@article {irs17-01,
	title = {BPX preconditioners for isogeometric analysis using analysis-suitable T-splines},
	number = {17-01},
	year = {2017},
	month = {January},
	pages = {32 p.},
	publisher = {CNR-IMATI},
	type = {Working paper},
	address = {Pavia},
	abstract = {<p>We propose and analyze optimal additive multilevel solvers for isogeometric discretizations of scalar elliptic problems for locally refined T-meshes. Applying the refinement strategy in Morgenstern and Peterseim, Comput. Aided Geom. Design, 34 (2015), we can guarantee that the obtained T-meshes are p-admissible, which implies that the associated T-splines are analysis suitable. Taking advantage of the multilevel structure of p-admissible T-meshes, we develop a BPX preconditioner on the basis of local smoothing only for the functions affected by a newly added edge by bisection, and prove that our method has optimal complexity. Several numerical experiments confirm our theoretical result and also show the practical performance of the proposed preconditioner.</p>
},
	keywords = {T-splines},
	doi = {https://doi.org/10.1093/imanum/dry032},
	url = {http://irs.imati.cnr.it/reports/irs17-01},
	author = {D. Cho and R. V{\'a}zquez}
}
