Advanced Search

Query:

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

Format:

Display: entries per page entries

Zbl 0964.78017
Chen, Zhiming; Du, Qiang; Zou, Jun
Finite element methods with matching and nonmatching meshes for Maxwell equations with discontinuous coefficients. (English)
[J] SIAM J. Numer. Anal. 37, No.5, 1542-1570 (2000). ISSN 0036-1429; ISSN 1095-7170/e

The authors consider finite element methods for the solution of Maxwell's equations in piecewise continuous media. They develop error estimates, and discuss both matching and non-matching meshes on the interface between the media. A variational formulation is given. During the course of the analysis a Lagrangian multiplier is introduced in association with the charge divergence equation $\nabla.D= \rho$. The tone of the paper is extremely abstract, much use being made of abstract spaces and there is no actual problem solved as an illustration of the methods discussed.
[Ll.G.Chambers (Bangor)]

MSC 2000:: *78M10 Finite element methods (optics)
78A25 General electromagnetic theory
35Q60 PDE of electromagnetic theory and optics
46E35 Sobolev spaces and generalizations

Keywords: finite element method; Maxwell equations; interface problems; nonmatching meshes; error estimates; saddle point formulation; extension theorem; finite element methods; Maxwell's equations; piecewise continuous media; matching; non-matching meshes; variational formulation; Lagrangian multiplier; charge divergence equation

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]