Pregled bibliografske jedinice broj: 996393
Numerical study of approximation quality of 1D PDE network approximation of the 3D model of the endovascular stent
Numerical study of approximation quality of 1D PDE network approximation of the 3D model of the endovascular stent // Absolventen Seminar, Numerische Mathematik
Berlin, Njemačka, 2017. (predavanje, nije recenziran, neobjavljeni rad, znanstveni)
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Naslov
Numerical study of approximation quality of 1D PDE network approximation of the 3D model of the endovascular stent
Autori
Hajba, Marko
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni
Skup
Absolventen Seminar, Numerische Mathematik
Mjesto i datum
Berlin, Njemačka, 23.11.2017
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Nije recenziran
Ključne riječi
endovascular stent ; approximation ; eigenfrequencies ; FEM ; COMSOL Multiphysics
Sažetak
We present a prototype model of an endovacular stent in COMSOL Multiphysics. The 3D model is discretized with tetrahedral elements. The 3D object has then been sampled on all intersection points of struts. Based on this information a graph has been constructed where two nodes adjacent to the same strut are connected by an edge. 1D PDE network model of Canic and Tambaca has been built on this structured and the convergence of the 3D model when reducing the thickness has been numerically studied. We present results of numerical convergence experiments. The experiments show that a 1D PDE network model of 5e3 DOFs agrees with the 3D model of order 2e6 DOFs with as little as 5% error.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Napomena
Rad je nastao u suradnji s profesorima Lukom Grubišićem i Josipom Tambačom.
POVEZANOST RADA
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb,
Veleučilište u Virovitici
Profili:
Marko Hajba
(autor)