To access the full text documents, please follow this link:

SUPG-based stabilization using a separated representations approach
González, D.; Debeugny, L.; Cueto, E.; Chinesta, F.; Díez, Pedro; Huerta, Antonio
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III; Universitat Politècnica de Catalunya. LACÀN - Centre Específic de Recerca de Mètodes Numèrics en Ciències Aplicades i Enginyeria
We have developed a new method for the construction of Streamline Upwind Petrov Galerkin (SUPG) stabilization techniques for the resolution of convection-diffusion equations based on the use of separated representations inside the Proper Generalized Decompositions (PGD) framework. The use of SUPG schemes produces a consistent stabilization adding a parameter to all the terms of the equation (not only the convective one). SUPG obtains an exact solution for problems in 1D, nevertheless, a generalization does not exist for elements of high order or for any system of convection-diffusion equations. We introduce in this paper a method that achieves stabilization in the context of Proper Generalzied Decomposition (PGD). This class of approximations use a representation of the solution by means of the sum of a finite number of terms of separable functions. Thus it is possible to use the technique of separation of variables in the context of problems of convection-diffusion that will lead to a sequence of problems in 1D where the parameter of stabilization is well known.
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics
Numerical methods and algorithms
Finite element method
Differential equations, Partial
Anàlisi numèrica
Elements finits, Mètode dels
Equacions diferencials parcials

Show full item record

Related documents

Other documents of the same author

Cueto, E.; Huerta, Antonio; Chinesta, Francisco
Asaad Ammaar, Mouafk; Chinesta, F.; Díez, F.; Huerta, Antonio
Quesada, C.; González, D.; Alfaro, Icíar; Cueto Prendes, Elias; Huerta, Antonio; Chinesta, Francisco
Chinesta, Francisco; Leygue, Adrien; Bordeu, F.; Cueto Prendes, Elias; González, David; Alfaro, Icíar; Ammar, Amine; Huerta, Antonio; Díez, Pedro