Basis for high order divergence-free finite element spaces

Basic methods for problems in optics and electromagnetic theory (78Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) General topics in optics and electromagnetic theory (78Axx)

Cites Work

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Spectral approximation of the curl operator in multiply connected domains
High-order finite elements in numerical electromagnetism: degrees of freedom and generators in duality
Hp-finite element simulation of three-dimensional eddy current problems on multiply connected domains
Mixed finite elements in $\mathbb{R}^3$
A graph approach for the construction of high order divergence-free Raviart-Thomas finite elements
Mixed finite element methods and tree-cotree implicit condensation
Bernstein-Bézier bases for tetrahedral finite elements
Small trees for high order Whitney elements
Towards nonuniform distributions of unisolvent weights for high-order Whitney edge elements
Finite element potentials
Decoupling Three-Dimensional Mixed Problems Using Divergence-Free Finite Elements
On high order finite element spaces of differential forms
Construction of a Finite Element Basis of the First de Rham Cohomology Group and Numerical Solution of 3D Magnetostatic Problems
Bernstein–Bézier Finite Elements of Arbitrary Order and Optimal Assembly Procedures
Generators of $H_1(\Gamma_{h},\mathbbZ)$ for Triangulated Surfaces: Construction and Classification
Magnetostatic field computations in terms of two-component vector potentials
Finite element exterior calculus, homological techniques, and applications
Whitney Forms of Higher Degree
A Robust Numerical Method for Stokes Equations Based on Divergence-FreeH(div) Finite Element Methods
Construction d’une base de fonctions $P_1$ non conforme à divergence nulle dans $\mathbb {R}^3$
Discrete Vector Potentials for Nonsimply Connected Three-Dimensional Domains
Graphs, spanning trees and divergence-free finite elements in domains of general topology
A Finite Element Method with Lagrange Multipliers for Low-Frequency Harmonic Maxwell Equations
Finite Elements for div- and divdiv-Conforming Symmetric Tensors in Arbitrary Dimension
Discrete Vector Potential Representation of a Divergence-Free Vector Field in Three-Dimensional Domains: Numerical Analysis of a Model Problem
A Graph-Based Algorithm for the Approximation of the Spectrum of the Curl Operator

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