Geometric decomposition and efficient implementation of high order face and edge elements

PDEs in connection with optics and electromagnetic theory (35Q60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

Computational bases for $RT_k$ and $BDM_k$ on triangles
A new family of mixed finite elements in ${\mathbb{R}}^ 3$
Geometric decompositions and local bases for spaces of finite element differential forms
Two families of mixed finite elements for second order elliptic problems
Mixed finite elements for second order elliptic problems in three variables
Nodal finite element de Rham complexes
A new procedure for the construction of hierarchical high order Hdiv and Hcurl finite element spaces
Bernstein-Bézier bases for tetrahedral finite elements
MFEM: a modular finite element methods library
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Three dimensional hierarchical mixed finite element approximations with enhanced primal variable accuracy
On the Construction of Well-Conditioned Hierarchical Bases for Tetrahedral H(curl)-Conforming Nedelec Elements
Hierarchical High Order Finite Element Approximation Spaces for H(div) and H(curl)
Efficient Assembly of $H(\mathrm{div})$ and $H(\mathrm{curl})$ Conforming Finite Elements
Finite element exterior calculus, homological techniques, and applications
Hierarchic finite element bases on unstructured tetrahedral meshes
On a Class of Finite Elements Generated by Lagrange Interpolation
A Well-Conditioned Hierarchical Basis for Triangular H(curl)-Conforming Elements
On the Construction of Well-Conditioned Hierarchical Bases for (div)-Conforming ℝⁿ Simplicial Elements
Finite element de Rham and Stokes complexes in three dimensions