@Article{IJNAM-9-132,
author = {H. Chen, Z. Zhou and H. Wang},
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 = {<p style="text-align: justify;">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.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/616.html}
}