Mixed finite element formulation for dynamics of porous media
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Publication:6554996
DOI10.1002/nme.5799zbMATH Open1548.76124MaRDI QIDQ6554996
Zahrasadat Lotfian, M. V. Sivaselvan
Publication date: 13 June 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Flows in porous media; filtration; seepage (76S05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Cites Work
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- A fully-coupled upwind discontinuous Galerkin method for incompressible porous media flows: high-order computations of viscous fingering instabilities in complex geometry
- Boundary element method for dynamic poroelastic and thermoelastic analyses
- Overcoming the problem of locking in linear elasticity and poroelasticity: an heuristic approach
- A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
- A space-time discontinuous Galerkin method applied to single-phase flow in porous media
- A stable finite element for the Stokes equations
- A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
- Mixed finite elements in \(\mathbb{R}^3\)
- Incompressible porous media models by use of the theory of mixtures
- Nonlinear transient phenomena in saturated porous media
- A new viewpoint on mixed elements
- A numerical solution of the Navier-Stokes equations using the finite element technique
- A discontinuous \(hp\) finite element method for diffusion problems
- Numerical calculation of the elastic and plastic behavior of saturated porous media
- On finite dynamic equations for fluid-saturated porous media
- A self-stabilized algorithm for enforcing constraints in multibody systems.
- Dynamic fundamental solutions for compressible and incompressible modeled poroelastic continua
- One-dimensional transient wave propagation in fluid-saturated incompressible porous media
- Variationally derived 3-field finite element formulations for quasistatic poroelastic analysis of hydrated biological tissues
- A stabilized mixed discontinuous Galerkin method for Darcy flow
- Dynamics of porous media at finite strain
- Stabilized low-order finite elements for coupled solid-deformation/fluid-diffusion and their application to fault zone transients
- 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
- Finite elements. Theory, fast solvers, and applications in solid mechanics. Transl. from the German by Larry L. Schumaker.
- Numerical simulation of fully saturated porous materials
- Dynamic behaviour of saturated porous media; The generalized Biot formulation and its numerical solution
- A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
- The inf-sup test
- A mixed-penalty finite element formulation of the linear biphasic theory for soft tissues
- Thermoelasticity and Irreversible Thermodynamics
- Mechanics of Deformation and Acoustic Propagation in Porous Media
- Evaluation of higher order, mixed and Hermitean finite element procedures for dynamic analysis of saturated porous media using one-dimensional models
- The Consistent Initialization of Differential-Algebraic Systems
- On pressure boundary conditions for the incompressible Navier-Stokes equations
- Consistent vs. reduced integration penalty methods for incompressible media using several old and new elements
- Mixed and Hybrid Finite Element Methods
- Incompressibility without tears—HOW to avoid restrictions of mixed formulation
- A penalty finite element analysis for nonlinear mechanics of biphasic hydrated soft tissue under large deformation
- A conforming finite element method for two-dimensional incompressible elasticity
- On stability and convergence of finite element approximations of Biot's consolidation problem
- Evaluation of three‐ and two‐field finite element methods for the dynamic response of saturated soil
- FEM-FDM coupled liquefaction analysis of a porous soil using an elasto-plastic model
- Asymptotic Behavior of Semidiscrete Finite-Element Approximations of Biot’s Consolidation Problem
- Mixed Finite Element Methods and Applications
- Static and dynamic behaviour of soils : a rational approach to quantitative solutions. I. Fully saturated problems
- Finite Element Methods and Their Applications
- Three Matlab Implementations of the Lowest-order Raviart-Thomas Mfem with a Posteriori Error Control
- Discontinuous Galerkin method applied to a single phase flow in porous media. II
- Numerical Method for Darcy Flow Derived Using Discrete Exterior Calculus
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