An efficient construction of divergence-free spaces in the context of exact finite element de Rham sequences

DOI10.1016/j.cma.2022.115476OpenAlexW4293796729WikidataQ114196714 ScholiaQ114196714MaRDI QIDQ2679316

N. Shauer, Francisco T. Orlandini, Sônia M. Gomes, Jeferson Wilian Dossa Fernandes, Philippe Remy Bernard Devloo

Publication date: 19 January 2023

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2022.115476

zbMATH Keywords

mixed methodsfinite element exact sequencesstrong divergence-free flux approximations

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (1)

Exact sequences of conforming finite element spaces with interface constraints for macro polytopal meshes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Divergence-free \(\mathbf{\mathcal{H}}(\mathbf{div})\)-conforming hierarchical bases for magnetohydrodynamics (MHD)
• A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
• Hp-finite element simulation of three-dimensional eddy current problems on multiply connected domains
• Systematic and generic construction of shape functions for \(p\)-adaptive meshes of multidimensional finite elements
• Mixed finite elements in \(\mathbb{R}^3\)
• A graph approach for the construction of high order divergence-free Raviart-Thomas finite elements
• High-order composite finite element exact sequences based on tetrahedral-hexahedral-prismatic-pyramidal partitions
• Orientation embedded high order shape functions for the exact sequence elements of all shapes
• Three dimensional hierarchical mixed finite element approximations with enhanced primal variable accuracy
• Computational Models of Electromagnetic Resonators: Analysis of Edge Element Approximation
• Hierarchic finite element bases on unstructured tetrahedral meshes
• Graphs, spanning trees and divergence-free finite elements in domains of general topology
• Mixed Finite Element Methods and Applications
• Discrete Vector Potential Representation of a Divergence-Free Vector Field in Three-Dimensional Domains: Numerical Analysis of a Model Problem
• Hierarchical high order finite element bases for \(\mathbf{H}(\operatorname{div})\) spaces based on curved meshes for two-dimensional regions or manifolds

This page was built for publication: An efficient construction of divergence-free spaces in the context of exact finite element de Rham sequences