<div dir="ltr"><div><span style="color:rgb(80,0,80)">Dear Colleagues!</span><br></div><div><div><span style="color:rgb(80,0,80)">You are cordially invited to the </span> <span style="color:rgb(80,0,80)">Weekly Online </span><span style="color:rgb(80,0,80)">Seminar “Analysis and Applied Mathematics” on </span> </div><div><br></div><div>Date: Tuesday, November 21, 2023 </div><div><br></div><div>Time: 12.00-13.00 (Istanbul) = 10.00-11.00 (Ghent) = 15.00-16.00 (Almaty) </div><div><br></div><div> Place: Meeting room of Faculty of Engineering and Natural Sciences, Bahçeşehir University, D-415 </div><div>Zoom link: <a href="https://us02web.zoom.us/j/6678270445?pwd=SFNmQUIvT0tRaHlDaVYrN3l5bzJVQT09" target="_blank">https://us02web.zoom.us/j/6678270445?pwd=SFNmQUIvT0tRaHlDaVYrN3l5bzJVQT09</a>, Conference ID: 667 827 0445, Access code: 1 </div><div> Speaker: PhD candidate Y. Kanagatov
al-Farabi Kazakh National University, Almaty, Kazakhstan </div><div>Title: Using adjoint equations to increase the accuracy of the
fictitious domain method </div><div>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. <br></div><div>Title: Regularity for elliptic equations under minimal assumptions </div><div><span style="color:rgb(80,0,80)">Abstracts and forthcoming talks can be found on our webpage</span><br></div><div><div><span style="color:rgb(80,0,80)"><div><a href="https://sites.google.com/view/aam-seminars" target="_blank">https://sites.google.com/view/aam-seminars</a><br>With my best wishes</div></span></div></div></div><div><div dir="ltr" class="gmail_signature" data-smartmail="gmail_signature"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div style="font-size:12.8px"><b style="font-size:12.8px">Prof. Dr. Allaberen Ashyralyev </b></div><div><span style="font-size:small"><b>Department of Mathematics, Bahcesehir University,</b></span><b>34349</b><span style="font-size:small"><b>, Istanbul, Turkiye</b></span><b style="font-size:12.8px"> and </b><b style="font-size:12.8px">Near East University, Lefkoşa(Nicosia), Mersin 10 Turkiye</b></div><div><div style="font-size:12.8px"><span style="font-size:12.8px"><b>Peoples' Friendship University of Russia (RUDN University),</b></span><b style="color:rgb(51,51,51);font-family:arial,helvetica,sans-serif;font-size:13px"> Ul Miklukho Maklaya 6, Moscow 117198, Russian Federation </b></div><div style="font-size:12.8px"><b style="font-size:12.8px">Institute of Mathematics and Mathematical Modelling, 050010, Almaty, Kazakhstan</b></div><div style="font-size:12.8px"><b style="font-size:12.8px">e-mail: <a href="mailto:allaberen.ashyralyev@neu.edu.tr" style="color:rgb(17,85,204)" target="_blank">allaberen.ashyralyev@bau.edu.tr</a> and </b><b style="font-size:12.8px"><a href="mailto:aallaberen@gmail.com" style="color:rgb(17,85,204)" target="_blank">aallaberen@gmail.com</a> </b></div><div style="font-size:12.8px"><b style="font-size:12.8px"> </b><a href="http://akademik.bahcesehir.edu.tr/web/allaberenashyralyev" style="color:rgb(0,86,179);margin:0px;padding:0px;border:0px;font-stretch:inherit;font-size:14px;line-height:inherit;font-family:Roboto,sans-serif;vertical-align:baseline" target="_blank">http://akademik.bahcesehir.edu.tr/web/allaberenashyralyev</a></div><div><p class="MsoNormal"><a href="https://sites.google.com/view/aam-seminars" target="_blank">https://sites.google.com/view/aam-seminars</a></p></div><div><a href="https://content.sciendo.com/view/journals/ejaam/ejaam-overview.xml" target="_blank">https://content.sciendo.com/view/journals/ejaam/ejaam-overview.xml</a><br></div><div><font color="#1155cc"><span style="font-size:12.8px"><b><u><a href="http://icaam-online.org" target="_blank">icaam-online.org</a></u></b></span></font></div></div><div><font color="#1155cc"><span style="font-size:12.8px"><b><a href="https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1" target="_blank">https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1<br></a></b></span><br></font></div></div></div></div></div></div></div></div></div></div></div></div></div></div>