Multiphysics discontinuous Galerkin method for a poroelasticity model

DOI10.1016/j.amc.2016.12.012zbMath1411.74055OpenAlexW2565339840MaRDI QIDQ1735241

Mengxia Ma, Zhihao Ge

Publication date: 28 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2016.12.012

zbMATH Keywords

inf-sup conditionStokes equationsoptimal ordermultiphysics discontinuous Galerkin methodporoelasticity model

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (4)

Multirate iterative scheme based on multiphysics discontinuous Galerkin method for a poroelasticity model ⋮ A decoupled finite element method with diferent time steps for the nonstationary Darcy-Brinkman problem ⋮ Flexible goal-oriented adaptivity for higher-order space-time discretizations of transport problems with coupled flow ⋮ A Robust Discontinuous Galerkin High-Order Finite Element Method for Elasticity Problems with Interfaces

Cites Work

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• A coupling of mixed and discontinuous Galerkin finite element methods for poroelasticity
• Discontinuous Galerkin methods for incompressible and nearly incompressible elasticity by Nitsche's method
• On some techniques for approximating boundary conditions in the finite element method
• Stabilized discontinuous finite element approximations for Stokes equations
• A coupling of mixed and continuous Galerkin finite element methods for poroelasticity. I: The continuous in time case
• A coupling of mixed and continuous Galerkin finite element methods for poroelasticity. II: The discrete-in-time case
• Fully Discrete Finite Element Approximations of a Polymer Gel Model
• Local Discontinuous Galerkin Methods for the Stokes System

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