PetIGA: A Framework for High-Performance Isogeometric Analysis

We present PetIGA, a code framework to approximate the solution of partial differential equations using isogeometric analysis. PetIGA can be used to assemble matrices and vectors which come from a Galerkin weak form, discretized with Non-Uniform Rational B-spline basis functions. We base our framewo...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2015-07
Main Authors: Dalcin, Lisandro, Collier, Nathan, Vignal, Philippe, Cortes, Adriano M A, Calo, V M
Format: Article
Language:English
Subjects:
Algorithms
Basis functions
Computational fluid dynamics
Computer simulation
Fluid mechanics
Galerkin method
Mathematical analysis
Matrix algebra
Matrix methods
Nonlinear differential equations
Nonlinear equations
Partial differential equations
Prototyping
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We present PetIGA, a code framework to approximate the solution of partial differential equations using isogeometric analysis. PetIGA can be used to assemble matrices and vectors which come from a Galerkin weak form, discretized with Non-Uniform Rational B-spline basis functions. We base our framework on PETSc, a high-performance library for the scalable solution of partial differential equations, which simplifies the development of large-scale scientific codes, provides a rich environment for prototyping, and separates parallelism from algorithm choice. We describe the implementation of PetIGA, and exemplify its use by solving a model nonlinear problem. To illustrate the robustness and flexibility of PetIGA, we solve some challenging nonlinear partial differential equations that include problems in both solid and fluid mechanics. We show strong scaling results on up to 4096 cores, which confirm the suitability of PetIGA for large scale simulations.
ISSN:2331-8422