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	Moving mesh discontinuous Galerkin method for hyperbolic conservation laws
	Li, R ; Tang, T
	2006
关键词	moving mesh method discontinuous Galerkin method nonlinear conservation laws monitor function ADAPTIVE-GRID GENERATION FINITE-ELEMENT-METHOD HARMONIC MAPS DIMENSIONS EQUATIONS PDES
英文摘要	In this paper, a moving mesh discontinuous Galerkin (DG) method is developed to solve the nonlinear conservation laws. In the mesh adaptation part, two issues have received much attention. One is about the construction of the monitor function which is used to guide the mesh redistribution. In this study, a heuristic posteriori error estimator is used in constructing the monitor function. The second issue is concerned with the solution interpolation which is used to interpolates the numerical solution from the old mesh to the updated mesh. This is done by using a scheme that mimics the DG method for linear conservation laws. Appropriate limiters are used on seriously distorted meshes generated by the moving mesh approach to suppress the numerical oscillations. Numerical results are provided to show the efficiency of the proposed moving mesh DG method.; Mathematics, Applied; SCI(E); EI; CPCI-S(ISTP); 7
语种	英语
出处	SCI ; EI
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/252099]
专题	数学科学学院
推荐引用方式 GB/T 7714	Li, R,Tang, T. Moving mesh discontinuous Galerkin method for hyperbolic conservation laws. 2006-01-01.

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