Spatial stability for the monolithic and sequential methods with various space discretizations in poroelasticity
DOI10.1002/NME.5762zbMATH Open1548.74931MaRDI QIDQ6569277
Publication date: 8 July 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) 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)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Stability and convergence of sequential methods for coupled flow and geomechanics: fixed-stress and fixed-strain splits
- Stability and convergence of sequential methods for coupled flow and geomechanics: drained and undrained splits
- Convergence of iterative coupling for coupled flow and geomechanics
- On the convergence factor of Uzawa's algorithm
- Improved accuracy in finite element analysis of Biot's consolidation problem
- An introduction to multipoint flux approximations for quadrilateral grids
- Formulation and finite element implementation of a multiplicative model of coupled poro-plasticity at finite strains under fully saturated conditions
- Stabilized mixed finite element formulations for materially nonlinear partially saturated two-phase media
- Block-partitioned solvers for coupled poromechanics: a unified framework
- General theory of three-dimensional consolidation.
- Stabilized mixed finite elements for deformable porous media with double porosity
- Stabilized low-order finite elements for coupled solid-deformation/fluid-diffusion and their application to fault zone transients
- A Galerkin/least-squares finite element formulation for consolidation
- Stable cell-centered finite volume discretization for Biot equations
- Formulation and sequential numerical algorithms of coupled fluid/heat flow and geomechanics for multiple porosity materials
- A stabilized finite element formulation for monolithic thermo-hydro-mechanical simulations at finite strain
- The existence and uniqueness theorem in Biot's consolidation theory
- DISPLACEMENT FUNCTIONS AND LINEAR TRANSFORMS APPLIED TO DIFFUSION THROUGH POROUS ELASTIC MEDIA
- An accuracy condition for consolidation by finite elements
- Mixed and Hybrid Finite Element Methods
- Finite element modelling of three‐phase flow in deforming saturated oil reservoirs
- On stability and convergence of finite element approximations of Biot's consolidation problem
- Inexact and Preconditioned Uzawa Algorithms for Saddle Point Problems
- Reservoir Geomechanics
- PLANE STRAIN AND AXIALLY SYMMETRIC PROBLEMS OF THE CONSOLIDATION OF A SEMI-INFINITE CLAY STRATUM
Related Items (2)
This page was built for publication: Spatial stability for the monolithic and sequential methods with various space discretizations in poroelasticity
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6569277)