Quasi-interpolation in isogeometric analysis based on generalized B-splines

被引：48

作者：

Costantini, Paolo ^{[1
]}

Manni, Carla ^{[2
]}

Pelosi, Francesca ^{[2
]}

Sampoli, M. Lucia ^{[1
]}

机构：

[1] Univ Siena, Dipartimento Sci Matemat & Informat, I-53100 Siena, Italy

[2] Univ Roma Tor Vergata, Dipartimento Matemat, I-00173 Rome, Italy

来源：

COMPUTER AIDED GEOMETRIC DESIGN | 2010年 / 27卷 / 08期

关键词：

Quasi-interpolation; Isogeometric analysis; Generalized B-splines;

D O I：

10.1016/j.cagd.2010.07.004

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

Isogeometric analysis is a new method for the numerical simulation of problems governed by partial differential equations. It possesses many features in common with finite element methods (FEM) but takes some inspiration from Computer Aided Design tools. We illustrate how quasi-interpolation methods can be suitably used to set Dirichlet boundary conditions in isogeometric analysis. In particular, we focus on quasi-interpolant projectors for generalized B-splines, which have been recently proposed as a possible alternative to NURBS in isogeometric analysis. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：656 / 668

页数：13

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