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Efficient finite element methodology based on cartesian grids: application to structural shape optimization

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Efficient finite element methodology based on cartesian grids: application to structural shape optimization

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Nombre: E. Nadal;J.J. ...
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dc.contributor.author Nadal, E. es_ES
dc.contributor.author Ródenas, J.J. es_ES
dc.contributor.author Albelda Vitoria, José es_ES
dc.contributor.author Tur Valiente, Manuel es_ES
dc.contributor.author Tarancón Caro, José Enrique es_ES
dc.contributor.author Fuenmayor Fernández, Francisco Javier es_ES
dc.date.accessioned 2015-03-03T15:15:19Z
dc.date.available 2015-03-03T15:15:19Z
dc.date.issued 2013-02
dc.identifier.issn 1085-3375
dc.identifier.uri http://hdl.handle.net/10251/47650
dc.description.abstract This work presents an analysis methodology based on the use of the Finite Element Method (FEM) nowadays considered one of the main numerical tools for solving Boundary Value Problems (BVPs). The proposed methodology, so-called cg-FEM (Cartesian grid FEM), has been implemented for fast and accurate numerical analysis of 2D linear elasticity problems. The traditional FEM uses geometry-conforming meshes; however, in cg-FEM the analysis mesh is not conformal to the geometry. This allows for defining very efficient mesh generation techniques and using a robust integration procedure, to accurately integrate the domain's geometry. The hierarchical data structure used in cg-FEM together with the Cartesian meshes allow for trivial data sharing between similar entities. The cg-FEM methodology uses advanced recovery techniques to obtain an improved solution of the displacement and stress fields (for which a discretization error estimator in energy norm is available) that will be the output of the analysis. All this results in a substantial increase in accuracy and computational efficiency with respect to the standard FEM. cg-FEM has been applied in structural shape optimization showing robustness and computational efficiency in comparison with FEM solutions obtained with a commercial code, despite the fact that cg-FEM has been fully implemented in MATLAB. es_ES
dc.description.sponsorship This work has been developed within the framework of research project DPI2010-20542 of the Ministerio de Economia y Competitividad (Spain). The financial support of the FPU program (AP2008-01086), the funding from Universitat Politecnica de Valencia, and Generalitat Valenciana (PROMETEO/2012/023) are also acknowledged. The authors also thank the support of the Framework Programme 7 Initial Training Network Funding under Grant no. 289361 "Integrating Numerical Simulation and Geometric Design Technology." en_EN
dc.language Inglés es_ES
dc.publisher Hindawi Publishing Corporation es_ES
dc.relation.ispartof Abstract and Applied Analysis es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject SUPERCONVERGENT PATCH RECOVERY es_ES
dc.subject ACOUSTIC SCATTERING es_ES
dc.subject DOMAIN DECOMPOSITION METHOD es_ES
dc.subject SIMPLE ERROR ESTIMATOR es_ES
dc.subject CRACK-GROWTH es_ES
dc.subject MULTIPOINT CONSTRAINTS es_ES
dc.subject BOUNDARY-CONDITIONS es_ES
dc.subject PART I es_ES
dc.subject APPROXIMATION es_ES
dc.subject EQUILIBRIUM es_ES
dc.subject.classification INGENIERIA MECANICA es_ES
dc.title Efficient finite element methodology based on cartesian grids: application to structural shape optimization es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1155/2013/953786
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//DPI2010-20542/ES/DESARROLLO DE HERRAMIENTA 3D COMPUTACIONALMENTE EFICAZ Y DE ALTA PRECISION PARA ANALISIS Y DISEÑO ESTRUCTURAL BASADA EN MALLADOS CARTESIANOS DE EF INDEPENDIENTES DE GEOMETRIA/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/EC/FP7/289361/EU/Integrating Numerical Simulation and Geometric Design Technology/ en_EN
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//AP2008-01086/ES/AP2008-01086/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//PROMETEO%2F2012%2F023/ES/MODELADO NUMERICO AVANZADO EN INGENIERIA MECANICA/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Ingeniería Mecánica y de Materiales - Departament d'Enginyeria Mecànica i de Materials es_ES
dc.description.bibliographicCitation Nadal, E.; Ródenas, J.; Albelda Vitoria, J.; Tur Valiente, M.; Tarancón Caro, JE.; Fuenmayor Fernández, FJ. (2013). Efficient finite element methodology based on cartesian grids: application to structural shape optimization. Abstract and Applied Analysis. 2013:1-19. https://doi.org/10.1155/2013/953786 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1155/2013/953786 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 19 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 2013 es_ES
dc.relation.senia 251796
dc.identifier.eissn 1687-0409
dc.contributor.funder Generalitat Valenciana es_ES
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