A compressible nuclear waste disposal contamination in porous media. is modeled by a coupled system of partial differential equations. The approximation of this system using a finite element method for the brine, radi...A compressible nuclear waste disposal contamination in porous media. is modeled by a coupled system of partial differential equations. 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 are analyzed. Optimal order error estimates in H-1 and L-2 are derived. This paper improves upon previously derived estimates in two aspects. Firstly, the error analysis is given with no restriction on the diffusion tensors. That is, it has included the effects of molecular diffusion and dispersion. Secondly, the 'complete compressibility' case is considered.展开更多
We consider a nonlinear parabolic system describing compressible miscible displacement in a porous medium[4]. Continuous time and discrete time Galerkin methods are introduced to approximate the solution, and optimal ...We consider a nonlinear parabolic system describing compressible miscible displacement in a porous medium[4]. Continuous time and discrete time Galerkin methods are introduced to approximate the solution, and optimal H1-error estimates are obtained. This paper improves upon previously derived estimates in two aspects. Firstly, error estimates are given with no restrictions on the diffusion tensor. That is, we have included the effects of molecular diffusion and dispersion. Secondly, the complete compressible case is considered in the error analysis.展开更多
文摘A compressible nuclear waste disposal contamination in porous media. is modeled by a coupled system of partial differential equations. 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 are analyzed. Optimal order error estimates in H-1 and L-2 are derived. This paper improves upon previously derived estimates in two aspects. Firstly, the error analysis is given with no restriction on the diffusion tensors. That is, it has included the effects of molecular diffusion and dispersion. Secondly, the 'complete compressibility' case is considered.
文摘We consider a nonlinear parabolic system describing compressible miscible displacement in a porous medium[4]. Continuous time and discrete time Galerkin methods are introduced to approximate the solution, and optimal H1-error estimates are obtained. This paper improves upon previously derived estimates in two aspects. Firstly, error estimates are given with no restrictions on the diffusion tensor. That is, we have included the effects of molecular diffusion and dispersion. Secondly, the complete compressible case is considered in the error analysis.