Weak Galerkin finite element method for linear poroelasticity problems
DOI10.1016/j.apnum.2023.04.015arXiv2208.04785MaRDI QIDQ6169239
Shimin Chai, Jinhui Zhou, Shanshan Gu, Chenguang Zhou
Publication date: 11 July 2023
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.04785
weak Galerkin finite element methodlinear poroelasticity problemlocking-free propertyoptimal pressure error estimate
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Elliptic equations and elliptic systems (35Jxx)
Cites Work
- Unnamed Item
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- On the derivation of the transport equation for swelling porous materials with finite deformation
- Weak Galerkin method with \((r, r - 1, r - 1)\)-order finite elements for second order parabolic equations
- A strongly conservative finite element method for the coupling of Stokes and Darcy flow
- Two families of mixed finite elements for second order elliptic problems
- Weak Galerkin mixed finite element method for heat equation
- Weak Galerkin finite element method for Biot's consolidation problem
- A discrete divergence free weak Galerkin finite element method for the Stokes equations
- Weak Galerkin method for the Biot's consolidation model
- A finite difference analysis of Biot's consolidation model
- A weak Galerkin finite element method for second-order elliptic problems
- Parameter-robust multiphysics algorithms for Biot model with application in brain edema simulation
- Stabilizer-free weak Galerkin finite element method with second-order accuracy in time for the time fractional diffusion equation
- Supercloseness and postprocessing of stabilizer-free weak Galerkin finite element approximations for parabolic problems
- A high-order HDG method for the Biot's consolidation model
- A locking free numerical approximation for quasilinear poroelasticity problems
- On the uniform convergence of the weak Galerkin finite element method for a singularly-perturbed biharmonic equation
- A stabilizer-free weak Galerkin finite element method on polytopal meshes
- A note on the optimal degree of the weak gradient of the stabilizer free weak Galerkin finite element method
- A weak Galerkin finite element method with polynomial reduction
- A weak Galerkin method for nonlinear stochastic parabolic partial differential equations with additive noise
- A Nonconforming High-Order Method for the Biot Problem on General Meshes
- A new weak Galerkin finite element method for the Helmholtz equation
- A weak Galerkin mixed finite element method for second order elliptic problems
- Weak Galerkin Finite Element Methods on Polytopal Meshes
- Discontinuous Galerkin Methods for Anisotropic Semidefinite Diffusion with Advection
- A weak Galerkin mixed finite element method for the Helmholtz equation with large wave numbers
- A Weak Galerkin Method with RT Elements for a Stochastic Parabolic Differential Equation
- A Stabilizer-Free, Pressure-Robust, and Superconvergence Weak Galerkin Finite Element Method for the Stokes Equations on Polytopal Mesh
- A Stabilizer-Free Weak Galerkin Finite Element Method for the Stokes Equations
- A Stabilizer Free Weak Galerkin Method for the Biharmonic Equation on Polytopal Meshes
- A New Mixed Finite Element Method for Biot Consolidation Equations
- A Numerical Analysis of the Weak Galerkin Method for the Helmholtz Equation with High Wave Number
- A Modified Weak Galerkin Finite Element Method for the Poroelasticity Problems
- Numerical Approximation to A Stochastic Parabolic PDE with Weak Galerkin Method
- Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes
- A stabilized method for a secondary consolidation Biot's model
- Galerkin Finite Element Methods for Parabolic Problems
- A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations
- A weak Galerkin finite element method for the Stokes equations
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