Downwind Gauß‐Seidel‐Smoothing for Convection‐Dominated Problems
Downwind Gauß‐Seidel‐Smoothing for Convection‐Dominated Problems
复制标题
针对对流主导问题的顺风高斯赛德尔平滑
DOI：
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发表时间：
1997
影响因子：
4.3
通讯作者：
Thomas Probst
中科院分区：
文献类型：
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作者：
W. Hackbusch;Thomas Probst
由于椭圆性的消失，求解对流占优问题的多重网格法往往失去了良好的收敛特性。通过适当的离散化、未知量的适当排序以及在必要时的特殊块划分，可以恢复Gauç-Seidel迭代的光滑性，从而获得良好的收敛。本文讨论了这样的排序策略和块划分。
Due to the vanishing ellipticity, multigrid methods for convection‐dominated problems tend to loose their good convergence properties. With a suited discretisation, an appropriate ordering of the unknowns and, if necessary, a special block partitioning, the smoothing property of the Gauß‐Seidel iteration and therefore good convergence can be regained. This paper deals with such an ordering strategy and block partitionings.