Real Time Reduced Order Computational Mechanics Parametric PDEs Worked Out Problems /
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 tau...
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Cham :
Springer Nature Switzerland : Imprint: Springer,
2024.
|
| সংস্করন: | 1st ed. 2024. |
| মালা: | SISSA Springer Series,
5 |
| বিষয়গুলি: | |
| অনলাইন ব্যবহার করুন: | https://doi.org/10.1007/978-3-031-49892-3 |
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| 100 | 1 | |a Rozza, Gianluigi. |e author. |0 (orcid)0000-0002-0810-8812 |1 https://orcid.org/0000-0002-0810-8812 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Real Time Reduced Order Computational Mechanics |h [electronic resource] : |b Parametric PDEs Worked Out Problems / |c by Gianluigi Rozza, Francesco Ballarin, Leonardo Scandurra, Federico Pichi. |
| 250 | |a 1st ed. 2024. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Springer, |c 2024. | |
| 300 | |a 1 online resource (XIV, 180 p. 103 illus.). |b 98 illus. in color. | ||
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| 490 | 1 | |a SISSA Springer Series, |x 2524-8588 ; |v 5 | |
| 505 | 0 | |a A short introduction to Reduced Basis Method -- Part I Worked out problems for beginners: steady cases -- Steady heat conduction in a thermal block -- A linear elasticity problem on a square -- Thermal transfer problem in a parametrized geometry -- A transport problem for the 2D Graetz flow -- Heat conduction with Gaussian flux -- Part II Advanced worked out problems:time dependent and nonlinear cases -- Unsteady heat conduction in a thermal block -- Unsteady heat conduction in a thermal block -- A nonlinear parabolic FitzHugh-Nagumo problem -- Part III Real-life worked out problems: engineering applications -- A thermal conduction problem through an extended surface -- An idealized contact problem in linear elasticity with friction -- A linear elasticity application on a beam bridge -- Part IV Fluid dynamics worked out problems -- Navier-Stokes system for a backward-facing step -- Bifurcating Coanda effect in a channel -- Unsteady Navier-Stokes equations for vortexshedding behind a cylinder -- Part V More advanced worked out problems -- Stabilized reduced method for an advection dominated problem -- A parametrized elliptic optimal control problem -- Uncertainty quantification for a stochastic thermal block. | |
| 520 | |a 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 parametric problems that will be introduced in this booklet. | ||
| 532 | 8 | |a Accessibility summary: This PDF does Not fully comply with PDF/UA standards but does include limited screen reader support, descriptions for Non-text content (such as images and graphs), bookmarks for easy navigation, and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognise the importance of accessibility and welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us via https://www.springernature.com/gp/info/accessibility | |
| 532 | 8 | |a Inaccessible, or known limited accessibility | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
| 588 | |a Print version record. | ||
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| 700 | 1 | |a Ballarin, Francesco. |e author. |0 (orcid)0000-0001-6460-3538 |1 https://orcid.org/0000-0001-6460-3538 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Scandurra, Leonardo. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Pichi, Federico. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
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