Advanced Search

Query:

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

Format:

Display: entries per page entries

Zbl 1079.65116
Ye, Xiu
A new discontinuous finite volume method for elliptic problems. (English)
[J] SIAM J. Numer. Anal. 42, No. 3, 1062-1072 (2004). ISSN 0036-1429; ISSN 1095-7170/e

The author considers a new discontinuous finite volume method for second order linear elliptic boundary value problems. The method uses discontinuous piecewise polynomials in order to provide the trial function space. An optimal order error estimate is obtained in a discrete norm. The method seems to have important advantages such as a high order accuracy, parallelizability, localizability and the possibility to handle complex geometries.
[Calin Ioan Gheorghiu (Cluj-Napoca)]

MSC 2000:: *65N30 Finite numerical methods (BVP of PDE)
65N15 Error bounds (BVP of PDE)
35J25 Second order elliptic equations, boundary value problems

Keywords: finite element methods; discontinuous Galerkin method; finite volume methods; linear elliptic problems; error estimate

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]