Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 316, Issue -, Pages 424-448Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2016.07.029
Keywords
Isogeometric analysis; Adaptive mesh refinement; T-splines; Truncated hierarchical B-splines
Funding
- Deutsche Forschungsgemeinschaft [KA3309/3-1, PE2143/2-1]
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We explain four variants of an adaptive finite element method with cubic splines and compare their performance in simple elliptic model problems. The methods in comparison are Truncated Hierarchical B-splines with two different refinement strategies, T-splines with the refinement strategy introduced by Scott et al. in 2012, and T-splines with an alternative refinement strategy introduced by some of the authors. In four examples, including singular and non-singular problems of linear elasticity and the Poisson problem, the Hi-errors of the discrete solutions, the number of degrees of freedom as well as sparsity patterns and condition numbers of the discretized problem are compared. The quantitative results of this paper can help the reader to choose the most appropriate refinement method for the application. (C) 2016 Elsevier B.V. All rights reserved.
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