NewH(div)-conforming multiscale hybrid-mixed methods for the elasticity problem on polygonal meshes
DOI10.1051/m2an/2021013zbMath1491.65132OpenAlexW2994877760MaRDI QIDQ5154009
Agnaldo M. Farias, Antônio J. B. dos Santos, Weslley S. Pereira, Frédéric Valentin, Philippe Remy Bernard Devloo, Sônia M. Gomes
Publication date: 1 October 2021
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/m2an/2021013
Linear elasticity with initial stresses (74B10) Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of equilibrium problems in solid mechanics (74G15) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A family of Multiscale Hybrid-Mixed finite element methods for the Darcy equation with rough coefficients
- Systematic and generic construction of shape functions for \(p\)-adaptive meshes of multidimensional finite elements
- Two families of mixed finite elements for second order elliptic problems
- A family of mixed finite elements for the elasticity problem
- Dual hybrid methods for the elasticity and the Stokes problems: A unified approach
- A new procedure for the construction of hierarchical high order Hdiv and Hcurl finite element spaces
- Multiscale finite element coarse spaces for the application to linear elasticity
- A multiscale hybrid method for Darcy's problems using mixed finite element local solvers
- A remark concerning divergence accuracy order for \(\mathbf H(\operatorname{div})\)-conforming finite element flux approximations
- Enriched two dimensional mixed finite element models for linear elasticity with weak stress symmetry
- A multiscale method for linear elasticity reducing Poisson locking
- Mixed finite elements for elasticity on quadrilateral meshes
- Reduced symmetry elements in linear elasticity
- A hybrid-mixed method for elasticity
- On the robustness of multiscale hybrid-mixed methods
- On the singular Neumann problem in linear elasticity
- Multiscale Finite Elements for Linear Elasticity: Oscillatory Boundary Conditions
- Localization of elliptic multiscale problems
- Multiscale Finite Element Methods
- Finite elements for symmetric tensors in three dimensions
- A new elasticity element made for enforcing weak stress symmetry
- Mixed finite element methods for linear elasticity with weakly imposed symmetry
- Finite Element Methods for Navier-Stokes Equations
- Finite element subspaces with optimal rates of convergence for the stationary Stokes problem
- Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
- Primal Hybrid Finite Element Methods for 2nd Order Elliptic Equations
- Mixed Finite Element Methods and Applications
- Domain decomposition and multiscale mortar mixed finite element methods for linear elasticity with weak stress symmetry
- On a Multiscale Hybrid-Mixed Method for Advective-Reactive Dominated Problems with Heterogeneous Coefficients
- ANALYSIS OF A HETEROGENEOUS MULTISCALE FEM FOR PROBLEMS IN ELASTICITY
- QuadrilateralH(div) Finite Elements
This page was built for publication: NewH(div)-conforming multiscale hybrid-mixed methods for the elasticity problem on polygonal meshes