| Superconvergence and asymptotic expansions for linear finite element approximations on criss-cross mesh |
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| 基金项目： | 国家重点基础研究发展计划(973计划) |
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| 摘 要： | In this paper, we discuss the error estimation of the linear finite element solution on criss-cross mesh. Using space orthogonal decomposition techniques, we obtain an asymptotic expansion and superconvergence results of the finite element solution. We first prove that the asymptotic expansion has different forms on the two kinds of nodes and then derive a high accuracy combination formula of the approximate derivatives.
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Superconvergence and asymptotic expansions for linear finite element approximations on criss-cross mesh |
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| Authors: | HUANG Yunqing Shu Shi YU Haiyuan |
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| Abstract: | In this paper, we discuss the error estimation of the linear finite element solution on criss-cross mesh. Using space orthogonal decomposition techniques, we obtain an asymptotic expansion and superconvergence results of the finite element solution. We first prove that the asymptotic expansion has different forms on the two kinds of nodes and then derive a high accuracy combination formula of the approximate derivatives. |
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| Keywords: | criss-cross mesh linear finite element superconvergence |
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