Superconvergence analysis of FEMs for the Stokes–Darcy system |
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| Authors: | Wenbin Chen Puying Chen Max Gunzburger Ningning Yan |
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| Institution: | 1. School of Mathematical Sciences, Fudan University, Shanghai 200433, People's Republic of China;2. Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, People's Republic of China;3. Department of Scientific Computing, Florida State University, Tallahassee, FL 32306‐4120, U.S.A.;4. LSEC, Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, People's Republic of China |
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| Abstract: | We consider a superconvergence analysis for quadratic finite element approximations of the Stokes–Darcy system. The superclose property of an extra half order is proven for uniform triangular meshes. Based on the result of the superclose property, global superconvergence is derived by applying a postprocessing technique. In addition, some numerical examples are presented to demonstrate our theoretical results. Copyright © 2010 John Wiley & Sons, Ltd. |
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| Keywords: | Stokes and Darcy equations superconvergence Hood– Taylor element |
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