A Reduced Order Approach for the Embedded Shifted Boundary FEM and a Heat Exchange System on Parametrized Geometries

DOI10.1007/978-3-030-21013-7_8zbMath1442.65376arXiv1807.07753OpenAlexW2900157040MaRDI QIDQ4973308

Gianluigi Rozza, Nabil M. Atallah, Giovanni Stabile, Efthimios N. Karatzas, Guglielmo Scovazzi

Publication date: 3 December 2019

Published in: IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018 (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.07753

zbMATH Keywords

reduced order modelingreduced basis methodsunfitted meshshifted boundary methodimmersed/embedded finite element method

Mathematics Subject Classification ID

Heat equation (35K05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Boundary element methods applied to problems in thermodynamics and heat transfer (80M15) Boundary element methods for boundary value problems involving PDEs (65N38) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10) Diffusive and convective heat and mass transfer, heat flow (80A19)

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Uses Software

• redbKIT

Cites Work

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