Finite element method for a nonsmooth elliptic equation |
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| Authors: | Lili Chang Wei Gong Ningning Yan |
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| Institution: | 1.State Key Laboratory of Scientific and Engineering Computing, Institute of Systems Science, Academy of Mathematics and System Sciences,Chinese Academy of Sciences,Beijing,China;2.State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics, Academy of Mathematics and System Sciences,Chinese Academy of Sciences,Beijing,China |
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| Abstract: | In this paper, we study the finite element method for a non-smooth elliptic equation. Error analysis is presented, including
a priori and a posteriori error estimates as well as superconvergence analysis. We also propose two algorithms for solving
the underlying equation. Numerical experiments are employed to confirm our error estimations and the efficiency of our algorithms. |
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