Volume 9, Issue 1
An Optimal-order Error Estimate for an H1-Galerkin Mixed Method for a Pressure Equation in Compressible Porous Medium Flow

H. Chen ,  Z. Zhou and H. Wang

Int. J. Numer. Anal. Mod., 9 (2012), pp. 132-148.

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  • Abstract

We present an H^1-Galerkin mixed finite element method for the solution of a nonlinear parabolic pressure equation, which arises in the mathematical models for describing a compressible fluid flow process in subsurface porous media. The method possesses the advantages of mixed finite element methods while avoiding directly inverting the permeability tensor, which is important especially in a low permeability zone. We conducted theoretical analysis to study the existence and uniqueness of the numerical solutions of the scheme and prove an optimal-order error estimate for the method. Numerical experiments are performed to justify the theoretical analysis.

  • History

Published online: 2012-09

  • AMS Subject Headings

65N15, 65N30

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