Component Mapping Automation for Parametric Component Reduced Basis Techniques (RB-COMPONENT) Article Swipe

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Rachida Chakir , Charles Dapogny , Caroline Japhet , Yvon Maday , Jean-Baptiste Montavon , Karim Trabelsi , Anthony T. Patera ·

YOU? · · 2021 · Open Access · · DOI: https://doi.org/10.1051/proc/201863208/pdf

The aim of this paper is to develop some techniques for automation of the mappings (between working and reference domains) required by reduced basis methods: the development of geometry mappings is indeed often a substantial impediment to the implementation of reduced basis techniques, especially in the context of the reduced basis element method (RBEM) and the reduced basis component method (RBCM). In the RBCM context, the geometry mappings are applied at the level of components. The methods have been tested on various cases to understand the limits of the approach and try to foresee and overcome the possible failures.

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Component (thermodynamics) Basis (linear algebra) Computer science Parametric statistics Mathematics Physics Statistics Geometry Thermodynamics

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Type: article
Language: en
Landing Page: https://hdl.handle.net/1721.1/135073
OA Status: green
Related Works: 10
OpenAlex ID: https://openalex.org/W4305069999

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DOI: https://doi.org/10.1051/proc/201863208/pdf

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Title: Component Mapping Automation for Parametric Component Reduced Basis Techniques (RB-COMPONENT)

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Language: en

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Publication year: 2021

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Publication date: 2021-10-27

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Authors: Rachida Chakir, Charles Dapogny, Caroline Japhet, Yvon Maday, Jean-Baptiste Montavon, Karim Trabelsi, Anthony T. Patera

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Landing page: https://hdl.handle.net/1721.1/135073

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OA status: green

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Concepts: Component (thermodynamics), Basis (linear algebra), Computer science, Parametric statistics, Mathematics, Physics, Statistics, Geometry, Thermodynamics

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