On the structure preserving high-order approximation of quasistatic poroelasticity

DOI10.1016/J.MATCOM.2020.12.029OpenAlexW3118876058MaRDI QIDQ2666200

Yanyan Li

Publication date: 22 November 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.13086

zbMATH Keywords

differential-algebraic equationsmixed finite elementsGalerkin approximationporoelasticityBiot systemstructure preserving discretization

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Numerical analysis (65-XX)

Related Items (2)

Port-Hamiltonian formulations of poroelastic network models ⋮ Control of port-Hamiltonian differential-algebraic systems and applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Galerkin and Runge-Kutta methods: unified formulation, a posteriori error estimates and nodal superconvergence
• Numerical solution of differential algebraic Riccati equations
• A strongly conservative finite element method for the coupling of Stokes and Darcy flow
• A coupling of mixed and discontinuous Galerkin finite element methods for poroelasticity
• Improved accuracy in finite element analysis of Biot's consolidation problem
• Diffusion in poro-elastic media
• Parameter-robust stability of classical three-field formulation of Biot's consolidation model
• Theory and practice of finite elements.
• Space-time finite element approximation of the Biot poroelasticity system with iterative coupling
• 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
• Locking-Free Finite Element Methods for Poroelasticity
• A coupling of nonconforming and mixed finite element methods for Biot's consolidation model
• The existence and uniqueness theorem in Biot's consolidation theory
• Finite element methods for coupled thermoelasticity and coupled consolidation of clay
• Finite Element Methods for Navier-Stokes Equations
• On stability and convergence of finite element approximations of Biot's consolidation problem
• Mixed Finite Element Methods and Applications
• A Study of Two Modes of Locking in Poroelasticity
• Parameter-Robust Convergence Analysis of Fixed-Stress Split Iterative Method for Multiple-Permeability Poroelasticity Systems
• Conservative discretizations and parameter‐robust preconditioners for Biot and multiple‐network flux‐based poroelasticity models
• Galerkin Finite Element Methods for Parabolic Problems
• A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations

This page was built for publication: On the structure preserving high-order approximation of quasistatic poroelasticity