๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Asymptotic finite element method for boundary value problems

โœ Scribed by Pinchas Bar-Yoseph; Moshe Israeli


Publisher
John Wiley and Sons
Year
1986
Tongue
English
Weight
720 KB
Volume
6
Category
Article
ISSN
0271-2091

No coin nor oath required. For personal study only.

โœฆ Synopsis


The Asymptotic Finite Element method for improvement of standard finite element solutions of perturbation equations by the addition of asymptotic corrections to the right hand side terms is presented. It is applied here to 1-D and 2-D diffusion-convection equations and to non-linear similarity equations. Excellent results were obtained without the a priori use of special trial and test functions. Theoretical expectations were confirmed.


๐Ÿ“œ SIMILAR VOLUMES


Hybrid Spectral Element/Asymptotic Metho
โœ U. Zrahia; S.A. Orszag; M. Israeli ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 656 KB

An efficient high-order approach to multi-dimensional problems with boundary or interior layers is presented. It combines a coarse grid penaltyspectral element method with a local one-dimensional asymptotic approximation. The solution so obtained is improved by numerical manipulations on the same co

A higher-order accurate Petrov-Galerkin
โœ MacKinnon, R. J. ;Johnson, R. W. ;Langerman, M. A. ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Wiley (John Wiley & Sons) ๐ŸŒ English โš– 311 KB ๐Ÿ‘ 2 views

We formulate a higher-order (superconvergent) Petrov-Galerkin method by determining, using a finitedifference approximation, the optimal selection of quadratic and cubic modifications to the standard linear test function for bilinear elements. Application of this method to linear elliptic problems r