Systematic and generic construction of shape functions for \(p\)-adaptive meshes of multidimensional finite elements
type: Item
instance of: scholarly article
title: Systematic and generic construction of shape functions for \(p\)-adaptive meshes of multidimensional finite elements
zbMATH Open document ID: 1227.65112
author: Philippe R. B. Devloo
author: Cedric M. A. Ayala Bravo
author: Edimar Cesar Rylo
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2011-11-30T00:00:00Z
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 65M50
zbMATH DE Number: 5982996
zbMATH Keywords: finite element
zbMATH Keywords: shape functions
zbMATH Keywords: \(p\) refinement
zbMATH Keywords: hierarchical element
zbMATH Keywords: spectral methods
MaRDI profile type: Publication
full work available at URL: j.cma.2008.12.022
OpenAlex ID: W2059572708
cites work: The \(p\)-version of finite element method for shell analysis
cites work: Mean value coordinates
cites work: Q4875909
cites work: Galerkin and discontinuous Galerkin spectral/\(hp\) methods
cites work: A straightforward structure to construct shape functions for variable \(p\)-order meshes
cites work: An investigation of the implementation of the p-version finite element method
cites work: The polynomial approximation in the finite element method
cites work: Q4892090
cites work: Finite element analysis of quasi‐prismatic bodies using Chebyshev polynomials
cites work: Basis Functions for Triangular and Quadrilateral High-Order Elements
cites work: High order Nédélec elements with local complete sequence properties
DOI: 10.1016/J.CMA.2008.12.022
Recommended article: A straightforward structure to construct shape functions for variable \(p\)-order meshes
Recommended article: Optimally adapted meshes for finite elements of arbitrary order and \(W^{1,p}\) norms
Recommended article: Self-adaptive boundary elements with \(h\)-hierarchical shape functions
Recommended article: Q4341509
Recommended article: A Comparative Numerical Study of Meshing Functionals for Variational Mesh Adaptation
Recommended article: A WAVE EQUATION MODEL TO SOLVE THE MULTIDIMENSIONAL TRANSPORT EQUATION
Recommended article: AN ADAPTIVE FINITE ELEMENT APPROXIMATION OF A GENERALIZED AMBROSIO–TORTORELLI FUNCTIONAL
Recommended article: Implementation of an adaptive finite-element approximation of the Mumford-Shah functional
Recommended article: Adaptive finite element method for shape optimization
Recommended article: \(r\)-adaptive mesh generation for shell finite element analysis
description: scientific article; zbMATH DE number 5982996