2012
DOI: 10.1016/j.cma.2012.08.007
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Abstract: Highlights► A new IsogEometric Tearing and Interconnecting (IETI) method is proposed. ► Exact geometry representation of IGA and solver design of FETI methods are combined. ► Coupling conditions for interfaces, including hanging knots, are discussed. ► Efficient preconditioning techniques for the interface problem are presented. ► Some local refinement options for IGA are discussed.

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Cited by 132 publications
(100 citation statements)
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“…We now show how this framework can be used to construct a BPX-preconditioner for the linear systems deriving from the problem (16). To this aim, we need to construct a sequence of spaces satisfying (18), and such that V J = V r h .…”
Section: Bpx For Isogeometric Analysismentioning
confidence: 99%
See 1 more Smart Citation
“…We now show how this framework can be used to construct a BPX-preconditioner for the linear systems deriving from the problem (16). To this aim, we need to construct a sequence of spaces satisfying (18), and such that V J = V r h .…”
Section: Bpx For Isogeometric Analysismentioning
confidence: 99%
“…The type of schemes for which this can be shown are the so-called additive preconditioners like the wavelet preconditioner and the BPX-preconditioner [9] whose optimality was proved independently in [10,20], multiplicative versions like multigrid [7,13], and algebraic multilevel iteration (AMLI) methods [1,2]. Multigrid preconditioners for isogeometric analysis have been analysed in [12], whereas domain decomposition type preconditioners have been proposed in [4,5,16].…”
Section: Introductionmentioning
confidence: 99%
“…The annulus is particularly well suited for our method, since it is a "rank one domain" in the sense that using R = 1 is sufficient. The multipatch "yeti footprint" domain, which was taken from [14], is a harder benchmark, since the patches do not have any symmetries. We assemble the mass and stiffness of the underlying tensor B-spline basis.…”
Section: Numerical Resultsmentioning
confidence: 99%
“…The domain is a "footprint" domain parameterized by 21 patches (Figure 3) introduced in [14]. All the patches have a number of interior knots per direction, ranging from one to three.…”
Section: Yeti Footprintmentioning
confidence: 99%
“…The study of DDM in the framework of the IGA is carried out in [ASWB14], where various techniques such as the penalty approach, Lagrange multiplier method, perturbed Lagrange method and the Nitsche methods for joining the domains are discussed. The IETI method proposed in [KPJT12] is another technique used to join domains with C 0 continuity in the framework of the NURBS based IGA.…”
Section: Introductionmentioning
confidence: 99%