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Polytopal composite finite elements (Q1988228)

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scientific article; zbMATH DE number 7189964

Language	Label	Description	Also known as
English	Polytopal composite finite elements	scientific article; zbMATH DE number 7189964

Statements

scholarly article

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Polytopal composite finite elements (English)

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Computer Methods in Applied Mechanics and Engineering

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publication date

16 April 2020

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zbMATH Keywords

finite elements

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polytope

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elasticity

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incompressibility

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patch test

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inf-sup

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describes a project that uses

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MaRDI profile type

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full work available at URL

https://doi.org/10.1016/j.cma.2019.06.030

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Elastic-plastic analysis of arbitrary heterogeneous materials with the Voronoi cell finite element method

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A polygonal element approach to random heterogeneous media with rigid ellipses or elliptical voids

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Conforming polygonal finite elements

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A displacement-based finite element formulation for general polyhedra using harmonic shape functions

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Polygonal finite elements for topology optimization: A unifying paradigm

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\texttt{PolyTop}: a Matlab implementation of a general topology optimization framework using unstructured polygonal finite element meshes

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Polygonal finite elements for incompressible fluid flow

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Extended finite element method on polygonal and quadtree meshes

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Polygon scaled boundary finite elements for crack propagation modelling

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Polygonal finite elements for finite elasticity

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A paradigm for higher-order polygonal elements in finite elasticity using a gradient correction scheme

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A new polyhedral element for the analysis of hexahedral-dominant finite element models and its application to nonlinear solid mechanics problems

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A polytree-based adaptive approach to limit analysis of cracked structures

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A brief review on polygonal/polyhedral finite element methods

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A rational finite element basis

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Mean value coordinates

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A general construction of barycentric coordinates over convex polygons

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Recent advances in the construction of polygonal finite element interpolants

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Numerical integration over arbitrary polygonal domains based on Schwarz-Christoffel conformal mapping

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Generalized Gaussian quadrature rules on arbitrary polygons

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Numerical integration of polynomials and discontinuous functions on irregular convex polygons and polyhedrons

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Numerical integration of homogeneous functions on convex and nonconvex polygons and polyhedra

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Discontinuous Galerkin methods with nodal and hybrid modal/nodal triangular, quadrilateral, and polygonal elements for nonlinear shallow water flow

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hp-Version discontinuous Galerkin methods on polygonal and polyhedral meshes

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Gradient correction for polygonal and polyhedral finite elements

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BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS

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Virtual elements for linear elasticity problems

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New perspectives on polygonal and polyhedral finite element methods

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High-order polygonal discontinuous Petrov-Galerkin (PolyDPG) methods using ultraweak formulations

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Fast numerical integration on polytopic meshes with applications to discontinuous Galerkin finite element methods

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A conforming finite element for plate bending

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Displacement and equilibrium models in the finite element method. (Introduction remarks by O. C. Zienkiewicz).

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Composite finite elements for the approximation of PDEs on domains with complicated micro-structures

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Tetrahedral composite finite elements

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A 10-node composite tetrahedral finite element for solid mechanics

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Finite element method. Vol. 1: The basis.

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Addressing integration error for polygonal finite elements through polynomial projections: A patch test connection

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Efficient virtual element formulations for compressible and incompressible finite deformations

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A stress/displacement virtual element method for plane elasticity problems

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Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement

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Gradient Bounds for Wachspress Coordinates on Polytopes

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Shape functions for polygonal domains with interior nodes

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A stable finite element for the Stokes equations

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The inf-sup test

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A variationally consistent αFEM (VCαFEM) for solution bounds and nearly exact solution to solid mechanics problems using quadrilateral elements

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.CMA.2019.06.030

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Sitelinks

Mathematics(1 entry)

mardi Publication:1988228

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