CONVERGENT FINITE ELEMENT DISCRETIZATIONS OF THE NONSTATIONARY INCOMPRESSIBLE MAGNETOHYDRODYNAMICS SYSTEM

被引：125

作者：

Prohl, Andreas ^{[1
]}

机构：

[1] Univ Tubingen, Math Inst, D-72076 Tubingen, Germany

来源：

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 2008年 / 42卷 / 06期

关键词：

Magneto-hydrodynamics; discretization; FEM; fixed-point scheme; splitting-method;

D O I：

10.1051/m2an:2008034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The incompressible MHD equations couple Navier-Stokes equations with Maxwell's equations to describe the flow of a viscous, incompressible, and electrically conducting fluid in a Lipschitz domain Omega subset of R-3. We verify convergence of iterates of different coupling and decoupling fully discrete schemes towards weak solutions for vanishing discretization parameters. Optimal first order of convergence is shown in the presence of strong solutions for a splitting scheme which decouples the computation of velocity field, pressure, and magnetic fields at every iteration step.

引用

页码：1065 / 1087

页数：23

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