Boundary integration over linear polyhedra
type: Item
instance of: scholarly article
title: Boundary integration over linear polyhedra
zbMATH Open document ID: 0697.65004
DOI: 10.1016/0010-4485(90)90007-Y
published in: CAD. Computer-Aided Design
publication date: 1990-01-01T00:00:00Z
review text: Exact formulas are given for evaluating double and triple integrals of monomials over linear regular polyhedra in \({\mathbb{R}}^ 3\). The integration method presented here enables practical formulas to be obtained for the exact evaluation of the integrals \(\iint_{S}f(p)dS\quad and\quad \iiint_{P}f(p)dV,\) where S and P are linear and regular 2- or 3-polyhedra in \({\mathbb{R}}^ 3\), dS and dV are the differential surface and the differential volume, respectively. An implementation of the proposed integration methodology and a program written in Pascal are presented.
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 41A55
Mathematics Subject Classification ID: 26-04
Mathematics Subject Classification ID: 41A63
zbMATH DE Number: 4143320
zbMATH Keywords: cubature formulas
zbMATH Keywords: PASCAL program
zbMATH Keywords: double and triple integrals
zbMATH Keywords: linear regular polyhedra
author: Carlo Cattani
author: Alberto Paoluzzi
MaRDI profile type: Publication
full work available at URL: 0010-4485(90)90007-y
OpenAlex ID: W2061969387
description: scientific article; zbMATH DE number 4143320