A proper generalized decomposition approach for high-order problems

作者：Quesada C^*; Xu G; Gonzalez D; Alfaro I; Leygue A; Visonneau M; Cueto E; Chinesta F

来源：Revista Internacional de Metodos Numericos Para Calculo y Diseno en Ingenieria, 2015, 31(3): 188-197.

DOI：10.1016/j.rimni.2014.09.001

• Model order reduction
• Proper generalized decompositions
• Hermite
• Chebyshev

In this paper two different approximations for the solution of high-order problems by proper generalized decompositions (PGD) are developed. The first one is based upon the use of collocation techniques, along with Chebyshev polynomials, while the second employs Hermite polynomials in a Galerkin framework. Both approaches having pros and cons, they are studied with the help of some classical benchmark tests.

• 出版日期2015