Fast isogeometric boundary element method based on independent field approximation

被引：128
作者：
Marussig, Benjamin [1 ]
Zechner, Juergen [1 ]
Beer, Gernot [1 ,2 ]
Fries, Thomas-Peter [1 ]
机构：
[1] Graz Univ Technol, Inst Struct Anal, A-8010 Graz, Austria
[2] Univ Newcastle, Ctr Geotech & Mat Modelling, Callaghan, NSW 2308, Australia
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2015年 / 284卷
基金：
奥地利科学基金会;
关键词：
Subparametric formulation; Isogeometric analysis; Hierarchical matrices; Elasticity; NURBS; Convergence; STRONGLY ELLIPTIC-EQUATIONS; SPLINE COLLOCATION; ASYMPTOTIC CONVERGENCE; INTEGRAL-EQUATIONS; H-MATRICES; B-SPLINES; HIERARCHICAL MATRICES; BLENDING FUNCTIONS; EVEN DEGREE; BEM;
D O I：
10.1016/j.cma.2014.09.035
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
An isogeometric boundary element method for problems in elasticity is presented, which is based on an independent approximation for the geometry, traction and displacement field. This enables a flexible choice of refinement strategies, permits an efficient evaluation of geometry related information, a mixed collocation scheme which deals with discontinuous tractions along non-smooth boundaries and a significant reduction of the right hand side of the system of equations for common boundary conditions. All these benefits are achieved without any loss of accuracy compared to conventional isogeometric formulations. The system matrices are approximated by means of hierarchical matrices to reduce the computational complexity for large scale analysis. For the required geometrical bisection of the domain, a strategy for the evaluation of bounding boxes containing the supports of NURBS basis functions is presented. The versatility and accuracy of the proposed methodology are demonstrated by convergence studies showing optimal rates and real world examples in two and three dimensions. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码：458 / 488
页数：31
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