The coupling of geometric descriptions and finite elements using NURBs - A study in shape optimization
type: Item
instance of: scholarly article
title: The coupling of geometric descriptions and finite elements using NURBs - A study in shape optimization
zbMATH Open document ID: 0801.73074
DOI: 10.1016/0168-874X(93)90067-Z
author: Uwe Schramm
author: W. D. Pilkey
published in: Finite Elements in Analysis and Design
publication date: 1994-08-02T00:00:00Z
review text: This paper presents a geometry based approach for coupling CAD with finite element methods. Nonuniform rational \(B\)-splines (NURBs), known from computer aided geometric design, are used to describe the shape of a structure. NURB curves and surfaces and Gordon surfaces defined by NURB curves are introduced for design description. These geometries are used directly for the mapping of finite elements and for parametrization for the optimization of the structural shape. The cross-sectional torsion problem is employed to demonstrate the proposed mapping techniques for finite elements.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74P99
zbMATH DE Number: 612067
zbMATH Keywords: nonuniform rational \(B\)-splines
zbMATH Keywords: mapping techniques
zbMATH Keywords: NURB curves
zbMATH Keywords: Gordon surfaces
zbMATH Keywords: parametrization
zbMATH Keywords: cross-sectional torsion
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 612067