A residual finite element formulation is developed in this paper to solve elastodynamic problems in which body wave potentials are primary unknowns. The formulation is based on minimizing the square of the residuals of governing equations as well as all boundary conditions. Since the boundary condit
A variational basis for error analysis in finite element elastodynamic problems
β Scribed by Somenath Mukherjee; P. Jafarali; Gangan Prathap
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 308 KB
- Volume
- 285
- Category
- Article
- ISSN
- 0022-460X
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π SIMILAR VOLUMES
## Abstract A mixed variational principle is developed and utilized in a finite element formulation. The procedure is mixed in the sense that it is based upon a combination of modified potential and complementary energy principles. Compatibility and equilibrium are satisfied throughout the domain _
Three alternative sets of hybrid formulations to solve linear elastodynamic problems by the \_nite element method are presented[ They are termed hybridΓmixed\ hybrid and hybridΓTre}tz and di}er essentially on the \_eld conditions that the approximation functions are constrained to satisfy locally[ T