Objectif The simulation of Partial Differential Equations (PDEs) is an indispensable tool for innovation in science and technology.Computer-based simulation of PDEs approximates unknowns defined on a geometrical entity such as the computational domain with all of its properties. Mainly due to historical reasons, geometric design and numerical methods for PDEs have been developed independently, resulting in tools that rely on different representations of the same objects.CHANGE aims at developing innovative mathematical tools for numerically solving PDEs and for geometric modeling and processing, the final goal being the definition of a common framework where geometrical entities and simulation are coherently integrated and where adaptive methods can be used to guarantee optimal use of computer resources, from the geometric description to the simulation. We will concentrate on two classes of methods for the discretisation of PDEs that are having growing impact: isogeometric methods and variational methods on polyhedral partitions. They are both extensions of standard finite elements enjoying exciting features, but both lack of an ad-hoc geometric modelling counterpart. We will extend numerical methods to ensure robustness on the most general geometric models, and we will develop geometric tools to construct, manipulate and refine such models. Based on our tools, we will design an innovative adaptive framework, that jointly exploits multilevel representation of geometric entities and PDE unknowns. Moreover, efficient algorithms call for efficient implementation: the issue of the optimisation of our algorithms on modern computer architecture will be addressed. Our research (and the team involved in the project) will combine competencies in computer science, numerical analysis, high performance computing, and computational mechanics. Leveraging our innovative tools, we will also tackle challenging numerical problems deriving from bio-mechanical applications. Champ scientifique natural sciencescomputer and information sciencesnatural sciencesmathematicspure mathematicsgeometrynatural sciencesmathematicspure mathematicsmathematical analysisdifferential equationspartial differential equationsengineering and technologyelectrical engineering, electronic engineering, information engineeringelectronic engineeringcomputer hardwaresupercomputersnatural sciencesmathematicsapplied mathematicsnumerical analysis Mots‑clés Numerical methods for PDEs isogeometric methods numerical methods on polyhedral meshes geometric modeling and processing Programme(s) H2020-EU.1.1. - EXCELLENT SCIENCE - European Research Council (ERC) Main Programme Thème(s) ERC-ADG-2015 - ERC Advanced Grant Appel à propositions ERC-2015-AdG Voir d’autres projets de cet appel Régime de financement ERC-ADG - Advanced Grant Institution d’accueil ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE Contribution nette de l'UE € 810 471,24 Adresse BATIMENT CE 3316 STATION 1 1015 Lausanne Suisse Voir sur la carte Région Schweiz/Suisse/Svizzera Région lémanique Vaud Type d’activité Higher or Secondary Education Establishments Liens Contacter l’organisation Opens in new window Site web Opens in new window Participation aux programmes de R&I de l'UE Opens in new window Réseau de collaboration HORIZON Opens in new window Coût total € 810 471,24 Bénéficiaires (4) Trier par ordre alphabétique Trier par contribution nette de l'UE Tout développer Tout réduire ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE Suisse Contribution nette de l'UE € 810 471,24 Adresse BATIMENT CE 3316 STATION 1 1015 Lausanne Voir sur la carte Région Schweiz/Suisse/Svizzera Région lémanique Vaud Type d’activité Higher or Secondary Education Establishments Liens Contacter l’organisation Opens in new window Site web Opens in new window Participation aux programmes de R&I de l'UE Opens in new window Réseau de collaboration HORIZON Opens in new window Coût total € 810 471,24 CONSIGLIO NAZIONALE DELLE RICERCHE Italie Contribution nette de l'UE € 877 557,76 Adresse PIAZZALE ALDO MORO 7 00185 Roma Voir sur la carte Région Centro (IT) Lazio Roma Type d’activité Research Organisations Liens Contacter l’organisation Opens in new window Site web Opens in new window Participation aux programmes de R&I de l'UE Opens in new window Réseau de collaboration HORIZON Opens in new window Coût total € 877 557,76 UNIVERSITAT LINZ Autriche Contribution nette de l'UE € 255 595,00 Adresse ALTENBERGER STRASSE 69 4040 Linz Voir sur la carte Région Westösterreich Oberösterreich Linz-Wels Type d’activité Higher or Secondary Education Establishments Liens Contacter l’organisation Opens in new window Site web Opens in new window Participation aux programmes de R&I de l'UE Opens in new window Réseau de collaboration HORIZON Opens in new window Coût total € 255 595,00 OESTERREICHISCHE AKADEMIE DER WISSENSCHAFTEN Autriche Contribution nette de l'UE € 255 595,00 Adresse DR. IGNAZ SEIPEL-PLATZ 2 1010 Wien Voir sur la carte Région Ostösterreich Wien Wien Type d’activité Research Organisations Liens Contacter l’organisation Opens in new window Site web Opens in new window Participation aux programmes de R&I de l'UE Opens in new window Réseau de collaboration HORIZON Opens in new window Coût total € 255 595,00