The formula for the truncation error in the energy product for conforming displacement finite elements is well known and a simple modification of this rule is proposed for nonconforming elements. It is also shown that two distinct types of error affect the convergence of the stress solutions, the se
On the convergence of the finite element method for problems with singularity
β Scribed by Tong Pin; Theodore H.H. Pian
- Publisher
- Elsevier Science
- Year
- 1973
- Tongue
- English
- Weight
- 578 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0020-7683
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Recently, several investigators have discussed both analyticallS7 and iterative approaches to determine optimal (minimum potential energy) grid co-ordinates for a given differential equation, boundary conditions and topological finite element arrangement of specific shape functions. In general, it i
This article is a continuation of the work [M. Feistauer et al., Num Methods PDEs 13 (1997), 163-190] devoted to the convergence analysis of an efficient numerical method for the solution of an initial-boundary value problem for a scalar nonlinear conservation law equation with a diffusion term. Non