Approximate solutions of a partial differential equation become inaccurate if they are computed on a fixed grid that is not sufficiently fine in regions of the domain where the variables change rapidly. For time dependent problems, special features of a partial differential equation and their locati
Optimal adaptive grids of least-squares finite element methods in two spatial dimensions
β Scribed by Shin-Perng Chang; Tsu-Fen Chen
- Book ID
- 108076820
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 520 KB
- Volume
- 235
- Category
- Article
- ISSN
- 0377-0427
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## Abstract A leastβsquares mixed finite element method for linear elasticity, based on a stressβdisplacement formulation, is investigated in terms of computational efficiency. For the stress approximation quadratic RaviartβThomas elements are used and these are coupled with the quadratic nonconfor
A new "rst-order formulation for the two-dimensional elasticity equations is proposed by introducing additional variables which, called stresses here, are the derivatives of displacements. The resulted stress}displacement system can be further decomposed into two dependent subsystems, the stress sys