@Article{IJNAM-9-1, author = {}, title = {An Optimal-Order Error Estimate for an $H^1$-Galerkin Mixed Method for a Pressure Equation in Compressible Porous Medium Flow}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2012}, volume = {9}, number = {1}, pages = {132--148}, 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.

}, issn = {2617-8710}, doi = {https://doi.org/2012-IJNAM-616}, url = {https://global-sci.com/article/83457/an-optimal-order-error-estimate-for-an-h1-galerkin-mixed-method-for-a-pressure-equation-in-compressible-porous-medium-flow} }