An error estimator for a finite volume discretization of density driven flow in porous media

DOI10.1016/S0168-9274(97)00084-6zbMath0897.76069OpenAlexW2042275640WikidataQ127306388 ScholiaQ127306388MaRDI QIDQ1379040

Kathrin Thiele, Peter Knabner, Lutz Angermann

Publication date: 9 February 1998

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(97)00084-6

zbMATH Keywords

initial value problemsa posteriori error estimationpseudo-parabolic problems

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items

Local adaptive methods for convection dominated problems, A posteriori error estimates for FEM with violated Galerkin orthogonality, Residual flux-based a posteriori error estimates for finite volume and related locally conservative methods, An a posteriori error estimate for vertex-centered finite volume discretizations of immiscible incompressible two-phase flow

Cites Work

• The finite element method for parabolic equations. II. A posteriori error estimation and adaptive approach
• Convergence analysis of an approximation of miscible displacement in porous media by mixed finite elements and a modified method of characteristics
• Negative Norm Estimates and Superconvergence in Galerkin Methods for Parabolic Problems
• An a posteriori estimation for the solution of elliptic boundary value problems by means of upwind FEM
• Error Estimates for Adaptive Finite Element Computations
• A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations
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