DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD FOR A FORWARD-BACKWARD HEAT EQUATION

Li Hong; Wei Xiaoxi

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DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD FOR A FORWARD-BACKWARD HEAT EQUATION

机译：向前-向后热方程的不连续Galerkin有限元方法

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摘要

A space-time finite element method, discontinuous in time but continuous in space, is studied to solve the nonlinear forward-backward heat equation. A linearized technique is introduced in order to obtain the error estimates of the approximate solutions. And the numerical simulations are given.

机译：研究了时空不连续，时空连续的时空有限元方法来求解非线性前后热方程。为了获得近似解的误差估计，引入了线性化技术。并给出了数值模拟。

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《Applied Mathematics. series B》 |2005年第1期|p.97-104|共8页
作者
Li Hong; Wei Xiaoxi;
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作者单位

College of Sciences and Technology, Inner Mongolia University, Huhhot 010021, China;

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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
space-time finite element method; linearized equation; error estimate;

机译：时空有限元法;线性化方程;误差估计;

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专利

1. DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD FOR A FORWARD-BACKWARD HEAT EQUATION [J] . LiHong, WeiXiaoxi 高校应用数学学报：英文版 . 2005,第001期

机译：向前-向后热方程的间断Galerkin有限元方法
2. Continuous, discontinuous and coupled discontinuous-continuous Galerkin finite element methods for the shallow water equations [J] . Dawson C, Westerink JJ, Feyen JC, International Journal for Numerical Methods in Fluids . 2006,第1期

机译：浅水方程组的连续，不连续和耦合不连续-连续Galerkin有限元方法
3. Non-linear petrov-galerkin methods for reduced order hyperbolic equations and discontinuous finite element methods [J] . Fang F., Pain C.C., Navon I.M., Journal of Computational Physics . 2013,第Null期

机译：降阶双曲方程的非线性petrov-galerkin方法和不连续有限元方法
4. Review of Discontinuous Galerkin Finite Element Methods for Partial Differential Equations on Complicated Domains [C] . Paola F. Antonietti, Andrea Cangiani, Joe Collis, LMS-EPSRC Symposium on building bridges . 2016

机译：复杂域偏微分方程的不连续Galerkin有限元方法综述
5. Discontinuous Galerkin Finite Element Methods for Maxwell's equations in dispersive and metamaterials media. [D] . Waters, Jiajia. 2013

机译：离散和超材料介质中麦克斯韦方程组的间断Galerkin有限元方法。
6. The Discontinuous Galerkin Finite Element Method for Solving the MEG and the Combined MEG/EEG Forward Problem [O] . Maria Carla Piastra, Andreas Nüßing, Johannes Vorwerk, 2018

机译：不连续伽勒金有限元方法求解MEG和MEG / EEG组合正向问题
7. Discontinuous Galerkin Finite Element Methods for a Forward-Backward Heat Equation [O] . Donald A. French 1998

机译：前后热方程的间断Galerkin有限元方法
8. Solving a Parabolic Equation by the Combined Discontinuous-Galerkin Petrov-Galerkin Finite Element Method [R] . Freund, J. 1990

机译：用petrov-Galerkin有限元方法求解抛物型方程

DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD FOR A FORWARD-BACKWARD HEAT EQUATION

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