A stabilized total pressure-formulation of the Biot's poroelasticity equations in frequency domain: numerical analysis and applications

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 boundary value problems involving PDEs (65N30) Elastic materials (74Bxx)

Cites Work

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A fully asynchronous multifrontal solver using distributed dynamic scheduling
Three-dimensional adaptive domain remeshing, implicit domain meshing, and applications to free and moving boundary problems
Finite element approximation of the Navier-Stokes equations
\(T\)-coercivity: application to the discretization of Helmholtz-like problems
Automated solution of differential equations by the finite element method. The FEniCS book
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
Improved accuracy in finite element analysis of Biot's consolidation problem
Fredholm's alternative for compact bilinear foums in reflexive Banach spaces
Diffusion in poro-elastic media
Theory and practice of finite elements.
Adaptive poromechanics computations based on a posteriori error estimates for fully mixed formulations of Biot's consolidation model
Robust error analysis of coupled mixed methods for Biot's consolidation model
Virtual element methods for the three-field formulation of time-dependent linear poroelasticity
Stress and flux reconstruction in Biot's poro-elasticity problem with application to a posteriori error analysis
General theory of three-dimensional consolidation.
A nonconforming high-order method for the Biot problem on general meshes
Locking-free finite element methods for poroelasticity
Convergence analysis of a new mixed finite element method for Biot's consolidation model
Analysis of fully-mixed finite element methods for the Stokes-Darcy coupled problem
On the numerical analysis of nonlinear twofold saddle point problems
An Introduction to Partial Differential Equations
Residual-baseda posteriorierror estimates of mixed methods for a three-field Biot’s consolidation model
Robusta posteriorierror estimation for mixed finite element approximation of linear poroelasticity
On Korn's inequality
Boundary Element Methods
A posteriori error estimation and adaptivity for multiple-network poroelasticity
A hybrid PML formulation for the 2D three-field dynamic poroelastic equations
Displacement and Pressure Reconstruction from Magnetic Resonance Elastography Images: Application to an In Silico Brain Model

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