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Pregled bibliografske jedinice broj: 996393

Numerical study of approximation quality of 1D PDE network approximation of the 3D model of the endovascular stent


Hajba, Marko
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:

Avatar Url Marko Hajba (autor)

Citiraj ovu publikaciju:

Hajba, Marko
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)
Hajba, M. (2017) Numerical study of approximation quality of 1D PDE network approximation of the 3D model of the endovascular stent. U: Absolventen Seminar, Numerische Mathematik.
@article{article, author = {Hajba, Marko}, year = {2017}, keywords = {endovascular stent, approximation, eigenfrequencies, FEM, COMSOL Multiphysics}, title = {Numerical study of approximation quality of 1D PDE network approximation of the 3D model of the endovascular stent}, keyword = {endovascular stent, approximation, eigenfrequencies, FEM, COMSOL Multiphysics}, publisherplace = {Berlin, Njema\v{c}ka} }
@article{article, author = {Hajba, Marko}, year = {2017}, keywords = {endovascular stent, approximation, eigenfrequencies, FEM, COMSOL Multiphysics}, title = {Numerical study of approximation quality of 1D PDE network approximation of the 3D model of the endovascular stent}, keyword = {endovascular stent, approximation, eigenfrequencies, FEM, COMSOL Multiphysics}, publisherplace = {Berlin, Njema\v{c}ka} }




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