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Titlebook: Real Time Reduced Order Computational Mechanics; Parametric PDEs Work Gianluigi Rozza,Francesco Ballarin,Federico Pichi Book 2024 The Edito

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發(fā)表于 2025-3-21 18:27:16 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱(chēng)Real Time Reduced Order Computational Mechanics
副標(biāo)題Parametric PDEs Work
編輯Gianluigi Rozza,Francesco Ballarin,Federico Pichi
視頻videohttp://file.papertrans.cn/823/822206/822206.mp4
概述Several worked out problems with increasing complexity in computational mechanics.Endowed with open-source software libraries and working environments.Divided in 5 parts to collect several different t
叢書(shū)名稱(chēng)SISSA Springer Series
圖書(shū)封面Titlebook: Real Time Reduced Order Computational Mechanics; Parametric PDEs Work Gianluigi Rozza,Francesco Ballarin,Federico Pichi Book 2024 The Edito
描述The book is made up by several worked out problems concerning the application of reduced order modeling to different parametric partial differential equations problems with an increasing degree of complexity..This work is based on some experience acquired during lectures and exercises in classes taught at SISSA Mathematics Area in the Doctoral Programme “Mathematical Analysis, Modelling and Applications”, especially in computational mechanics classes, as well as regular courses previously taught at EPF Lausanne and during several summer and winter schools. The book is a companion for master and doctoral degree classes by allowing to go more deeply inside some partial differential equations worked out problems, examples and even exercises, but it is also addressed for researchers who are newcomers in computational mechanics with reduced order modeling...In order to discuss computational results for the worked out problems presented in this booklet, we will rely on the RBniCS Project. The RBniCS Project contains an implementation in FEniCS of the reduced order modeling techniques (such as certified reduced basis method and Proper Orthogonal Decomposition-Galerkin methods) for paramet
出版日期Book 2024
關(guān)鍵詞Reduced Order Modelling; Computational Mechanics; Real Time computing; Parametric Partial Differential
版次1
doihttps://doi.org/10.1007/978-3-031-49892-3
isbn_softcover978-3-031-49894-7
isbn_ebook978-3-031-49892-3Series ISSN 2524-857X Series E-ISSN 2524-8588
issn_series 2524-857X
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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Worked Out Problem 2: A Linear Elasticity Problem on a Squareith its affine decomposition. Numerical results show the performance of the reduced approach with respect to the high-fidelity discretization, the quantity of interest, and the speedup. We provide the links to the source code, to the Jupyter notebook, and to the web-server ARGOS.
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Worked Out Problem 3: Thermal Transfer Problem in a Parametrized Geometry formulation with its affine decomposition. Numerical results show the performance of the reduced approach with respect to the high-fidelity discretization, the quantity of interest, and the speedup. We provide the links to the source code, to the Jupyter notebook, and to the web-server ARGOS.
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Worked Out Problem 4: A Transport Problem for the 2D Graetz Flowresponding weak formulation with its affine decomposition. Numerical results show the performance of the reduced approach with respect to the high-fidelity discretization, the quantity of interest, and the speedup. We provide the links to the source code, to the Jupyter notebook, and to the web-server ARGOS.
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Worked Out Problem 7: A Nonlinear Elliptic Problemfine decomposition. Numerical results show the performance of the reduced approach with respect to the high-fidelity discretization, the quantity of interest, and the speedup. We provide the links to the source code, to the Jupyter notebook, and to the web-server ARGOS.
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