CIMEC   24726
CENTRO DE INVESTIGACION DE METODOS COMPUTACIONALES
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
PetIGA: Solution of Higher Order Partial Differential Equations
Autor/es:
PHILIPPE VIGNAL; LISANDRO DALCIN; NATHAN COLLIER; VICTOR CALO
Lugar:
Vrnjačka Banja
Reunión:
Congreso; 4th International Congress of Serbian Society of Mechanics; 2013
Institución organizadora:
Serbian Society of Mechanics
Resumen:
In this paper, a high-performance isogeometric analysis framework for solving partial differential equations is presented. It is called PetIGA, and in this work is used to solve the phase-field-crystal equation. This is a sixth-order, nonlinear, time-dependent, partial differential equation. The framework is heavily based on PETSc, a scientific library geared towards the implementation of scalable solvers needed to approximate solutions to partial differential equations. PetIGA an open source library, that can be used to assemble matrices and vectors coming from a Galerkin weak form, discretized using B-spline basis functions and NURBS. The phase-field-crystal formulation that is dealt with in this work cannot be solved using standard finite element technologies, as it requires the use of higher- order continuous basis functions and H^2 conforming spaces.