PGD-Based Computational Vademecum for Efficient Design, Optimization and Control

• DOI: 10.1007/s11831-013-9080-x
• Publication Date: 2013-01-29T12:49:36Z
• Authors: F. Chinesta; A. Leygue; F. Bordeu; J. V. Aguado; E. Cueto; D. Gonzalez; I. Alfaro; A. Ammar; A. Huerta
• Keywords: Optimization; Engineering, Civil; Design; [SPI] Engineering Sciences [physics]; Engineering, Multidisciplinary; Operations research; Investigació operativa; [SPI.MECA] Engineering Sciences [physics]/Mechanics [physics.med-ph]; 01 natural sciences; Computational Vademecum; Sciences de l'ingénieur: Mécanique: Mécanique des structures; [SPI]Engineering Sciences [physics]; Engineering, Ocean; 0101 mathematics; Engineering, Aerospace; Engineering, Biomedical; PGD; Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Optimització; [SPI.MECA]Engineering Sciences [physics]/Mechanics [physics.med-ph]; Computer Science, Software Engineering; Engineering, Marine; 90B Operations research and management science; 004; Mathématique: Analyse numérique; Engineering, Manufacturing; Engineering, Mechanical; Engineering, Industrial; Chimie: Polymères; :Matemàtiques i estadística::Investigació operativa::Optimització [Àrees temàtiques de la UPC]

Peer Reviewed<br/>D espite the impressive progresses attained by simulation capabilities and techniques, some challenging problems remain today intractable. These prob- lems, that are common to many branches of science and engineering, are of differ- ent nature. Among them, we can cite those related to high-dimensional models, on which mesh-based approaches fail due to the exponential increase of degrees of freedom. Other challenging scenarios concern problems requiring many direct solutions (optimization, inverse identifica- tion, uncertainty quantification ! ) or those needing very fast solutions (real time simulation, simulation based control ! ).<br/>