arxiv: 1602.08727 · v1 · pith:74A4YJX7new · submitted 2016-02-28 · 🧮 math.NA

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

A. F. Sarmiento , A. M. A. Cortes , D. A. Garcia , L. Dalcin , N. Collier , V. M. Calo This is my paper

classification 🧮 math.NA

keywords petiga-mfb-splinesconvergencehigh-performancemulti-fieldaccuracyapproximationsassuring

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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.

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

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