๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Finite element eigenvalues for the laplacian over an L-shaped domain

โœ Scribed by B Schiff

Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
544 KB
Volume
76
Category
Article
ISSN
0021-9991

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Bounds to eigenvalues of the Laplacian o
Bounds to eigenvalues of the Laplacian on L-shaped domain by variational methods
โœ Quan Yuan; Zhiqing He ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 459 KB

In this study, the bounds for eigenvalues of the Laplacian operator on an L-shaped domain are determined. By adopting some special functions in Goerisch method for lower bounds and in traditional Rayleigh-Ritz method for upper bounds, very accurate bounds to eigenvalues for the problem are obtained.

An element formulation for the classical
An element formulation for the classical finite difference and finite volume method applied to arbitrarily shaped domains
โœ Andreas Lahrmann ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 990 KB

Potential problems can be solved by analytical methods. However, for three-dimensional structures of geometrically complex shape with non-linear boundary conditions, numerical methods have to be applied. The most popular technique is the finite element method, which is used throughout the engineerin

A posteriori error estimation for the du
A posteriori error estimation for the dual mixed finite element method for the p-Laplacian in a polygonal domain
โœ E. Creuse; M. Farhloul; L. Paquet ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 382 KB

For the discrete solution of the dual mixed formulation for the p-Laplace equation, we define two residues R and r. Then we bound the norm of the errors on the two unknowns in terms of the norms of these two residues. Afterwards, we bound the norms of these two residues by functions of two error est