FINITE ELEMENT METHOD FOR INCOMPRESSIBLE MISCIBLE DISPLACEMENT IN POROUS MEDIA  

作　　者：李潜 陈焕贞 

机构地区：[1]Shandong University, Jinan 250010, China [2]Shandong Teacher's University, Jinan 250014, China

出　　处：《Acta Mathematicae Applicatae Sinica》1993年第3期204-212,共9页应用数学学报（英文版）

摘　　要：Under the assumptions of nonlinear finite element and △t=o(h),Ewing and Wheeler discussed a Galerkin method for the single phase incompressible miscible displacement of one fluid by another in porous media.In the present paper we give a finite element scheme which weakens the △t=o(h)-restriction to △t=o(h~ε),0<ε≤1/2.Furthermore,this scheme is suitable for both linear element and nonlinear element.We also derive the optimal approximation estimates for concentration c,its gradient ▽c and the gradient ▽p of the pressure p.Under the assumptions of nonlinear finite element and △t=o(h),Ewing and Wheeler discussed a Galerkin method for the single phase incompressible miscible displacement of one fluid by another in porous media.In the present paper we give a finite element scheme which weakens the △t=o(h)-restriction to △t=o(h~ε),0<ε≤1/2.Furthermore,this scheme is suitable for both linear element and nonlinear element.We also derive the optimal approximation estimates for concentration c,its gradient ▽c and the gradient ▽p of the pressure p.

关 键 词：SHOW FINITE ELEMENT METHOD FOR INCOMPRESSIBLE MISCIBLE DISPLACEMENT IN POROUS MEDIA 

分 类 号：O1[理学—数学]