The least-squares mixed ®nite element method is concisely described and supporting error estimates and computational results for linear elliptic (steady diffusion) problems are brie¯y summarized. The extension to the stationary Navier±Stokes problems for Newtonian, generalized Newtonian and viscoela
Parallel conjugate gradient performance for least-squares finite elements and transport problems
✍ Scribed by G. F. Carey; Y. Shen; R. T. McLay
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 197 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0271-2091
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✦ Synopsis
In this study we consider parallel conjugate gradient solution of sparse systems arising from the least-squares mixed finite element method. Of particular interest are transport problems involving convection. The least-squares approach leads to a symmetric positive system and the conjugate gradient scheme is directly applicable. The scheme is applied to both the convection -diffusion equation and to the stationary Navier-Stokes equations. Here we demonstrate parallel solution and performance studies for a representative MIMD parallel computer with hypercube architecture.
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