| 非线性抛物积分微分方程的各向异性有限元高精度分析 |
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| 引用本文： | 石东洋,张步英.非线性抛物积分微分方程的各向异性有限元高精度分析[J].应用数学,2008,21(3). |
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| 作者姓名： | 石东洋 张步英 |
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| 作者单位： | 郑州大学数学系,河南,郑州,450052 |
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| 摘 要： | 本文讨论非线性抛物积分微分方程的各向异性有限元方法.在不引入真解的H1-Volterra投影的情况下得到了半离散格式下的整体超收敛.
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| 关 键 词： | 非线性抛物积分微分方程 超收敛 插值后处理 Nonlinear parabolic integrodifferential equations Superconvergence Postprocessing operator 非线性 抛物积分微分方程 各向异性有限元 高精度分析 Integrodifferential Equations Parabolic Nonlinear Finite Element Method Anisotropic Accuracy Analysis projection solution problem global superconvergence scheme bilinear finite element approximation nonlinear integrodifferential equations anisotropic meshes |
High Accuracy Analysis of Anisotropic Finite Element Method for Nonlinear Parabolic Integrodifferential Equations |
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| SHI Dong-yang,ZHANG Bu-ying.High Accuracy Analysis of Anisotropic Finite Element Method for Nonlinear Parabolic Integrodifferential Equations[J].Mathematica Applicata,2008,21(3). |
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| Authors: | SHI Dong-yang ZHANG Bu-ying |
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| Abstract: | The supercloseness of the bilinear finite element approximation to nonlinear integrodifferential equations with anisotropic meshes is considered in this paper.The global superconvergence for semidiscrete scheme is proposed,without referring to H1-Volterra projection of the solution of the problem. |
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| Keywords: | Nonlinear parabolic integrodifferential equations Superconvergence Postprocessing operator |
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