Wavelets and adaptive grids for the discontinuous Galerkin method

被引：20

作者：

Díaz Calle, JL

Devloo, PRB

Gomes, SM

机构：

[1] Commodity Syst, BR-04615005 Sao Paulo, Brazil

[2] Univ Estadual Campinas, FEC, BR-13084971 Campinas, SP, Brazil

[3] Univ Estadual Campinas, IMECC, BR-13085970 Campinas, SP, Brazil

来源：

NUMERICAL ALGORITHMS | 2005年 / 39卷 / 1-3期

关键词：

conservation laws; discontinuous Galerkin; implicit time integration; upwind artificial diffusion; adaptivity; wavelets;

D O I：

10.1007/s11075-004-3626-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, space adaptivity is introduced to control the error in the numerical solution of hyperbolic systems of conservation laws. The reference numerical scheme is a new version of the discontinuous Galerkin method, which uses an implicit diffusive term in the direction of the streamlines, for stability purposes. The decision whether to refine or to unrefine the grid in a certain location is taken according to the magnitude of wavelet coefficients, which are indicators of local smoothness of the numerical solution. Numerical solutions of the nonlinear Euler equations illustrate the efficiency of the method.

引用

页码：143 / 154

页数：12

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