Simple Search

Query:

Enter a query and click »Search«...

Format:

Display: entries per page entries

Zbl 1149.76029
Prohl, Andreas
Convergent finite element discretizations of the nonstationary incompressible magnetohydrodynamics system. (English)
[J] ESAIM, Math. Model. Numer. Anal. 42, No. 6, 1065-1087 (2008). ISSN 0764-583X; ISSN 1290-3841/e

Summary: The incompressible MHD equations couple Navier-Stokes equations with Maxwell equations to describe the flow of a viscous incompressible electrically conducting fluid in a Lipschitz domain $\Omega \subset \Bbb {R} ^3$. 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.

MSC 2000:: *76M10 Finite element methods
76W05 Flows in presence of electromagnetic forces
65M60 Finite numerical methods (IVP of PDE)
65M12 Stability and convergence of numerical methods (IVP of PDE)

Keywords: fixed point scheme; splitting method; weak solutions

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Article Journal Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Simple Search

Zentralblatt MATH Berlin [Germany]