Name
Title | ||
|---|---|---|
PetIGA-MF: A multi-field high-performance toolbox for structure-preserving B-splines spaces. |
Abstract | ||
|---|---|---|
Abstract 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. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1016/j.jocs.2016.09.010 | Journal of Computational Science |
Keywords | Field | DocType |
Isogeometric analysis,Discrete differential forms,Structure-preserving discrete spaces,Multi-field discretizations,PetIGA,High-performance computing | Convergence (routing),Spline (mathematics),Discretization,Mathematical optimization,Supercomputer,Computer science,Isogeometric analysis,Differential form,Robustness (computer science),Theoretical computer science,Solver | Journal |
Volume | ISSN | Citations |
18 | 1877-7503 | 7 |
PageRank | References | Authors |
1.05 | 6 | 6 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Adel Sarmiento | 1 | 14 | 2.86 |
| Adriano M. A. Côrtes | 2 | 7 | 1.05 |
| Daniel Garcia | 3 | 9 | 2.17 |
| Lisandro Dalcín | 4 | 128 | 18.25 |
| Nathaniel O. Collier | 5 | 29 | 5.30 |
| Victor M. Calo | 6 | 191 | 38.14 |