期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 221, 期 -, 页码 132-148出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2012.02.009
关键词
Powell-Sabin splines; Advection-diffusion-reaction equations; Local refinements; Isogeometric analysis
This paper presents the use of Powell-Sabin splines in the context of isogeometric analysis for the numerical solution of advection-diffusion-reaction equations. Powell-Sabin splines are piecewise quadratic C-1 functions defined on a given triangulation with a particular macro-structure. We discuss the Galerkin discretization based on a normalized Powell-Sabin B-spline basis. We focus on the accurate detection of internal and boundary layers, and on local refinements. We apply the approach to several test problems, and we illustrate its effectiveness by a comparison with classical finite element and recent isogeometric analysis procedures. (C) 2012 Elsevier B.V. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据