## Abstract We propose a mixed formulation for quasiβNewtonian fluid flow obeying the power law where the stress tensor is introduced as a new variable. Based on such a formulation, a mixed finite element is constructed and analyzed. This finite element method possesses local (i.e., at element leve
Numerical analysis of a mixed finite element method for a flow-transport problem
β Scribed by S.-H. Chou; Q. Li
- Publisher
- John Wiley and Sons
- Year
- 1996
- Tongue
- English
- Weight
- 502 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0749-159X
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β¦ Synopsis
We consider a generic flow-transport system of partial differential equations, which has wide application in the waste disposal industry. The approximation of this system, using a finite element method for the brine, radionuclides, and heat combined with a mixed finite element method for the pressure and velocity, is analyzed. Optimal order error estimates in H' and L2 are derived. The error analysis is given with no restriction on the diffusion tensor. That is, we have included the effects of molecular diffusion and dispersion. 0 1996 John Wiley & Sons, Inc.
π SIMILAR VOLUMES
## Abstract We consider a Maxwellβeigenvalue problem on a brick. As is well known, we need to pay special attention to avoiding the soβcalled spurious eigenmodes. We extend the results obtained in (__SIAM J. Numer. Anal.__ 2000; **38**:580β607) to include the use of numerical quadrature. For simpli
## Abstract In Loula and Zhou [Comput Appl Math 20 (2001), 321β339], a thermally coupled nonlinear elliptic system modeling a large class of engineering problems was considered, and some mathematical and numerical analyses (__C__^0^ Lagrangian finite elements combined with a fixed point algorithm)