PetIGA-MF: a multi-field high-performance toolbox for   structure-preserving B-splines spaces
  We describe the development of a high-performance solution framework for isogeometric discrete differential forms based on B-splines: PetIGA-MF. Built on top of PetIGA, 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. 
A. F. Sarmiento, A. M. A. Cortes, D. A. Garcia, L. Dalcin, N. Collier,   V. M. Calo
math.NA