Well-conditioned orthonormal hierarchical \(\mathcal{L}_{2}\) bases on \(\mathbb R^{n }\) simplicial elements
type: Item
instance of: scholarly article
title: Well-conditioned orthonormal hierarchical \(\mathcal{L}_{2}\) bases on \(\mathbb R^{n }\) simplicial elements
zbMATH Open document ID: 1242.65245
author: Jianguo Xin
author: Wei Cai
published in: Journal of Scientific Computing
publication date: 2012-05-23T00:00:00Z
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65F35
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 6038141
zbMATH Keywords: hierarchical bases
zbMATH Keywords: simplicial \(\mathcal{L}_{2}\)-conforming elements
zbMATH Keywords: matrix conditioning
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
full work available at URL: s10915-011-9491-5
OpenAlex ID: W2029147772
cites work: Hierarchical finite element bases for triangular and tetrahedral elements
cites work: Hierachic \(hp\)-edge element families for Maxwell's equations on hybrid quadrilateral/triangular meshes
cites work: Conditioning of Hierarchic p-Version Nédélec Elements on Meshes of Curvilinear Quadrilaterals and Hexahedra
cites work: Hierarchic finite element bases on unstructured tetrahedral meshes
cites work: Uniformly convergent iterative methods for discontinuous Galerkin discretizations
cites work: A posteriori error control for a weakly over-penalized symmetric interior penalty method
cites work: New basis functions and computational procedures for p‐version finite element analysis
cites work: Q4162607
cites work: Locally divergence-free discontinuous Galerkin methods for the Maxwell equations.
cites work: The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
cites work: Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
cites work: Spectral methods on triangles and other domains
cites work: Orthogonal polynomials of several variables
cites work: Bounds for eigenvalues and condition numbers in the 𝑝-version of the finite element method
cites work: Q4109239
cites work: Q5518575
cites work: An Adaptive Discontinuous Galerkin Technique with an Orthogonal Basis Applied to Compressible Flow Problems
cites work: High order Nédélec elements with local complete sequence properties
cites work: Hierarchal vector basis functions of arbitrary order for triangular and tetrahedral finite elements
cites work: A Well-Conditioned Hierarchical Basis for Triangular H(curl)-Conforming Elements
cites work: Implementation of hierarchical bases in FEMLAB for simplicial elements
DOI: 10.1007/S10915-011-9491-5
description: scientific article; zbMATH DE number 6038141