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Parametrized model order reduction for component-to-system synthesis
Multi angle
Authors : Patera, Anthony (Author of the conference)
CIRM (Publisher )
65M15 - Error bounds (IVP of PDE)
65M60 - Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods (IVP of PDE)
65N15 - Error bounds (BVP of PDE)
65N30 - Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods (BVP of PDE)
93B50 - Synthesis problems
CIRM (Publisher )
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Abstract :
Parametrized PDE (Partial Differential Equation) Apps are PDE solvers which satisfy stringent per-query performance requirements: less-than or approximate 5-second problem specification time; less-than or approximate 5-second problem solution time, field and outputs; less-than or approximate 5% solution error, specified metrics; less-than or approximate 5-second solution visualization time. Parametrized PDE apps are relevant in many-query, real-time, and interactive contexts such as design, parameter estimation, monitoring, and education.
In this talk we describe and demonstrate a PDE App computational methodology. The numerical approach comprises three ingredients: component => system synthesis, formulated as a static-condensation procedure; model order reduction, informed by evanescence arguments at component interfaces (port reduction) and low-dimensional parametric manifolds in component interiors (reduced basis techniques); and parallel computation, implemented in a cloud environment. We provide examples in acoustics and also linear elasticity.
MSC Codes : In this talk we describe and demonstrate a PDE App computational methodology. The numerical approach comprises three ingredients: component => system synthesis, formulated as a static-condensation procedure; model order reduction, informed by evanescence arguments at component interfaces (port reduction) and low-dimensional parametric manifolds in component interiors (reduced basis techniques); and parallel computation, implemented in a cloud environment. We provide examples in acoustics and also linear elasticity.
65M15 - Error bounds (IVP of PDE)
65M60 - Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods (IVP of PDE)
65N15 - Error bounds (BVP of PDE)
65N30 - Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods (BVP of PDE)
93B50 - Synthesis problems
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 03/08/2016 Conference Date : 29/07/2016 Subseries : Research talks arXiv category : Numerical Analysis Mathematical Area(s) : Numerical Analysis & Scientific Computing Format : MP4 (.mp4) - HD Video Time : 00:46:12 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2016-07-29_Patera.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 : 18/07/16 - 26/08/16 Event Year : 2016 Event URL : http://conferences.cirm-math.fr/1430.html
Citation Data
DOI : 10.24350/CIRM.V.19026303Cite this video as: Patera, Anthony (2016). Parametrized model order reduction for component-to-system synthesis. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19026303 URI : http://dx.doi.org/10.24350/CIRM.V.19026303 |
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