A MIXED FINITE ELEMENT APPROXIMATION FOR COMPRESSIBLE FLOW OF CONTAMINATION FROM NUCLEAR WASTE IN POROUS MEDIA

Acta mathematica scientia,Series B ›› 1998, Vol. 18 ›› Issue (2): 146-157.

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A MIXED FINITE ELEMENT APPROXIMATION FOR COMPRESSIBLE FLOW OF CONTAMINATION FROM NUCLEAR WASTE IN POROUS MEDIA

Chou S. H¹, Li Qian²

1. Department of Mathemetics and Statistics, Bowling Green State University, Bowling Green, Ohio 43402-0221, USA;
2. Department of Mathemetics, Shandong Normal University, Jinan 250014, China

Received:1996-03-15 Revised:1996-10-30 Online:1998-06-25 Published:1998-06-25

Abstract

Abstract: 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 H¹ and L² 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.

Key words: Mixed finite element, compressible, nuclear waste

Chou S. H, Li Qian. A MIXED FINITE ELEMENT APPROXIMATION FOR COMPRESSIBLE FLOW OF CONTAMINATION FROM NUCLEAR WASTE IN POROUS MEDIA[J].Acta mathematica scientia,Series B, 1998, 18(2): 146-157.

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A MIXED FINITE ELEMENT APPROXIMATION FOR COMPRESSIBLE FLOW OF CONTAMINATION FROM NUCLEAR WASTE IN POROUS MEDIA

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