Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1193.65161
Chen, Chuanjun; Liu, Wei
Two-grid finite volume element methods for semilinear parabolic problems. (English)
[J] Appl. Numer. Math. 60, No. 1-2, 10-18 (2010). ISSN 0168-9274

The present paper presents a finite volume element method (FVEM) based on two finite element spaces defined on a coarse and a fine grid, applied to a parabolic semilinear problem. An appealing feature is that nonsymmetric and nonlinear problems on a fine space could be regarded as solving a symmetric linear problem on the fine space, plus a nonsymmetric nonlinear problem on the coarse space. The wellposedness of the FVEM is assessed using the Carathéodory theorem, and optimal convergence rates are derived for the one-grid and the two-grid method. Finally, a numerical example illustrates the behavior of the error predicted by the provided theoretical findings.
[Ricardo Ruiz Baier (Lausanne)]

MSC 2000:: *65M08
65M60 Finite numerical methods (IVP of PDE)
65M12 Stability and convergence of numerical methods (IVP of PDE)
65M15 Error bounds (IVP of PDE)
65M55 Multigrid methods; domain decomposition (IVP of PDE)
35K55 Nonlinear parabolic equations

Keywords: vertex-centered finite volume; finite volume element method; error estimates; parabolic semilinear problem; convergence; two-grid method; numerical example

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

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

Advanced Search

Zentralblatt MATH Berlin [Germany]