Spectral Analysis of a Mixed Method for Linear Elasticity
DOI10.1137/22m148611xzbMath1529.65133arXiv2203.12220OpenAlexW4385276972MaRDI QIDQ6170436
Publication date: 10 August 2023
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.12220
Smoothness and regularity of solutions to PDEs (35B65) Classical linear elasticity (74B05) 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) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)
Cites Work
- Unnamed Item
- Unnamed Item
- Nonconforming mixed finite element approximation of a fluid-structure interaction spectral problem
- Mathematical aspects of discontinuous Galerkin methods.
- Partial expansion of a Lipschitz domain and some applications
- Perturbation theory for nullity, deficiency and other quantities of linear operators
- A family of mixed finite elements for the elasticity problem
- Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
- Error analysis of mixed finite element methods for nonlinear parabolic equations
- Eigenvalue approximation by mixed non-conforming finite element methods
- A virtual element approximation for the pseudostress formulation of the Stokes eigenvalue problem
- Least-squares formulations for eigenvalue problems associated with linear elasticity
- Variational eigenvalue approximation of non-coercive operators with application to mixed formulations in elasticity
- An adaptive finite element scheme for the Hellinger-Reissner elasticity mixed eigenvalue problem
- Finite element analysis for a pressure-stress formulation of a fluid-structure interaction spectral problem
- Mixed discontinuous Galerkin approximation of the elasticity eigenproblem
- A DG method for a stress formulation of the elasticity eigenproblem with strongly imposed symmetry
- Finite Element Spectral Analysis for the Mixed Formulation of the Elasticity Equations
- A second elasticity element using the matrix bubble
- Finite elements in computational electromagnetism
- A new elasticity element made for enforcing weak stress symmetry
- Mixed finite element methods for linear elasticity with weakly imposed symmetry
- Eigenvalue Approximation by Mixed and Hybrid Methods
- Mixed and Hybrid Finite Element Methods
- Spectral Approximation for Compact Operators
- A new family of stable mixed finite elements for the 3D Stokes equations
- Arnold--Winther Mixed Finite Elements for Stokes Eigenvalue Problems
- Mixed Finite Element Methods and Applications
- Symmetric and Nonsymmetric Discontinuous Galerkin Methods for a Pseudostress Formulation of the Stokes Spectral Problem
- A finite element analysis of a pseudostress formulation for the Stokes eigenvalue problem
- Hybridization and Postprocessing Techniques for Mixed Eigenfunctions
- Analysis of a new augmented mixed finite element method for linear elasticity allowing $\mathbb{RT}_0$-$\mathbb{P}_1$-$\mathbb{P}_0$ approximations
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