A local regularity result for the relaxed micromorphic model based on inner variations

DOI10.1016/J.JMAA.2022.126806zbMath1503.35219arXiv2208.04821OpenAlexW4307419985MaRDI QIDQ2102094

Patrizio Neff, Sebastian Owczarek, Dorothee Knees

Publication date: 28 November 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.04821

zbMATH Keywords

local regularityrelaxed micromorphic modelelasticity combined with Maxwell systemfinite differences based on inner variationsPiola transform

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Micromechanics of solids (74M25) Electromagnetic effects in solid mechanics (74F15) Impact in solid mechanics (74M20) Electromagnetic theory (general) (78A25) Finite difference methods for boundary value problems involving PDEs (65N06) PDEs in connection with mechanics of deformable solids (35Q74) Maxwell equations (35Q61) Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators (35J86)

Related Items (4)

Higher order Bernstein-Bézier and Nédélec finite elements for the relaxed micromorphic model ⋮ Size-effects of metamaterial beams subjected to pure bending: on boundary conditions and parameter identification in the relaxed micromorphic model ⋮ Novel \(H(\mathrm{sym\,Curl})\)-conforming finite elements for the relaxed micromorphic sequence ⋮ A local regularity result for the relaxed micromorphic model based on inner variations

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