2026-04-13T13:28:03Zhttps://recercat.cat/oai/request

oai:recercat.cat:2099.1/142532025-07-22T16:49:21Zcom_2072_1033col_2072_452951

The computation of rigorous upper and lower bounds for functional outputs of finite element solutions in large strain elasticity Ciria Suárez, Héctor Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III Peraire Guitart, Jaume Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits Structural design Structural analysis (Engineering) Disseny d'estructures per elements finits Estructures, Teoria de les A finite element a posteriori method to compute rigorous inexpensive upper and lower bounds for engineering outputs of interest, in the field of large strain elasticity, is presented. Based on a general Lagrangian formulation, the bound computation requires global calculations on a finite element coarse mesh and the solution of local decoupled Neumann problems over each element of previous mesh. A new procedure to solve local problems is introduced, whereby bounds are computed locally over the continua for the exact solution in a completely analytical manner. The resulting method shows a considerable gain in computational performance and, besides being robust, can easily be incorporated into existing finite element codes without major modifications. 2002 Minor thesis https://hdl.handle.net/2099.1/14253 eng http://creativecommons.org/licenses/by-nc-nd/3.0/es/ Open Access Attribution-NonCommercial-NoDerivs 3.0 Spain application/pdf application/pdf application/pdf Universitat Politècnica de Catalunya