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.