期刊
COMPUTER AIDED GEOMETRIC DESIGN
卷 81, 期 -, 页码 -出版社
ELSEVIER
DOI: 10.1016/j.cagd.2020.101906
关键词
Isogeometric analysis; T-splines; Adaptivity; Optimal convergence rates
资金
- Austrian Science Fund (FWF) [P29096, W1245, J4379]
- Austrian Science Fund (FWF) [P29096, J4379] Funding Source: Austrian Science Fund (FWF)
We consider an adaptive algorithm for finite element methods for the isogeometric analysis (IGAFEM) of elliptic (possibly non-symmetric) second-order partial differential equations. We employ analysis-suitable T-splines of arbitrary odd degree on T-meshes generated by the refinement strategy of Morgenstern and Peterseim (2015) in 2D and Morgenstern (2016) in 3D. Adaptivity is driven by some weighted residual a posteriori error estimator. We prove linear convergence of the error estimator (which is equivalent to the sum of energy error plus data oscillations) with optimal algebraic rates with respect to the number of elements of the underlying mesh. (C) 2020 The Author(s). Published by Elsevier B.V.
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