The expanded upwind-mixed method on changing meshes for positive semi-definite problem of two-phase miscible flow

DOI10.1080/00207160701478680zbMath1141.76040OpenAlexW2152454349MaRDI QIDQ3518558

Gongjie Liu, Huailing Song, Yi-Rang Yuan

Publication date: 8 August 2008

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160701478680

zbMATH Keywords

error estimatemixed finite element methodadaptive finite element method

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Multiphase and multicomponent flows (76T99) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Cites Work

• Adaptive Finite Element Methods for Parabolic Problems I: A Linear Model Problem
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• Moving Finite Elements. I
• Moving Finite Elements. II
• Analysis of Some Moving Space-Time Finite Element Methods
• Mixed Finite Elements for Elliptic Problems with Tensor Coefficients as Cell-Centered Finite Differences
• Solution of Parabolic Equations by Backward Euler-Mixed Finite Element Methods on a Dynamically Changing Mesh