Optimal adaptive nonconforming FEM for the Stokes problem |
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| Authors: | Carsten Carstensen Daniel Peterseim Hella Rabus |
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| Institution: | 1. Humboldt-Universit?t zu Berlin, Unter den Linden 6, 10099, Berlin, Germany
2. Department of Computational Science and Engineering, Yonsei University, Seoul, 120-749, Korea
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| Abstract: | This paper presents an optimal nonconforming adaptive finite element algorithm and proves its quasi-optimal complexity for the Stokes equations with respect to natural approximation classes. The proof does not explicitly involve the pressure variable and follows from a novel discrete Helmholtz decomposition of deviatoric functions. |
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