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Volume 2, Issue 0
$L^2$-Norm Error Bounds of Characteristics Collocation Method for Compressible Miscible Displacement in Porous Media

N. Ma, D. Yang & T. Lu

Int. J. Numer. Anal. Mod., 2 (2005), pp. 28-42.

Published online: 2005-11

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  • 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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@Article{IJNAM-2-28, author = {N. Ma, D. Yang and T. Lu}, title = {$L^2$-Norm Error Bounds of Characteristics Collocation Method for Compressible Miscible Displacement in Porous Media}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2005}, volume = {2}, number = {0}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/945.html} }
TY - JOUR T1 - $L^2$-Norm Error Bounds of Characteristics Collocation Method for Compressible Miscible Displacement in Porous Media AU - N. Ma, D. Yang & T. Lu JO - International Journal of Numerical Analysis and Modeling VL - 0 SP - 28 EP - 42 PY - 2005 DA - 2005/11 SN - 2 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/945.html KW - AB -

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.

N. Ma, D. Yang and T. Lu. (2005). $L^2$-Norm Error Bounds of Characteristics Collocation Method for Compressible Miscible Displacement in Porous Media. International Journal of Numerical Analysis and Modeling. 2 (0). 28-42. doi:
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