Zobrazeno 1 - 10
of 23
pro vyhledávání: '"Marko Vrdoljak"'
Autor:
Marko Vrdoljak
Publikováno v:
Electronic Journal of Differential Equations, Vol 2018, Iss 59,, Pp 1-10 (2018)
A multiple state optimal design problem with presence of uncertainty on the right-hand side is considered, in the context of stationary diffusion with two isotropic phases. A similar problem with one state equation has already been considered by
Externí odkaz:
https://doaj.org/article/78ecfa493c4d4a8da72e74cdfe7c1e19
Publikováno v:
Mathematical Modelling and Analysis, Vol 23, Iss 2 (2018)
We are interested in general homogenization theory for fourth-order elliptic equation describing the Kirchhoff model for pure bending of a thin solid symmetric plate under a transverse load. Such theory is well-developed for second-order elliptic pr
Externí odkaz:
https://doaj.org/article/8383e633f1dd4d31844504b217180433
Publikováno v:
Zeitschrift für Naturforschung A.
Plaque reduces the conductivity of the blood vessel and its shape is more important than its quantity. We show that, for given quantity, the conductivity is maximal if the plaque forms a uniform layer next to the vessel wall and leaves a circular hol
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::09068997eb1bdaaca8a770ce87e13a55
https://doi.org/10.1515/zna-2023-0059
https://doi.org/10.1515/zna-2023-0059
Autor:
Marko Vrdoljak, Petar Kunštek
Publikováno v:
Journal of Differential Equations. 268:6920-6939
We consider optimal design problems for stationary diffusion equation, seeking for the arrangement of two isotropic materials, with prescribed amounts, which maximizes the energy functional. The aim is to present some classes of problems on an annulu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::36fa0bb734eb65e73a8642e4c689be22
https://doi.org/10.1016/j.jde.2019.11.077
https://doi.org/10.1016/j.jde.2019.11.077
Autor:
Petar Kunštek, Marko Vrdoljak
We consider optimal design problems in stationary diffusion for mixtures of two isotropic phases. The goal is to find an optimal distribution of the phases such that the energy functional is maximized. By following the identity perturbation method, w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cf418dc52aee43e4cc28381948191d20
https://doi.org/10.1080/10556788.2022.2078823
https://doi.org/10.1080/10556788.2022.2078823
In optimal design problems the goal is to find an optimal distribution of materials in a fixed domain which optimizes a criterion, computed through the solution of a partial differential equation modelling the involved physics. We consider optimal de
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c2d2f27ddf197b1b8d42e1146e54f4b3
https://www.bib.irb.hr/1093439
https://www.bib.irb.hr/1093439
Publikováno v:
Mathematical Modelling and Analysis, Vol 23, Iss 2 (2018)
Mathematical Modelling and Analysis; Vol 23 No 2 (2018); 190-204
Mathematical Modelling and Analysis; Vol 23 No 2 (2018); 190-204
We are interested in general homogenization theory for fourth-order elliptic equation describing the Kirchhoff model for pure bending of a thin solid symmetric plate under a transverse load. Such theory is well-developed for second-order elliptic pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::750f0cb6d83281a4ecb0092e0a9c2e2f
https://doi.org/10.3846/mma.2018.012
https://doi.org/10.3846/mma.2018.012
Autor:
Marko Vrdoljak, Krešimir Burazin
We consider multiple state optimal design problems for stationary diffusion in the case of two isotropic phases, aiming to minimize a linear combination (with nonnegative coefficients) of compliances. Commonly, optimal design problems do not have cla
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dbfc3e016eb1a971c93d8d69ee70a7f3
https://doi.org/10.1007/s10440-018-0204-z
https://doi.org/10.1007/s10440-018-0204-z
In optimal design problems the goal is to find the best arrangement of given materials within the body which optimizes its properties with respect to some optimality criteria. We consider mixtures of two isotropic materials in context of stationary d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bbff87f34dff098f2dc3c64b68045677
https://www.bib.irb.hr/903839
https://www.bib.irb.hr/903839
Publikováno v:
Nonlinear Analysis: Real World Applications. 15:290-305
On the basis of the recent progress in understanding the abstract setting for Friedrichs symmetric positive systems by Ern et al. (2007) [8] , as well as Antonic and Burazin (2010) [9] , an attempt is made to relate these results to the classical Fri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1a44cf3f9cbd854fe2632d3ca074b0d9
https://doi.org/10.1016/j.nonrwa.2011.08.031
https://doi.org/10.1016/j.nonrwa.2011.08.031