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SUPG-based stabilization using a separated representations approach
dc.contributor.author | González, D. |
dc.contributor.author | Debeugny, L. |
dc.contributor.author | Cueto, E. |
dc.contributor.author | Chinesta, F. |
dc.contributor.author | Díez, Pedro |
dc.contributor.author | Huerta, Antonio |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
dc.date.accessioned | 2010-11-11T12:44:52Z |
dc.date.available | 2010-11-11T12:44:52Z |
dc.date.created | 2010-04 |
dc.date.issued | 2010-04 |
dc.identifier.citation | González, D. [et al.]. SUPG-based stabilization using a separated representations approach. "International journal of material forming", Abril 2010, vol. 3, núm. 1, p. 883-886. |
dc.identifier.issn | 1960-6206 |
dc.identifier.uri | http://hdl.handle.net/2117/10251 |
dc.description.abstract | 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. |
dc.format.extent | 4 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics |
dc.subject.lcsh | Numerical methods and algorithms |
dc.subject.lcsh | Finite element method |
dc.subject.lcsh | Differential equations, Partial |
dc.title | SUPG-based stabilization using a separated representations approach |
dc.type | Article |
dc.subject.lemac | Anàlisi numèrica |
dc.subject.lemac | Elements finits, Mètode dels |
dc.subject.lemac | Equacions diferencials parcials |
dc.contributor.group | Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
dc.identifier.doi | 10.1007/s12289-010-0909-7 |
dc.rights.access | Open Access |
local.identifier.drac | 2748590 |
dc.description.version | Postprint (published version) |
local.citation.author | González, D.; Debeugny, L.; Cueto, E.; Chinesta, F.; Díez, P.; Huerta, A. |
local.citation.publicationName | International journal of material forming |
local.citation.volume | 3 |
local.citation.number | 1 |
local.citation.startingPage | 883 |
local.citation.endingPage | 886 |
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