Iterative splitting schemes for a soft material poromechanics model
DOI10.1016/j.cma.2021.114183OpenAlexW3206663839MaRDI QIDQ2060080
Paolo Zunino, Jakub Wiktor Both, Nicolás Barnafi, Florin Adrian Radu, Alfio M. Quarteroni
Publication date: 13 December 2021
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.13296
convergence analysisiterative splitting schemesfixed-stress splitporomechanics of soft materialsundrained split
Convex programming (90C25) Applications of mathematical programming (90C90) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items (4)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Block-preconditioned Newton-Krylov solvers for fully coupled flow and geomechanics
- General coupling of porous flows and hyperelastic formulations -- from thermodynamics principles to energy balance and compatible time schemes
- Robust fixed stress splitting for Biot's equations in heterogeneous media
- Stability and convergence of sequential methods for coupled flow and geomechanics: drained and undrained splits
- Automated solution of differential equations by the finite element method. The FEniCS book
- Convergence of iterative coupling for coupled flow and geomechanics
- Coupling Biot and Navier-Stokes equations for modelling fluid-poroelastic media interaction
- Cardiovascular mathematics. Modeling and simulation of the circulatory system
- A poroelastic model valid in large strains with applications to perfusion in cardiac modeling
- A general approach for modeling interacting flow through porous media under finite deformations
- Anderson accelerated fixed-stress splitting schemes for consolidation of unsaturated porous media
- Monolithic and splitting solution schemes for fully coupled quasi-static thermo-poroelasticity with nonlinear convective transport
- Uniformly well-posed hybridized discontinuous Galerkin/hybrid mixed discretizations for Biot's consolidation model
- Space-time finite element approximation of the Biot poroelasticity system with iterative coupling
- Trends in continuum mechanics of porous media.
- Block-partitioned solvers for coupled poromechanics: a unified framework
- Numerical analysis for an energy-stable total discretization of a poromechanics model with inf-sup stability
- Preconditioning discretizations of systems of partial differential equations
- On the Convergence of Alternating Minimization for Convex Programming with Applications to Iteratively Reweighted Least Squares and Decomposition Schemes
- Parameter-Robust Discretization and Preconditioning of Biot's Consolidation Model
- Anderson Acceleration for Fixed-Point Iterations
- Theory of Elasticity and Consolidation for a Porous Anisotropic Solid
- Parameter-robust Uzawa-type iterative methods for double saddle point problems arising in Biot’s consolidation and multiple-network poroelasticity models
- Unconditionally stable staggered solution procedure for soil-pore fluid interaction problems
- A Mixed Finite Element Method for Nearly Incompressible Multiple-Network Poroelasticity
- An efficient diagonal preconditioner for finite element solution of Biot's consolidation equations
- Robust Preconditioners for Perturbed Saddle-Point Problems and Conservative Discretizations of Biot's Equations Utilizing Total Pressure
- Parameter Robust Preconditioning by Congruence for Multiple-Network Poroelasticity
- Robust Block Preconditioners for Biot’s Model
- Parameter-Robust Convergence Analysis of Fixed-Stress Split Iterative Method for Multiple-Permeability Poroelasticity Systems
- Uniform preconditioners for the time dependent Stokes problem
- Computational mechanics of the heart.
This page was built for publication: Iterative splitting schemes for a soft material poromechanics model