| 对流占优微分积分方程的间断时空有限元法 |
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| 引用本文： | 张宏伟,戴新建.对流占优微分积分方程的间断时空有限元法[J].东莞理工学院学报,2008,15(5):20-25. |
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| 作者姓名： | 张宏伟 戴新建 |
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| 作者单位： | 长沙理工大学,数学与计算科学学院,湖南长沙,410076 |
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| 摘 要： | 采用Galerkin间断时空有限元法来处理对流占优微分积分方程，在时间离散区间内，利用Radau点处Lagrange插值多项式的特点，去掉间断时空有限元证明过程中对时空网格的限制条件，并给出了时间最大模、空间L2模。
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| 关 键 词： | 对流占优微分积分方程 间断时空有限元 误差估计 |
The Space-Time Discontinuous Finite Element Method for Convection-Dominated Parabolic Integrodifferential Equation |
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| ZHANG Hong-wei,DAI Xin-jian.The Space-Time Discontinuous Finite Element Method for Convection-Dominated Parabolic Integrodifferential Equation[J].Journal of Dongguan Institute of Technology,2008,15(5):20-25. |
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| Authors: | ZHANG Hong-wei DAI Xin-jian |
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| Institution: | ZHANG Hong-wei DAI Xin-Jian (School of Mathematical , Computing Science,Changsha University of Science & Teclmology,Changsha 410075,China) |
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| Abstract: | In this article,the Galerkin Space-Time Discontinuous Finite Element Method is chosen to process convection-dominated parabolic integrodiffercntial equations.At discrete intervals of time,we make use of the properties of Lagrange Interpolating polynomials at Radau spot to eliminate the restriction condition of Space-Time meshes of conventional space-time discontinuous Glerkin methods,and obtain the maximum-norm in time and the L -norm in space. |
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| Keywords: | convection-dominated parabolic integrodifferential equations space-time discontinuous finite element method error estimate |
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