Finite Elements for div- and divdiv-Conforming Symmetric Tensors in Arbitrary Dimension
DOI10.1137/21M1433708zbMath1496.65213arXiv2106.13384OpenAlexW4289317684WikidataQ114074003 ScholiaQ114074003MaRDI QIDQ5096448
Publication date: 17 August 2022
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.13384
symmetric tensordual approachspace decompositiondiv-conforming finite elementsdivdiv-conforming finite elements
Linear elasticity with initial stresses (74B10) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)
Related Items (10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
- Geometric decompositions and local bases for spaces of finite element differential forms
- On the linearization of Regge calculus
- Intrinsic supersmoothness of multivariate splines
- A family of mixed finite elements for the biharmonic equations on triangular and tetrahedral grids
- Multivariate vertex splines and finite elements
- On Bogovskiĭ and regularized Poincaré integral operators for de Rham complexes on Lipschitz domains
- Mixed finite elements for second order elliptic problems in three variables
- Mixed finite elements in \(\mathbb{R}^3\)
- Mixed finite elements for elasticity
- A family of symmetric mixed finite elements for linear elasticity on tetrahedral grids
- A mixed finite element method for elasticity in three dimensions
- Finite element approximations of symmetric tensors on simplicial grids in ℝn: The lower order case
- Topics in structure-preserving discretization
- Finite element exterior calculus, homological techniques, and applications
- Finite element approximations of symmetric tensors on simplicial grids in Rn: the high order case
- Finite elements for symmetric tensors in three dimensions
- Fast auxiliary space preconditioners for linear elasticity in mixed form
- Finite elements for divdiv conforming symmetric tensors in three dimensions
- A finite element elasticity complex in three dimensions
- Decoupling of Mixed Methods Based on Generalized Helmholtz Decompositions
This page was built for publication: Finite Elements for div- and divdiv-Conforming Symmetric Tensors in Arbitrary Dimension