitrary triangulations into quadrilaterals and triangles of multiple connected Lipschitz domains. An explicit a priori analysis is given for second-order elliptic PDEs with inhomogeneous Dirichlet boundary conditions. (© 2012 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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