Finite element method for multi-dimensional hyperbolic systems of conservation laws

机译：守恒律的多维双曲系统的有限元方法

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摘要

We present a new finite element method approximating weak solutions to multidimensional hyperbolic systems of conservation laws. L~p strong convergence to entropy solutions is proved for scalar equations. Second order optimal error estimates are proved for smooth solutions to scalar equations.

机译：我们提出了一种新的有限元方法，该方法逼近了守恒定律的多维双曲系统的弱解。证明了标量方程具有熵收敛性。对于标量方程的平滑解，证明了二阶最优误差估计。

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来源
《The Fifth China-Japan Joint Seminar on Numerical Mathematics Aug 21-25, 2002 Shanghai, China》|2002年|p.107-116|共10页
会议地点 Shanghai(CN)
作者
Lung-an Ying;
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作者单位

School of Mathematical Sciences Peking University, Beijing 100871, P.R.China;

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会议组织
原文格式 PDF
正文语种 eng
中图分类数学;
关键词
finite element method; hyperbolic systems; conservation laws; convergence;

机译：有限元法；双曲系统；守恒律；收敛;

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机译：多维保护法双曲线系统的任意顺序DG-DGLM方法
4. Finite element method for multi-dimensional hyperbolic system of conservation laws [C] . Lung-an Ying China-Japan Seminar on Numerical Mathematics . 2002

机译：保护法多维双曲系统的有限元方法
5. Numerical solutions of hyperbolic conservation laws: Incorporating multi-resolution viscosity methods into the finite element framework. [D] . Calhoun-Lopez, Marcus. 2003

机译：双曲守恒律的数值解：将多分辨率黏度方法纳入有限元框架。
6. Discontinuous Galerkin methods for nonlinear scalar hyperbolic conservation laws: divided difference estimates and accuracy enhancement [O] . Xiong Meng, Jennifer K. Ryan -1

机译：非线性标量双曲守恒定律的不连续Galerkin方法：差分估计和精度提高
7. Numerical solutions of hyperbolic conservation laws: incorporating multi-resolution viscosity methods into the finite element framework [O] . Calhoun-Lopez, Marcus 2003

机译：双曲守恒律的数值解：将多分辨率黏度方法纳入有限元框架
8. Convergence of a Finite Element Method for a Nonlinear Hyperbolic Conservation Law [R] . Johnson, C., Szepessy, A. 1985

机译：非线性双曲型守恒律的有限元方法的收敛性

Finite element method for multi-dimensional hyperbolic systems of conservation laws

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