PetIGA-MF: a multi-field high-performance toolbox for structure-preserving B-splines spaces

Adel Sarmiento, A.M.A. Côrtes, D.A. Garcia, Lisandro Dalcin, N. Collier, V.M. Calo

Research output: Contribution to journalArticlepeer-review

28 Scopus citations


We describe a high-performance solution framework for isogeometric discrete differential forms based on B-splines: PetIGA-MF. Built on top of PetIGA, an open-source library we have built and developed over the last decade, PetIGA-MF is a general multi-field discretization tool. To test the capabilities of our implementation, we solve different viscous flow problems such as Darcy, Stokes, Brinkman, and Navier-Stokes equations. Several convergence benchmarks based on manufactured solutions are presented assuring optimal convergence rates of the approximations, showing the accuracy and robustness of our solver.
Original languageEnglish (US)
Pages (from-to)117-131
Number of pages15
JournalJournal of Computational Science
StatePublished - Oct 11 2016


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