High order biorthogonal functions in \(H(\mathrm{curl})\)
type: Item
instance of: scholarly article
title: High order biorthogonal functions in \(H(\mathrm{curl})\)
author: Tim Haubold
author: Sven Beuchler
author: Joachim Schöberl
published in: SIAM Journal on Numerical Analysis
publication date: 2024-10-22T00:00:00Z
Mathematics Subject Classification ID: 65N22
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 33C45
zbMATH DE Number: 7930216
zbMATH Keywords: finite elements
zbMATH Keywords: numerical methods for partial differential equations
zbMATH Keywords: orthogonal polynomials
MaRDI profile type: Publication
cites work: Bernstein–Bézier Finite Elements of Arbitrary Order and Optimal Assembly Procedures
cites work: Hierachic \(hp\)-edge element families for Maxwell's equations on hybrid quadrilateral/triangular meshes
cites work: Bernstein-Bézier bases for tetrahedral finite elements
cites work: Q4222737
cites work: The problem of selecting the shape functions for ap-type finite element
cites work: Sparse shape functions for tetrahedral \(p\)-FEM using integrated Jacobi polynomials
cites work: Q3500086
cites work: Sparsity Optimized High Order Finite Element Functions on Simplices
cites work: Sparsity optimized high order finite element functions for H(div) on simplices
cites work: Sparsity optimized high order finite element functions for \(H(\mathrm{curl})\) on tetrahedra
cites work: New shape functions for triangular \(p\)-FEM using integrated Jacobi polynomials
cites work: Computing with hp-ADAPTIVE FINITE ELEMENTS
cites work: Spectral methods on triangles and other domains
cites work: Orthogonal Polynomials of Several Variables
cites work: Orientation embedded high order shape functions for the exact sequence elements of all shapes
cites work: Nédélec spaces in affine coordinates
cites work: Condition number and diagonal preconditioning: Comparison of the \(p\)-version and the spectral element methods
cites work: Q3634482
cites work: \(hp\)-finite element methods for singular perturbations
cites work: Finite Element Methods for Maxwell's Equations
cites work: Q4220650
cites work: A new triangular and tetrahedral basis for high‐order (hp) finite element methods
cites work: Q4000182
cites work: Q4217234
cites work: A multigrid method based on the unconstrained product space for mortar finite element discretizations
DOI: 10.1137/23M1606794
description: scientific article; zbMATH DE number 7930216