Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 333, Issue -, Pages 497-534Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2018.01.023
Keywords
Mortar methods; Isogeometric analysis; Bezier extraction; Bezier projection
Funding
- Air Force Office of Scientific Research [FA9550-214-1-0113]
- Ford University Research Program
- German Research Foundation (DFG) through the Research Group FOR 1509 [MU1370/8-2]
- German Research Foundation (DFG) through Collaborative Research Centre [SFB 926]
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In this paper we develop the isogeometric Bezier dual mortar method. It is based on Bezier extraction and projection and is applicable to any spline space which can be represented in Bezier form (i.e., NURBS, T-splines, LR-splines, etc.). The approach weakly enforces the continuity of the solution at patch interfaces and the error can be adaptively controlled by leveraging the refineability of the underlying slave dual spline basis without introducing any additional degrees of freedom. As a consequence, optimal higher-order convergence rates can be achieved without the need for an expensive shared master/slave segmentation step. We also develop weakly continuous geometry as a particular application of isogeometric Bezier dual mortaring. Weakly continuous geometry is a geometry description where the weak continuity constraints are built into properly modified Bezier extraction operators. As a result, multi-patch models can be processed in a solver directly without having to employ a mortaring solution strategy. We demonstrate the utility of the approach on several challenging benchmark problems. (C) 2018 Elsevier B.V. All rights reserved.
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