Mixed finite element approximations based on 3-D \(hp\)-adaptive curved meshes with two types of H(div)-conforming spaces
type: Item
instance of: scholarly article
title: Mixed finite element approximations based on 3-D \(hp\)-adaptive curved meshes with two types of H(div)-conforming spaces
zbMATH Open document ID: 1548.65284
author: Philippe R. B. Devloo
author: Omar Durán
author: Sônia M. Gomes
author: N. Shauer
published in: International Journal for Numerical Methods in Engineering
publication date: 2024-07-02T00:00:00Z
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N50
zbMATH DE Number: 7874741
zbMATH Keywords: curved elements
zbMATH Keywords: H(div)-conforming spaces
zbMATH Keywords: \(hp\) adaptivity
zbMATH Keywords: mixed finite elements
MaRDI profile type: Publication
cites work: Q4136469
cites work: Mixed and Hybrid Finite Element Methods
cites work: Geometric decompositions and local bases for spaces of finite element differential forms
cites work: Bernstein–Bézier Finite Elements of Arbitrary Order and Optimal Assembly Procedures
cites work: Non-uniform order mixed FEM approximation: implementation, post-processing, computable error bound and adaptivity
cites work: Sparsity optimized high order finite element functions for H(div) on simplices
cites work: Orientation embedded high order shape functions for the exact sequence elements of all shapes
cites work: Three dimensional hierarchical mixed finite element approximations with enhanced primal variable accuracy
cites work: Systematic and generic construction of shape functions for \(p\)-adaptive meshes of multidimensional finite elements
cites work: Implementation of continuous \(hp\)-adaptive finite element spaces without limitations on hanging sides and distribution of approximation orders
cites work: Finite Element Methods for Maxwell's Equations
cites work: A new procedure for the construction of hierarchical high order Hdiv and Hcurl finite element spaces
cites work: Two-dimensional \(hp\) adaptive finite element spaces for mixed formulations
cites work: Mixed finite elements in \(\mathbb{R}^3\)
cites work: A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
cites work: QuadrilateralH(div) Finite Elements
cites work: Approximation of H(div) with High-Order Optimal Finite Elements for Pyramids, Prisms and Hexahedra
cites work: Finite element differential forms on curvilinear cubic meshes and their approximation properties
cites work: Hierarchical high order finite element bases for \(\mathbf{H}(\operatorname{div})\) spaces based on curved meshes for two-dimensional regions or manifolds
DOI: 10.1002/NME.5698
description: scientific article; zbMATH DE number 7874741