Mixed Methods for Two-Phase Darcy--Stokes Mixtures of Partially Melted Materials with Regions of Zero Porosity

DOI10.1137/16M1091095zbMath1383.76330OpenAlexW2601167827WikidataQ60058799 ScholiaQ60058799MaRDI QIDQ5738157

Todd Arbogast, Abraham L. Taicher, Marc Andre Hesse

Publication date: 31 May 2017

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1091095

zbMATH Keywords

mixed finite element methodenergy boundsdegenerate ellipticglaciersmantle dynamicsMidocean ridge

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Multiphase and multicomponent flows (76T99) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Degenerate elliptic equations (35J70) Finite element methods applied to problems in fluid mechanics (76M10) Geological problems (86A60)

Related Items (8)

A cell-centered finite difference method for a degenerate elliptic equation arising from two-phase mixtures ⋮ Robust Discretization of Flow in Fractured Porous Media ⋮ Modeling and a domain decomposition method with finite element discretization for coupled dual-porosity flow and Navier-Stokes flow ⋮ A hybridized discontinuous Galerkin method for a linear degenerate elliptic equation arising from two-phase mixtures ⋮ Well-Posedness and Discretization for a Class of Models for Mixed-Dimensional Problems with High-Dimensional Gap ⋮ Mixed Methods for Two-Phase Darcy--Stokes Mixtures of Partially Melted Materials with Regions of Zero Porosity ⋮ A Linear Degenerate Elliptic Equation Arising from Two-Phase Mixtures ⋮ Numerical analysis of one dimensional motion of magma without mass forces

Uses Software

• deal.ii

Cites Work

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