PetIGA: A framework for high-performance isogeometric analysis
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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.
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Vignal, P.; Dalcin, L.; Collier, N.; Calo, Victor (2014)In this paper, we present a high-performance framework for solving partial differential equations using Isogeometric Analysis, called PetIGA, and show how it can be used to solve phase-field problems. We specifically chose ...
Bernal, L.; Calo, Victor; Collier, N.; Espinosa, G.; Fuentes, F.; Mahecha, J. (2013)In this work different nonlinear hyperelastic models for slightly compressible materials are implemented in an isogeometric finite element model. This is done within the recently developed computational framework called ...
Niemi, A.; Collier, N.; Dalcin, L.; Ghommem, M.; Calo, Victor (2012)We study a Reissner-Mindlin shell formulation for NURBS-based isogeometric analysis. The formulation is based on a shell model which utilizes curvilinear coordinates and analytic integration thorough the thickness. We ...