## Abstract A least‐squares mixed finite element method for linear elasticity, based on a stress‐displacement formulation, is investigated in terms of computational efficiency. For the stress approximation quadratic Raviart‐Thomas elements are used and these are coupled with the quadratic nonconfor
Multigrid for the Galerkin least squares method in linear elasticity
✍ Scribed by Jaechil Yoo
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 210 KB
- Volume
- 286
- Category
- Article
- ISSN
- 0022-247X
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✦ Synopsis
In SIAM J
📜 SIMILAR VOLUMES
The purpose of this paper is to develop and analyze least-squares approximations for elasticity problems. The major advantage of the least-squares formulation is that it does not require that the classical Ladyzhenskaya±Bab uska±Brezzi (LBB) condition be satis®ed. By employing least-squares function
## Abstract The element‐free Galerkin method (EFG) and the natural element method (NEM) are two well known and widely used meshless methods. Whereas the EFG method can represent moving boundaries like cracks only by modifying the weighting functions the NEM requires an adaptation of the nodal set‐u
A new stress-pressure-displacement formulation for the planar elasticity equations is proposed by introducing the auxiliary variables, stresses, and pressure. The resulting first-order system involves a nonnegative parameter that measures the material compressibility for the elastic body. A two-stag