Galerkin finite element method for generalized Forchheimer equation of slightly compressible fluids in porous media

DOI10.1002/mma.4310zbMath1368.76036arXiv1508.00294OpenAlexW2963908582MaRDI QIDQ4977857

Thinh Tri Kieu

Publication date: 17 August 2017

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.00294

zbMATH Keywords

error analysisporous medianumerical analysisnonlinear degenerate parabolic equationsGalerkin finite elementgeneralized Forchheimer equationsimmersible flow

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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)

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