Equal lower-order finite elements of least-squares type in Biot poroelasticity modeling
DOI10.11650/tjm/230702zbMath1530.65121OpenAlexW4385522100MaRDI QIDQ6137745
Hsueh-Chen Lee, Hyesuk Kwon Lee
Publication date: 16 January 2024
Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.11650/tjm/230702
Numerical optimization and variational techniques (65K10) Linear elasticity with initial stresses (74B10) Flows in porous media; filtration; seepage (76S05) Soil and rock mechanics (74L10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) A priori estimates in context of PDEs (35B45) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) PDEs in connection with mechanics of deformable solids (35Q74)
Cites Work
- Unnamed Item
- Unnamed Item
- Overcoming the problem of locking in linear elasticity and poroelasticity: an heuristic approach
- A nonlinear weighted least-squares finite element method for Stokes equations
- A strongly conservative finite element method for the coupling of Stokes and Darcy flow
- Stabilized equal low-order finite elements in ice sheet modeling -- accuracy and robustness
- An a posteriori error estimator based on least-squares finite element solutions for viscoelastic fluid flows
- Finite element analysis of poro-elastic consolidation in porous media: standard and mixed approaches
- A new mixed finite element method for poro-elasticity
- Convergence analysis of a new mixed finite element method for Biot's consolidation model
- An adaptive least squares mixed finite element method for the stress-displacement formulation of linear elasticity
- First-Order System Least Squares for the Stress-Displacement Formulation: Linear Elasticity
- Analysis of a multiphysics finite element method for a poroelasticity model
- Least-Squares Methods for Linear Elasticity
- Performance and Scalability of Hierarchical Hybrid Multigrid Solvers for Stokes Systems
- Stabilization of Low-order Mixed Finite Elements for the Stokes Equations
- A Least-Squares Mixed Finite Element Method for Biot's Consolidation Problem in Porous Media
This page was built for publication: Equal lower-order finite elements of least-squares type in Biot poroelasticity modeling
