含弥散核废料污染问题特征有限元方法

Abstract

Abstract:

We wii study teh finite element method for compressible flow of contamination from nuclear in porous media,in which both of molecular diffusion and dispersion are considered.The mathematical model is a coupled quasilinear syetem of parabolic equations about pressure,temperature,brine and radionuclide.Starting from teh primitive model ,finite element scheme based on teh method of characterristics is estabilishe and analysed.Some new estimates about elliptic projection are given,a modified tachnique is proposed to establish teh evolution inequlity for pressure error,the optimal error estimate in L∞ （J；H¹（Ω））is proved.

Key words: 　Ｃｏｍｐｒｅｓｓｉｂｌｅｆｌｏｗｏｆｃｏｎｔａｍｉｎａｔｉｏｎｆｒｏｍｎｕｃｌｅａｒｗａｓｔｅ, ＦＥＭ, Ｃｈａｒａｃｔｅｒｉｓ
ｔｉｃｓ, Ｍｏｌｅｃｕｌａｒｄｉｆｆｕｓｉｏｎａｎｄｄｉｓｐｅｒｓｉｏｎ, Ｃｏｎｖｅｒｇｅｎｃｅ．

CLC Number:

　６５Ｎ

Cheng Aijie Wang Gaohong. Fem with |teh Method of Characteristics for Compressible Flow of Contamination From Nuclear Waste in Porous Media[J].Acta mathematica scientia,Series A, 1999, 19(3): 278-285.

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References

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７　ＷｈｅｅｌｅｒＭＦ．ＡｐｒｉｏｒｉL₂ｅｒｒｏｒｅｓｔｉｍａｔｅｓｆｏｒＧａｌｅｒｋｉｎａｐｐｒｏｘｉｍａｔｉｏｎｓｔｏｐａｒａｂｏｌｉｃｐａｒｔｉａｌｄｉｆｆｅｒｅｎｔｉａｌｅｑｕａｔｉｏｎｓ．ＳＩＡＭＪＮｕｍｅｒＡｎａｌ，１９７３，１０：７２３－７５９
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Fem with |teh Method of Characteristics for Compressible Flow of Contamination From Nuclear Waste in Porous Media

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