ISOGEOMETRIC COLLOCATION METHODS

被引：311

作者：

Auricchio, F. ^{[1
]}

Da Veiga, L. Beirao ^{[2
]}

Hughes, T. J. R. ^{[3
]}

Reali, A. ^{[1
]}

Sangalli, G. ^{[4
]}

机构：

[1] Univ Pavia, Dept Struct Mech, I-27100 Pavia, Italy

[2] Univ Milan, Math Dept F Enriques, I-20122 Milan, Italy

[3] Univ Texas Austin, Inst Computat Engn & Sci, Austin, TX 78712 USA

[4] Univ Pavia, Dept Math, I-27100 Pavia, Italy

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2010年 / 20卷 / 11期

基金：

欧洲研究理事会;

关键词：

Isogeometric analysis; collocation methods; non-uniform rational B-splines; ASYMPTOTIC CONVERGENCE; FINITE-ELEMENTS; CONTINUITY; NURBS;

D O I：

10.1142/S0218202510004878

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We initiate the study of collocation methods for NURBS-based isogeometric analysis. The idea is to connect the superior accuracy and smoothness of NURBS basis functions with the low computational cost of collocation. We develop a one-dimensional theoretical analysis, and perform numerical tests in one, two and three dimensions. The numerical results obtained confirm theoretical results and illustrate the potential of the methodology.

引用

页码：2075 / 2107

页数：33

共 29 条

[21] SPLINE INTERPOLATION AT KNOT AVERAGES [J].