Multigrid methods for convection-diffusion problems discretized by a monotone scheme

被引：5
|
作者：
Bayramov, N. R. [1 ]
Kraus, J. K.
机构：
[1] Austrian Acad Sci, Johann Radon Inst Computat & Appl Math, Altenberger Str 69, A-4040 Linz, Austria
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2017年 / 317卷
基金：
奥地利科学基金会;
关键词：
Convection-diffusion equation; Exponential fitting scheme; AMLI-cycle multigrid; Variable-step preconditioning; Polynomial smoother; Faber polynomials; MULTILEVEL PRECONDITIONING METHODS; TCHEBYCHEV ITERATION; NONSYMMETRIC SYSTEMS; CONVERGENCE ANALYSIS; EQUATIONS;
D O I：
10.1016/j.cma.2017.01.004
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We study multigrid (MG) methods for the solution of systems of linear algebraic equations obtained from a stable discretization of convection-diffusion problems by an exponential fitting scheme. The latter ensures the stability of the simplest possible coarse grid operators obtained from Galerkin projections based on graph matching. Linear and nonlinear MG preconditioners are defined in the framework of algebraic multilevel iteration. The option of using polynomial smoothers is investigated in context of nonsymmetric problems and a systematic performance comparison is presented for various algorithms on a representative set of two-and three-dimensional test problems. (C) 2017 Elsevier B.V. All rights reserved.
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页码：723 / 745
页数：23
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