Novel \(H(\mathrm{sym\,Curl})\)-conforming finite elements for the relaxed micromorphic sequence
From MaRDI portal
Publication:6118552
DOI10.1016/j.cma.2023.116494arXiv2308.07750OpenAlexW4387631025MaRDI QIDQ6118552
Patrizio Neff, Adam Sky, Michael Neunteufel, Andreas Zilian, Peter Lewintan
Publication date: 21 March 2024
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2308.07750
metamaterialsrelaxed micromorphic modelpolytopal templates\(H(\mathrm{sym\,Curl})\) finite elementsdivDiv sequencerelaxed micromorphic sequence
Cites Work
- Hitchhiker's guide to the fractional Sobolev spaces
- Hilbert complexes of nonlinear elasticity
- A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
- Fast MATLAB assembly of FEM matrices in 2D and 3D: edge elements
- Modeling phononic crystals via the weighted relaxed micromorphic model with free and gradient micro-inertia
- A family of mixed finite elements for the biharmonic equations on triangular and tetrahedral grids
- Mixed finite elements in \(\mathbb{R}^3\)
- NETGEN: An advancing front 2D/3D-mesh generator based on abstract rules
- An analysis of the TDNNS method using natural norms
- \(L^p\)-versions of generalized Korn inequalities for incompatible tensor fields in arbitrary dimensions with \(p\)-integrable exterior derivative
- Identification of scale-independent material parameters in the relaxed micromorphic model through model-adapted first order homogenization
- Effective description of anisotropic wave dispersion in mechanical band-gap metamaterials via the relaxed micromorphic model
- On Korn-Maxwell-Sobolev inequalities
- Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy
- Complexes from complexes
- A local regularity result for the relaxed micromorphic model based on inner variations
- Bernstein-Bézier Galerkin-characteristics finite element method for convection-diffusion problems
- Three-field mixed finite element methods for nonlinear elasticity
- Poincaré meets Korn via Maxwell: extending Korn's first inequality to incompatible tensor fields
- A unifying perspective: the relaxed linear micromorphic continuum
- A hybrid \(H^1\times H(\operatorname{curl})\) finite element formulation for a relaxed micromorphic continuum model of antiplane shear
- Primal and mixed finite element formulations for the relaxed micromorphic model
- A Bernstein-Bézier Lagrange-Galerkin method for three-dimensional advection-dominated problems
- Lagrange and \(H(\mathrm{curl}, \mathcal{B})\) based finite element formulations for the relaxed micromorphic model
- Traces for Hilbert complexes
- Spurious-free approximations of electromagnetic eigenproblems by means of Nedelec-type elements
- Cosserat Media
- Anisotropic mixed finite elements for elasticity
- Bernstein–Bézier Finite Elements of Arbitrary Order and Optimal Assembly Procedures
- Maxwell meets Korn: A new coercive inequality for tensor fields in RN×N with square-integrable exterior derivative
- Finite elements for symmetric tensors in three dimensions
- Another Short Proof of the Hairy Ball Theorem
- Nečas–Lions lemma revisited: An Lp‐version of the generalized Korn inequality for incompatible tensor fields
- Boundary and interface conditions in the relaxed micromorphic model: Exploring finite-size metastructures for elastic wave control
- Finite Elements for div- and divdiv-Conforming Symmetric Tensors in Arbitrary Dimension
- The divDiv-complex and applications to biharmonic equations
- Discrete and conforming smooth de Rham complexes in three dimensions
- Edge Element Methods for Maxwell's Equations with Strong Convergence for Gauss' Laws
- High order Nédélec elements with local complete sequence properties
- Conforming Finite Element DIVDIV Complexes and the Application for the Linearized Einstein--Bianchi System
- Thermomechanics of Cosserat medium: modeling adiabatic shear bands in metals
- Size-effects of metamaterial beams subjected to pure bending: on boundary conditions and parameter identification in the relaxed micromorphic model
- A Reissner-Mindlin plate formulation using symmetric Hu-Zhang elements via polytopal transformations
- Hilbert complexes with mixed boundary conditions part 1: de Rham complex
- The consistent coupling boundary condition for the classical micromorphic model: existence, uniqueness and interpretation of parameters
- Optimal incompatible Korn-Maxwell-Sobolev inequalities in all dimensions
- Hilbert complexes with mixed boundary conditions—Part 2: Elasticity complex
This page was built for publication: Novel \(H(\mathrm{sym\,Curl})\)-conforming finite elements for the relaxed micromorphic sequence
