Space-time finite element approximation of the Biot poroelasticity system with iterative coupling
DOI10.1016/j.cma.2017.03.017zbMath1439.74389arXiv1611.06335OpenAlexW2554356339MaRDI QIDQ2309868
Markus Bause, Uwe Köcher, Florin Adrian Radu
Publication date: 6 April 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1611.06335
variational time discretizationdeformable porous mediaspace-time finite element methodsfixed-stress iterative coupling
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 initial value and initial-boundary value problems involving PDEs (65M60)
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Cites Work
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- The \texttt{deal.II} library, version 8.4
- Variational space-time methods for the wave equation
- Robust fixed stress splitting for Biot's equations in heterogeneous media
- Discontinuous Galerkin time stepping with local projection stabilization for transient convection-diffusion-reaction problems
- Stability and convergence of sequential methods for coupled flow and geomechanics: drained and undrained splits
- Numerical convergence study of iterative coupling for coupled flow and geomechanics
- A fully-coupled discontinuous Galerkin method for two-phase flow in porous media with discontinuous capillary pressure
- Overcoming the problem of locking in linear elasticity and poroelasticity: an heuristic approach
- A coupling of mixed and discontinuous Galerkin finite element methods for poroelasticity
- Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. II. Transl. from the German by Boris Plamenevskii
- Diffusion in poro-elastic media
- A study on iterative methods for solving Richards' equation
- Scalable algorithms for three-field mixed finite element coupled poromechanics
- Mixed finite elements for the Richards' equation: linearization procedure
- Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I
- Convergence analysis of multirate fixed-stress split iterative schemes for coupling flow with geomechanics
- Higher-order discontinuous Galerkin time stepping and local projection stabilization techniques for the transient Stokes problem
- A robust linearization scheme for finite volume based discretizations for simulation of two-phase flow in porous media
- Variational time discretization for mixed finite element approximations of nonstationary diffusion problems
- Block-partitioned solvers for coupled poromechanics: a unified framework
- Stability and monotonicity for some discretizations of the Biot's consolidation model
- A coupling of mixed and continuous Galerkin finite element methods for poroelasticity. I: The continuous in time case
- Stable Cell-Centered Finite Volume Discretization for Biot Equations
- Discontinuous Galerkin method in time combined with a stabilized finite element method in space for linear first-order PDEs
- Higher Order Galerkin Time Discretization for Nonstationary Incompressible Flow
- Theory of the dynamic Biot-Allard equations and their link to the quasi-static Biot system
- Diffusion in poro-plastic media
- Iterative Coupling of Variational Space-Time Methods for Biot’s System of Poroelasticity
- A Note on Accurate and Efficient Higher Order Galerkin Time Stepping Schemes for the Nonstationary Stokes Equations
- Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
- A-stable discontinuous Galerkin–Petrov time discretization of higher order
- A Space-Time Finite Element Method for the Nonlinear Schrödinger Equation: The Continuous Galerkin Method
- On the discontinuous Galerkin method for the numerical solution of compressible high-speed flow
- Galerkin Finite Element Methods for Parabolic Problems
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