Least-squares formulations for eigenvalue problems associated with linear elasticity

DOI10.1016/j.camwa.2020.12.013OpenAlexW3130457230MaRDI QIDQ2034885

Fleurianne Bertrand, Daniele Boffi

Publication date: 23 June 2021

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2020.12.013

zbMATH Keywords

least-squares finite element methodeigenvalue approximation

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Error bounds for boundary value problems involving PDEs (65N15) 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)

Related Items (5)

On the spectrum of an operator associated with least-squares finite elements for linear elasticity ⋮ Superconvergence of DPG approximations in linear elasticity ⋮ Spectral Analysis of a Mixed Method for Linear Elasticity ⋮ A stabilized nonconforming Crouzeix–Raviart finite element method for the elasticity eigenvalue problem with the pure traction boundary condition ⋮ Editorial: Recent advances in least-squares and discontinuous Petrov-Galerkin finite element methods

Uses Software

• SLEPc
• FEniCS

Cites Work

• Unnamed Item
• Asymptotically exact a posteriori error analysis for the mixed Laplace eigenvalue problem
• Least-squares methods for elasticity and Stokes equations with weakly imposed symmetry
• Finite element approximation of eigenvalue problems
• SLEPc
• Eigenvalues of Block Matrices Arising from Problems in Fluid Mechanics
• Least-Squares Methods for Linear Elasticity
• Arnold--Winther Mixed Finite Elements for Stokes Eigenvalue Problems
• QuadrilateralH(div) Finite Elements
• The $L^2$ Norm Error Estimates for the Div Least‐Squares Method

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