A balancing domain decomposition by constraints (BDDC) preconditioner with a novel scaling, introduced by Dohrmann for problems with more than one variable coefficient and here denoted as deluxe scaling, is extended to isogeometric analysis of scalar elliptic problems. This new scaling turns out to be more powerful than the standard ?- and stiffness scalings considered in a previous isogeometric BDDC study. Our h-analysis shows that the condition number of the resulting deluxe BDDC preconditioner is scalable with a quasi-optimal polylogarithmic bound which is also independent of coefficient discontinuities across subdomain interfaces. Extensive numerical experiments support the theory and show that the deluxe scaling yields a remarkable improvement over the older scalings, in particular for large isogeometric polynomial degree and high regularity.
Isogeometric BDDC Preconditioning with Deluxe Scaling / L. Beirao da Veiga, L. Pavarino, S. Scacchi, O.B. Widlund, S. Zampini. - In: SIAM JOURNAL ON SCIENTIFIC COMPUTING. - ISSN 1064-8275. - 36:3(2014), pp. A1118-A1139.
|Titolo:||Isogeometric BDDC Preconditioning with Deluxe Scaling|
BEIRAO DA VEIGA, LOURENCO (Primo)
|Parole Chiave:||BDDC preconditioners; Domain decomposition; Elliptic problems; Isogeometric analysis|
|Settore Scientifico Disciplinare:||Settore MAT/08 - Analisi Numerica|
|Data di pubblicazione:||2014|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1137/130917399|
|Appare nelle tipologie:||01 - Articolo su periodico|