$L^2$-Norm Error Bounds of Characteristics Collocation Method for Compressible Miscible Displacement in Porous Media
Year: 2005
International Journal of Numerical Analysis and Modeling, Vol. 2 (2005), Online First : pp. 28–42
Abstract
A nonlinear parabolic system is derived to describe compressible miscible displacement in a porous medium in non-periodic space. The concentration is treated by a characteristics collocation method, while the pressure is treated by a finite element collocation method. Optimal order estimates in $L^2$ is derived.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2005-IJNAM-945
International Journal of Numerical Analysis and Modeling, Vol. 2 (2005), Online First : pp. 28–42
Published online: 2005-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 15