[Turkmath:6268] (no subject)

[Allaberen Ashyralyev]

Dear Colleagues!
You are cordially invited to the  Weekly Online Seminar “Analysis and
Applied Mathematics” on

Date: Tuesday, November 21, 2023

Time: 12.00-13.00 (Istanbul) = 10.00-11.00 (Ghent) = 15.00-16.00 (Almaty)

 Place: Meeting room of Faculty of Engineering and Natural Sciences,
Bahçeşehir University, D-415
Zoom link:
https://us02web.zoom.us/j/6678270445?pwd=SFNmQUIvT0tRaHlDaVYrN3l5bzJVQT09,
Conference ID: 667 827 0445, Access code: 1
 Speaker:   PhD candidate Y. Kanagatov al-Farabi Kazakh National
University, Almaty, Kazakhstan
Title: Using adjoint equations to increase the accuracy of the fictitious
domain method
Abstract: One of the broad areas of research of computational mathematics
is numerical solution of problems of mathematical physics with a
curvilinear domain. One of the methods of solving such problems is the
finite difference method by using the fictitious domain. The fictitious
domain method is a method of simplifying a geometrically complex original
area by replacing the given area with a geometrically simple area, for
example, a rectangle or parallelogram. In this method, the assumption is
often made that the boundary condition on the fictitious boundary is equal
to zero or is equal to the boundary condition on the original boundary.
Thus, the fictitious domain method has the problem that the boundary
condition at the original boundary is not satisfied due to an assumption.
The subject of the presentation is updating this method by taking into
account the boundary condition on the original boundary. For this purpose,
the functional of the difference between the calculated and actual boundary
condition is minimized using the adjoint equation.
Title: Regularity for elliptic equations under minimal assumptions
Abstracts and forthcoming talks can be found on our webpage
https://sites.google.com/view/aam-seminars
With my best wishes
*Prof. Dr. Allaberen Ashyralyev *
*Department of Mathematics, Bahcesehir University,**34349**, Istanbul,
Turkiye**  and **Near East University, Lefkoşa(Nicosia), Mersin 10 Turkiye*
*Peoples' Friendship University of Russia (RUDN University),** Ul Miklukho
Maklaya 6, Moscow 117198, Russian Federation *
*Institute of Mathematics and Mathematical Modelling, 050010, Almaty,
Kazakhstan*
*e-mail: allaberen.ashyralyev at bau.edu.tr
<allaberen.ashyralyev at neu.edu.tr> and **aallaberen at gmail.com
<aallaberen at gmail.com> *
 http://akademik.bahcesehir.edu.tr/web/allaberenashyralyev

https://sites.google.com/view/aam-seminars
https://content.sciendo.com/view/journals/ejaam/ejaam-overview.xml
*icaam-online.org <http://icaam-online.org>*

*https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1
<https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1>*
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