Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Onur Baysal"'
Publikováno v:
Mathematics in Engineering, Vol 6, Iss 1, Pp 137-154 (2024)
We present a new comprehensive mathematical model of the cone-shaped cantilever tip-sample interaction in Atomic Force Microscopy (AFM). The importance of such AFMs with cone-shaped cantilevers can be appreciated when its ability to provide high-reso
Externí odkaz:
https://doaj.org/article/03596baca6204b3592632ac132d70678
Autor:
Onur Baysal
Publikováno v:
Journal of Inverse and Ill-posed Problems.
The problem of identifying an unknown flexural rigidity r ( x ) {r(x)} of the cantilever Euler–Bernoulli beam from measured boundary deflection is studied. The problem leads to the inverse coefficient problem of determining the unknown principa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::41003ca6fed2f1918be703a5045834fb
https://doi.org/10.1515/jiip-2021-0067
https://doi.org/10.1515/jiip-2021-0067
In this study, an inverse source problem of identifying an unknown spatial load f ( x , y ) in a system governed by the Kirchhoff plate equation u t t + D ▵ 2 u = g ( t ) f ( x , y ) , ( x , y , t ) ∈ Ω × ( 0 , T ) from available boundary obser
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8fd1100a17a3b2172e566ce6ead3be92
https://aperta.ulakbim.gov.tr/record/236480
https://aperta.ulakbim.gov.tr/record/236480
Publikováno v:
Journal of Inverse and Ill-posed Problems. 27:859-876
An inverse problem of identifying an unknown shear force g ( t ) {g(t)} on the inaccessible boundary x = l {x=l} in a system governed by the general form Euler–Bernoulli beam equation ρ ( x ) u t t + μ ( x ) u t + ( r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d025df0fc420b0f29a6ea6214be979df
https://doi.org/10.1515/jiip-2019-0020
https://doi.org/10.1515/jiip-2019-0020
Publikováno v:
Inverse Problems. 37:075005
In this paper we discuss the unique determination of unknown spatial load $F(x)$ in the damped Euler-Bernoulli beam equation $\rho(x) u_{tt}+\mu u_{t}+(r(x)u_{xx})_{xx}=F(x)G(t)$ from final time measured output (displacement, $u_{T}(x):=u(x,T)$ or ve
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2e84e2202ef28454e58c1e40d2607c89
https://doi.org/10.1088/1361-6420/ac01fb
https://doi.org/10.1088/1361-6420/ac01fb
Autor:
Onur Baysal, Alemdar Hasanov
In this study, solvability of the initial boundary value problem for general form Euler-Bernoulli beam equation which includes also moving point-loads is investigated. The complete proof of an existence and uniqueness properties of the weak solution
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c659576a9fac48a5fd2258b75636929a
https://hdl.handle.net/11376/3900
https://hdl.handle.net/11376/3900
Autor:
onur baysal
Publikováno v:
onur baysal
In this work a Multidimensional Coefficient Inverse Problem (MCIP) for a parabolic POE with the data resulting from a single measurement event is considered. This measured data is obtained using a single position of the point source. The most importa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::766ac24fe1e747dfc139b017cb292710
https://doi.org/10.1016/j.cam.2015.02.029
https://doi.org/10.1016/j.cam.2015.02.029
Autor:
Alemdar Hasanov, Onur Baysal
Publikováno v:
Journal of Inverse and Ill-posed Problems. 23:85-102
The inverse problem of determining the unknown spatial load distribution F(x) in the cantilever beam equation m(x)u tt = -(E I(x)u xx ) x x + F(x)H(t), with arbitrary but separable source term, from the measured data uT (x) := u(x,T), x ∈ (0,l), at
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::defe4ea367056706597297be3c7d7943
https://doi.org/10.1515/jiip-2014-0010
https://doi.org/10.1515/jiip-2014-0010
Autor:
Onur Baysal
Publikováno v:
Journal of Computational and Applied Mathematics. 259:641-650
In this paper a Petrov-Galerkin type stabilization for a time dependent advection-diffusion equation is considered. We first enrich the bilinear test space with bubble functions and the bilinear trial space with a special combination of bubble and mu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::97ab636d20218ea398f66f2f13094196
https://doi.org/10.1016/j.cam.2013.03.035
https://doi.org/10.1016/j.cam.2013.03.035
Publikováno v:
Inverse Problems. 35:115008
In this paper, a novel mathematical model and new approach is proposed for identification of an unknown shear force g(t) in a system governed by the general form Euler Bernoulli beam equation rho(x)u(tt) + mu(x)u(t) +(r(x)u(xx))(xx) = T(r)u(xx) = 0,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e911a72dd638c29225d0666d847dbf9e
https://doi.org/10.1088/1361-6420/ab2a34
https://doi.org/10.1088/1361-6420/ab2a34