๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Error estimates for rotated element approximation of the eigenvalue problem on anisotropic meshes

โœ Scribed by Dongyang Shi; Yucheng Peng; Shaochun Chen

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
523 KB
Volume
22
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

โœฆ Synopsis

The main object of this work is to study the approximate behavior of the nonconforming rotated Q rot 1 element for the second-order elliptic eigenvalue problem on anisotropic meshes. A special technique is employed to construct a function possessing the anisotropic property in rotated Q rot 1 space, which leads to the optimal errors of energy norm and L 2 norm for the second-order elliptic boundary problem. The above results are then applied to the error analysis of eigenpairs and the associated optimal errors are derived. Numerical results are provided to show the validity of the theoretical analysis.

๐Ÿ“œ SIMILAR VOLUMES

A posteriori error estimation for convec
A posteriori error estimation for convection dominated problems on anisotropic meshes
โœ Gerd Kunert ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 261 KB ๐Ÿ‘ 1 views

## Abstract A singularly perturbed convectionโ€“diffusion problem in two and three space dimensions is discretized using the streamline upwind Petrov Galerkin (SUPG) variant of the finite element method. The dominant convection frequently gives rise to solutions with layers; hence anisotropic finite

Error Estimates for the Boundary Element
Error Estimates for the Boundary Element Approximation of a Contact Problem in Elasticity
โœ W. Spann ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 298 KB ๐Ÿ‘ 2 views

## Dedicated to G. C. Hsiao on the occasion of his 60th birthday The two-dimensional frictionless contact problem of linear isotropic elasticity in the half-space is treated as a boundary variational inequality involving the Poincare-Steklov operator and discretized by linear boundary elements. Qua

Gradient recovery type a posteriori erro
Gradient recovery type a posteriori error estimates for finite element approximations on irregular meshes
โœ Ningning Yan; Aihui Zhou ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 125 KB

In this paper, the gradient recovery type a posteriori error estimators for ยฎnite element approximations are proposed for irregular meshes. Both the global and the local a posteriori error estimates are derived. Moreover, it is shown that the a posteriori error estimates is asymptotically exact on w