Numerical reliability for mixed methods applied to flow problems in porous media

DOI10.1023/A:1019988901420zbMath1079.76581MaRDI QIDQ1851025

Yanyan Li

Publication date: 15 December 2002

Published in: Computational Geosciences (Search for Journal in Brave)

zbMATH Keywords

flow in porous mediasymbolic programmingmixed and mixed-hybrid methodselliptic/parabolic problemsfunctional stability

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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)

Related Items (12)

A mixed hybrid Mortar method for solving flow in discrete fracture networks ⋮ Mixed-hybrid and vertex-discontinuous-Galerkin finite element modeling of multiphase compositional flow on 3D unstructured grids ⋮ Convergence analysis of macro spreading in 3D heterogeneous porous media ⋮ The maximum principle violations of the mixed-hybrid finite-element method applied to diffusion equations ⋮ Linear Galerkin vs mixed finite element 2D flow fields ⋮ Mixed and nonconforming finite element methods on a system of polygons ⋮ Postprocessing of standard finite element velocity fields for accurate particle tracking applied to groundwater flow ⋮ On the finite volume reformulation of the mixed finite element method for elliptic and parabolic PDE on triangles. ⋮ The MAST-edge centred lumped scheme for the flow simulation in variably saturated heterogeneous porous media ⋮ Numerical simulation of contaminant biodegradation by higher order methods and adaptive time stepping ⋮ An efficient parallel mixed method for flow simulations in heterogeneous geological media ⋮ Equivalence between lowest-order mixed finite element and multi-point finite volume methods on simplicial meshes

Uses Software

• AQUARELS
• subplex
• mctoolbox

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