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High performance computing with Feel++: applications and numerical methods
Multi angle
Authors : Prud'homme, Christophe (Author of the conference)
CIRM (Publisher )
65N30 - Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods (BVP of PDE)
65N55 - Multigrid methods; domain decomposition (BVP of PDE)
65Y05 - Parallel computation (numerical methods)
65Y15 - Packaged methods in numerical analysis
CIRM (Publisher )
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Abstract :
I will review (some of) the HPC solution strategies developed in Feel++. We present our advances in developing a language specific to partial differential equations embedded in C++. We have been developing the Feel++ framework (Finite Element method Embedded Language in C++) to the point where it allows to use a very wide range of Galerkin methods and advanced numerical methods such as domain decomposition methods including mortar and three fields methods, fictitious domain methods or certified reduced basis. We shall present an overview of the various ingredients as well as some illustrations. The ingredients include a very expressive embedded language, seamless interpolation, mesh adaption, seamless parallelisation. As to the illustrations, they exercise the versatility of the framework either by allowing the development and/or numerical verification of (new) mathematical methods or the development of large multi-physics applications - e.g. fluid-structure interaction using either an Arbitrary Lagrangian Eulerian formulation or a levelset based one; high field magnets modeling which involves electro-thermal, magnetostatics, mechanical and thermo-hydraulics model; ... - The range of users span from mechanical engineers in industry, physicists in complex fluids, computer scientists in biomedical applications to applied mathematicians thanks to the shared common mathematical embedded language hiding linear algebra and computer science complexities.
MSC Codes : 65N30 - Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods (BVP of PDE)
65N55 - Multigrid methods; domain decomposition (BVP of PDE)
65Y05 - Parallel computation (numerical methods)
65Y15 - Packaged methods in numerical analysis
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 03/08/2016 Conference Date : 26/07/2016 Subseries : Research talks arXiv category : Numerical Analysis Mathematical Area(s) : Numerical Analysis & Scientific Computing Format : MP4 (.mp4) - HD Video Time : 01:08:39 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2016-07-26_Prud_homme.mp4 
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Information on the Event
Event Title : CEMRACS: Numerical challenges in parallel scientific computing / CEMRACS : Défis numériques en calcul scientifique parallèleEvent Organizers : Grigori, Laura ; Japhet, Caroline ; Moireau, Philippe ; Parnaudeau, Philippe Dates : 18/07/2016 - 26/08/2016 Event Year : 2016 Event URL : http://conferences.cirm-math.fr/1430.html
Citation Data
DOI : 10.24350/CIRM.V.19025203Cite this video as: Prud'homme, Christophe (2016). High performance computing with Feel++: applications and numerical methods. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19025203 URI : http://dx.doi.org/10.24350/CIRM.V.19025203 |
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