Quadratic serendipity finite elements over convex polyhedra
type: Item
instance of: scholarly article
title: Quadratic serendipity finite elements over convex polyhedra
zbMATH Open document ID: 1548.74898
author: A. Sinu
author: S. Natarajan
author: Krishnan Shankar
published in: International Journal for Numerical Methods in Engineering
publication date: 2024-06-18T00:00:00Z
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 7867258
zbMATH Keywords: mesh distortion
zbMATH Keywords: numerical integration
zbMATH Keywords: planar distortion
zbMATH Keywords: polytope elements
zbMATH Keywords: quadratic serendipity
MaRDI profile type: Publication
cites work: Conforming polygonal finite elements
cites work: Recent advances in the construction of polygonal finite element interpolants
cites work: A displacement-based finite element formulation for general polyhedra using harmonic shape functions
cites work: A Rational Basis for Function Approximation
cites work: Natural neighbor Galerkin methods
cites work: Pseudo-Harmonic Interpolation on Convex Domains
cites work: Mean value coordinates in 3D
cites work: Quadratic maximum-entropy serendipity shape functions for arbitrary planar polygons
cites work: The scaled boundary finite-element method -- a fundamental solution-less boundary-element method
cites work: A virtual element method with arbitrary regularity
cites work: Linear smoothed polygonal and polyhedral finite elements
cites work: Higher Order BEM-Based FEM on Polygonal Meshes
cites work: p-adaptive \(\text C^{k}\) generalized finite element method for arbitrary polygonal clouds
cites work: Hourglass stabilization and the virtual element method
cites work: Virtual and smoothed finite elements: A connection and its application to polygonal/polyhedral finite element methods
cites work: Quadratic serendipity finite elements on polygons using generalized barycentric coordinates
cites work: Polygonal spline spaces and the numerical solution of the Poisson equation
cites work: BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
cites work: The Hitchhiker's Guide to the Virtual Element Method
cites work: A novel unsymmetric 8-node plane element immune to mesh distortion under a quadratic displacement field
cites work: A 20‐node hexahedron element with enhanced distortion tolerance
cites work: Mesh-distortion immunity assessment of QUAD8 elements by strong-form patch tests
cites work: A technique to develop mesh-distortion immune finite elements
cites work: Q4453657
cites work: Barycentric coordinates for convex sets
cites work: Gradient Bounds for Wachspress Coordinates on Polytopes
cites work: On the approximation in the smoothed finite element method (SFEM)
cites work: Numerical integration over arbitrary polygonal domains based on Schwarz-Christoffel conformal mapping
cites work: Gauss-Green cubature and moment computation over arbitrary geometries
cites work: Generalized Gaussian quadrature rules on arbitrary polygons
cites work: Adaptively weighted numerical integration over arbitrary domains
cites work: A smoothed finite element method for mechanics problems
cites work: On the performance of strain smoothing for quadratic and enriched finite element approximations (XFEM/GFEM/PUFEM)
cites work: \texttt{PolyTop}: a Matlab implementation of a general topology optimization framework using unstructured polygonal finite element meshes
cites work: Addressing integration error for polygonal finite elements through polynomial projections: A patch test connection
cites work: Numerical integration of homogeneous functions on convex and nonconvex polygons and polyhedra
cites work: Theory of elasticity.
cites work: Efficient recovery-based error estimation for the smoothed finite element method for smooth and singular linear elasticity
DOI: 10.1002/NME.5605
description: scientific article; zbMATH DE number 7867258