High order Nédélec elements with local complete sequence properties
From MaRDI portal
Publication:5708653
DOI10.1108/03321640510586015zbMath1135.78337OpenAlexW2051799546MaRDI QIDQ5708653
Sabine Zaglmayr, Joachim Schöberl
Publication date: 21 November 2005
Published in: COMPEL - The international journal for computation and mathematics in electrical and electronic engineering (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/96294709cf832963f87af29e2d8b28e6c7934335
Related Items
On basis constructions in finite element exterior calculus ⋮ Anisotropic mixed finite elements for elasticity ⋮ Quasi-3-D spectral wavelet method for a thermal quench simulation ⋮ Discrete Electromagnetism with Shape Forms of Higher Polynomial Degree ⋮ A Boundary Conformal DG Approach for Electro-Quasistatics Problems ⋮ Tree-cotree decomposition of isogeometric mortared spaces in H(curl) on multi-patch domains ⋮ Nodal finite element de Rham complexes ⋮ Partially discontinuous nodal finite elements for \(H(\mathrm{curl})\) and \(H(\mathrm{div})\) ⋮ Finite element simulation of eddy current problems using magnetic scalar potentials ⋮ Computational bases for \(RT_k\) and \(BDM_k\) on triangles ⋮ ACA accelerated high order BEM for Maxwell problems ⋮ A hybrid \(H^1\times H(\operatorname{curl})\) finite element formulation for a relaxed micromorphic continuum model of antiplane shear ⋮ Sparsity optimized high order finite element functions for \(H(\mathrm{curl})\) on tetrahedra ⋮ Primal and mixed finite element formulations for the relaxed micromorphic model ⋮ On \([H^1^{3\times 3}, [H(\text{curl})]^3\) and \(H(\text{sym Curl})\) finite elements for matrix-valued curl problems] ⋮ Higher order Bernstein-Bézier and Nédélec finite elements for the relaxed micromorphic model ⋮ A Symmetric Low-Frequency Stable Broadband Maxwell Formulation for Industrial Applications ⋮ Time- and frequency-domain hybridizable discontinuous Galerkin solvers for the calculation of the Cherenkov radiation ⋮ A Reissner-Mindlin plate formulation using symmetric Hu-Zhang elements via polytopal transformations ⋮ Bernstein-Bézier \(H(\mathrm{curl})\)-conforming finite elements for time-harmonic electromagnetic scattering problems ⋮ Novel \(H(\mathrm{sym\,Curl})\)-conforming finite elements for the relaxed micromorphic sequence ⋮ Lagrange and \(H(\mathrm{curl}, \mathcal{B})\) based finite element formulations for the relaxed micromorphic model ⋮ Computation of moments for Maxwell's equations with random interfaces via pivoted low-rank approximation ⋮ Well-conditioned orthonormal hierarchical \(\mathcal{L}_{2}\) bases on \(\mathbb R^{n }\) simplicial elements ⋮ A Family of Immersed Finite Element Spaces and Applications to Three-Dimensional \(\bf{H}(\operatorname{curl})\) Interface Problems ⋮ A CONSTRUCTION OF SPACES OF COMPATIBLE DIFFERENTIAL FORMS ON CELLULAR COMPLEXES ⋮ A fast method to compute dispersion diagrams of three-dimensional photonic crystals with rectangular geometry ⋮ Hp-finite element simulation of three-dimensional eddy current problems on multiply connected domains ⋮ Sparsity optimized high order finite element functions for H(div) on simplices ⋮ Systematic and generic construction of shape functions for \(p\)-adaptive meshes of multidimensional finite elements ⋮ Modeling of bone conduction of sound in the human head using hp-finite elements: code design and verification ⋮ Hybridizable discontinuous Galerkin methods for the time-harmonic Maxwell's equations ⋮ Matrix valued adaptive cross approximation ⋮ Hierarchical mixed hybridized methods for elliptic problems ⋮ An example of explicit implementation strategy and preconditioning for the high order edge finite elements applied to the time-harmonic Maxwell's equations ⋮ High-order finite elements in numerical electromagnetism: degrees of freedom and generators in duality ⋮ A regularised-adaptive proper generalised decomposition implementation for coupled magneto-mechanical problems with application to MRI scanners ⋮ Sensitivity Analysis for Maxwell Eigenvalue Problems in Industrial Applications ⋮ High order exact geometry finite elements for seven-parameter shells with parametric and implicit reference surfaces ⋮ \(hp\)-finite element discretisation of the electrical impedance tomography problem ⋮ A Bernstein-Bézier basis for arbitrary order Raviart-Thomas finite elements ⋮ Orientation embedded high order shape functions for the exact sequence elements of all shapes ⋮ Whitney forms and their extensions ⋮ High order edge elements on simplicial meshes ⋮ A posteriori error estimates for Maxwell equations ⋮ On high order finite element spaces of differential forms ⋮ Hierarchical high order finite element bases for \(\mathbf{H}(\operatorname{div})\) spaces based on curved meshes for two-dimensional regions or manifolds ⋮ Solution of an industrially relevant coupled magneto-mechanical problem set on an axisymmetric domain ⋮ TANGENTIAL-DISPLACEMENT AND NORMAL–NORMAL-STRESS CONTINUOUS MIXED FINITE ELEMENTS FOR ELASTICITY ⋮ Automated Generation and Symbolic Manipulation of Tensor Product Finite Elements ⋮ Towards computable flows and robust estimates for inf-sup stable FEM applied to the time-dependent incompressible Navier-Stokes equations
Cites Work
- Mixed finite elements in \(\mathbb{R}^3\)
- Fortin operator and discrete compactness for edge elements
- Discrete compactness and the approximation of Maxwell's equations in $\mathbb{R}^3$
- Multigrid Method for Maxwell's Equations
- Hierarchic finite element bases on unstructured tetrahedral meshes
- Hierarchal vector basis functions of arbitrary order for triangular and tetrahedral finite elements
- Multilevel Method for Mixed Eigenproblems
This page was built for publication: High order Nédélec elements with local complete sequence properties
