Steklov eigenvalues for the Lamé operator in linear elasticity

DOI10.1016/j.cam.2021.113558zbMath1466.74004arXiv2006.04308OpenAlexW3034102970MaRDI QIDQ2029431

Sebastián Domínguez

Publication date: 3 June 2021

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.04308

zbMATH Keywords

existencespectrumfinite element discretizationSteklov eigenvalueKorn's inequalityconforming Galerkin method

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Friction in solid mechanics (74M10) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (3)

Korn's inequality in anisotropic Sobolev spaces ⋮ A locking-free discontinuous Galerkin method for linear elastic Steklov eigenvalue problem ⋮ Korn's inequality and eigenproblems for the Lamé operator

Uses Software

• FreeFem++

Cites Work

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• Functional spaces for the theory of elliptic partial differential equations. Transl. from the French by Reinie Erné
• Solutions of the divergence operator on John domains
• Singularités en élasticité. (Singularities in elasticity)
• Quasiconformal mappings and extendability of functions in Sobolev spaces
• On the contact problem with slip displacement dependent friction in elastostatics
• Homogenization of Winkler-Steklov spectral conditions in three-dimensional linear elasticity
• Some remarks on Korn inequalities
• Extending Sobolev functions with partially vanishing traces from locally \(({\epsilon},{\delta})\)-domains and applications to mixed boundary problems
• Sobolev inequalities for the symmetric gradient in arbitrary domains
• Spectral geometry of the Steklov problem (survey article)
• Discrete and continuous boundary problems
• Finite Element Spectral Analysis for the Mixed Formulation of the Elasticity Equations
• A Simple Introduction to the Mixed Finite Element Method
• Weighted Korn inequalities on John domains
• Rotation and strain
• Γ-convergence for a fault model with slip-weakening friction and periodic barriers
• On traces of Sobolev functions on the boundary of extension domains
• Finite Element Methods for Navier-Stokes Equations
• On Korn's second inequality
• On spectral approximation. Part 1. The problem of convergence
• Injectivity theorems in plane and space
• Korn's inequalities for piecewise $H^1$ vector fields
• Multiscale Asymptotic Method for Steklov Eigenvalue Equations in Composite Media
• New development in freefem++

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