FDM and FEM solutions to linear dynamics of porous media: stabilised, monolithic and fractional schemes
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Publication:6561158
DOI10.1002/nme.5231zbMATH Open1548.76144MaRDI QIDQ6561158
Yunpeng Zhang, Ling Li, Dorival M. Pedroso
Publication date: 24 June 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite element methods applied to problems in fluid mechanics (76M10)
Cites Work
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- Dynamic wave propagation in infinite saturated porous media half spaces
- Finite-difference analysis of fully dynamic problems for saturated porous media
- Implicit dynamic three-dimensional finite element analysis of an inelastic biphasic mixture at finite strain. I: application to a simple geomaterial
- 1D wave propagation in saturated viscous geomaterials: improvement and validation of a fractional step Taylor-Galerkin finite element algorithm
- A fully coupled 3-D mixed finite element model of Biot consolidation
- Incompressible porous media models by use of the theory of mixtures
- Compressible porous media models by use of the theory of mixtures
- An unconditionally stable staggered algorithm for transient finite element analysis of coupled thermoelastic problems
- A numerical method for solving incompressible viscous flow problems. Reprint
- An iterative stabilized fractional step algorithm for finite element analysis in saturated soil dynamics.
- A new stabilized enhanced strain element with equal order of interpolation for soil consolidation problems.
- Dynamic fundamental solutions for compressible and incompressible modeled poroelastic continua
- A solution to transient seepage in unsaturated porous media
- One-dimensional transient wave propagation in fluid-saturated incompressible porous media
- A comparative study of Biot's theory and the linear theory of porous media for wave propagation
- Stabilized low-order finite elements for failure and localization problems in undrained soils and foundations
- Dynamics of porous media at finite strain
- General theory of three-dimensional consolidation.
- Consolidation settlement under a rectangular load distribution.
- Stabilized low-order finite elements for coupled solid-deformation/fluid-diffusion and their application to fault zone transients
- Thermo‐hydro‐mechanical analysis of partially saturated porous materials
- An iterative pressure-stabilized fractional step algorithm in saturated soil dynamics
- Assessment of acceleration modelling for fluid-filled porous media subjected to dynamic loading
- Numerical modelling of dynamic consolidation on granular soils
- A space-time multiscale method for computing statistical moments in strongly heterogeneous poroelastic media of evolving scales
- Formulation and sequential numerical algorithms of coupled fluid/heat flow and geomechanics for multiple porosity materials
- Stability analysis of finite difference schemes revisited: A study of decoupled solution strategies for coupled multifield problems
- A consistent u-p formulation for porous media with hysteresis
- Finite element modelling of saturated porous media at finite strains under dynamic conditions with compressible constituents
- Dynamic behaviour of saturated porous media; The generalized Biot formulation and its numerical solution
- The inf-sup test
- Solving Ordinary Differential Equations I
- Implicit Alternating Direction Methods
- Comparison of monolithic and splitting solution schemes for dynamic porous media problems
- Unconditionally stable staggered solution procedure for soil-pore fluid interaction problems
- Incompressibility without tears—HOW to avoid restrictions of mixed formulation
- New unconditionally stable staggered solution procedures for coupled soil-pore fluid dynamic problems
- Von Neumann stability analysis of Biot's general two-dimensional theory of consolidation
- Coupled problems—A simple time‐stepping procedure
- Static and dynamic behaviour of soils : a rational approach to quantitative solutions. I. Fully saturated problems
- Static and dynamic behaviour of soils: a rational approach to quantitative solutions. II. Semi-saturated problems
- On the Partial Difference Equations of Mathematical Physics
- On the stable finite element procedures for dynamic problems of saturated porous media
- Transient wave propagation in a one-dimensional poroelastic column
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