PetIGA-MF: a multi-field high-performance toolbox for structure-preserving B-splines spaces
Numerical Analysis
2016-03-01 v1
Abstract
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.
Cite
@article{arxiv.1602.08727,
title = {PetIGA-MF: a multi-field high-performance toolbox for structure-preserving B-splines spaces},
author = {A. F. Sarmiento and A. M. A. Cortes and D. A. Garcia and L. Dalcin and N. Collier and V. M. Calo},
journal= {arXiv preprint arXiv:1602.08727},
year = {2016}
}