一维局部不连续伽勒金方法的冯·诺伊曼分析

Revista Integración Pub Date : 2019-08-30 DOI:10.18273/revint.v37n2-2019001

P. Castillo, S. Gómez

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引用次数: 0

摘要

利用冯·诺依曼分析作为理论工具，结合空间离散化、局部不连续伽辽金(LDG)和高阶近似，分析了几种显式时间推进方案的稳定性条件。研究了稳定常数CFL(Courant-Friedrichs-Lewy)作为dg参数和近似度的函数。通过一系列数值实验对理论结果进行了验证。

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Análisis de Von Neumann para el métodoLocal Discontinuous Galerkin en 1D

Using the von Neumann analysis as a theoretical tool, an analysisof the stability conditions of some explicit time marching schemes, in com-bination with the spatial discretizationLocal Discontinuous Galerkin(LDG)and high order approximations, is presented. The stabilityconstant, CFL(Courant-Friedrichs-Lewy), is studied as a function of theLDG parametersand the approximation degree. A series of numerical experiments is carriedout to validate the theoretical results.

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Revista Integración

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