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pro vyhledávání: '"N. Karatzas"'
We consider fully discrete embedded finite element approximations for a shallow water hyperbolic problem and its reduced-order model. Our approach is based on a fixed background mesh and an embedded reduced basis. The Shifted Boundary Method for spat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::79b49f5158c51ab4c48217a350fc09aa
Publikováno v:
Advanced Reduced Order Methods and Applications in Computational Fluid Dynamics ISBN: 9781611977240
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c7c497a10b1400f7dbcd3f6710a58d5c
https://doi.org/10.1137/1.9781611977257.ch13
https://doi.org/10.1137/1.9781611977257.ch13
We focus on steady and unsteady Navier–Stokes flow systems in a reduced-order modeling framework based on Proper Orthogonal Decomposition within a levelset geometry description and discretized by an unfitted mesh Finite Element Method. This work ex
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cd92042dfc4531dfea8017fd1ea8612a
http://hdl.handle.net/20.500.11767/124865
http://hdl.handle.net/20.500.11767/124865
Akademický článek
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Autor:
Gianluigi Rozza, Efthymios N. Karatzas
Publikováno v:
Journal of Scientific Computing. 89
In the present work, we investigate a cut finite element method for the parameterized system of second-order equations stemming from the splitting approach of a fourth order nonlinear geometrical PDE, namely the Cahn-Hilliard system. We manage to tac
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cfab152846db8a779185e6495bc35d3f
https://doi.org/10.1007/s10915-021-01623-8
https://doi.org/10.1007/s10915-021-01623-8
Publikováno v:
SIAM Journal on Numerical Analysis. 57:828-853
Space-time approximations of the Brusselator system of parabolic PDEs are examined. The schemes under consideration are discontinuous (in time) combined with standard conforming finite elements in ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::09d5661af565b10765242ed5f41ad712
https://doi.org/10.1137/18m1185594
https://doi.org/10.1137/18m1185594
Publikováno v:
Zeitschrift für Orthopädie und Unfallchirurgie.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::eef8495782690da9785705a6800c969c
https://doi.org/10.1055/s-0040-1717341
https://doi.org/10.1055/s-0040-1717341
Publikováno v:
Zeitschrift für Orthopädie und Unfallchirurgie.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1332d8d79d0386d8f71f1421e47294dd
https://doi.org/10.1055/s-0040-1717392
https://doi.org/10.1055/s-0040-1717392
Publikováno v:
Computer Methods in Applied Mechanics and Engineering
We investigate a projection-based reduced-order model of the steady incompressible Navier-Stokes equations for moderate Reynolds numbers. In particular, we construct an "embedded" reduced basis space, by applying proper orthogonal decomposition to th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e87165b63b4222136aac9d3c1a918fb7
http://hdl.handle.net/20.500.11767/115084
http://hdl.handle.net/20.500.11767/115084
This work investigates an elliptic optimal control problem defined on uncertain domains and discretized by a fictitious domain finite element method and cut elements. Key ingredients of the study are to manage cases considering the usually computatio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a5986b8e849df45943bc4c1a86412bd0