An efficient method to integrate polynomials over polytopes and curved solids
type: Item
instance of: scholarly article
title: An efficient method to integrate polynomials over polytopes and curved solids
zbMATH Open document ID: 1450.65027
author: Eric B. Chin
author: N. Sukumar
published in: Computer Aided Geometric Design
publication date: 2020-10-07T00:00:00Z
Mathematics Subject Classification ID: 65D30
zbMATH DE Number: 7257406
zbMATH Keywords: Euler's homogeneous function theorem
zbMATH Keywords: polyhedral mass properties
zbMATH Keywords: Bézier triangles
zbMATH Keywords: NURBS surfaces
describes a project that uses: LattE
MaRDI profile type: Publication
full work available at URL: j.cagd.2020.101914
OpenAlex ID: W3043834975
cites work: An accurate, robust, and easy-to-implement method for integration over arbitrary polyhedra: application to embedded interface methods
cites work: Fast numerical integration on polytopic meshes with applications to discontinuous Galerkin finite element methods
cites work: On the flexibility of agglomeration based physical space discontinuous Galerkin discretizations
cites work: Extended virtual element method for the Laplace problem with singularities and discontinuities
cites work: hp-Version discontinuous Galerkin methods on polygonal and polyhedral meshes
cites work: Numerical integration of homogeneous functions on convex and nonconvex polygons and polyhedra
cites work: The Numerical Evaluation of B-Splines
cites work: On calculating with B-splines
cites work: Software for exact integration of polynomials over polyhedra
cites work: High degree efficient symmetrical Gaussian quadrature rules for the triangle
cites work: The finite cell method for three-dimensional problems of solid mechanics
cites work: The octant of a sphere as a non-degenerate triangular Bézier patch
cites work: Pythagorean-hodograph curves. Algebra and geometry inseparable
cites work: The extended/generalized finite element method: An overview of the method and its applications
cites work: Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
cites work: Integration on a convex polytope
cites work: Integration and homogeneous functions
cites work: Strong and weak arbitrary discontinuities in spectral finite elements
cites work: A high-order discontinuous Galerkin method for level set problems on polygonal meshes
cites work: Geometric integration over irregular domains with application to level-set methods
cites work: A finite element method for crack growth without remeshing
cites work: The finite cell method: a review in the context of higher-order structural analysis of CAD and image-based geometric models
cites work: Quadrature schemes for arbitrary convex/concave volumes and integration of weak form in enriched partition of unity methods
cites work: Q4889891
cites work: BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
cites work: The mimetic finite difference method for elliptic problems
cites work: Q4388004
DOI: 10.1016/J.CAGD.2020.101914
description: scientific article; zbMATH DE number 7257406