期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 316, 期 -, 页码 497-521出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2016.07.040
关键词
Isogeometric analysis; Trimmed NURBS; Extended B-splines; Non-uniform; WEB-splines; Stabilization
资金
- Austrian Science Fund (FWF) [P24974-N30]
- Austrian Science Fund (FWF) [P24974] Funding Source: Austrian Science Fund (FWF)
We explore extended B-splines as a stable basis for isogeometric analysis with trimmed parameter spaces. The stabilization is accomplished by an appropriate substitution of B-splines that may lead to ill-conditioned system matrices. The construction for non-uniform knot vectors is presented. The properties of extended B-splines are examined in the context of interpolation, potential, and linear elasticity problems and excellent results are attained. The analysis is performed by an isogeometric boundary element formulation using collocation. It is argued that extended B-splines provide a flexible and simple stabilization scheme which ideally suits the isogeometric paradigm. (C) 2016 Published by Elsevier B.V.
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