West Asia Mathematical School (WAMS) : Numerical Methods for ill-posed Problems

Numerical Methods for ill-posed Problems

 

The West Asia Mathematical School (WAMS) is organized in collaboration and under the supervision of CIMPA. This school is organized in cooperation with College of Science-University of Diyala, University of Nantes and Nesin Mathematics Village.

 

 

While the expectation is that the COVID situation will be stable
enough for the school to be held physically, there remains
uncertainty regarding international travel at the current moment. If
a participant cannot physically attend the school due to COVID

concerns, an alternative arrangement will be made possible.

For downloading the poster click here

 

sponsors: CIMPA, University of Diyala, College of Science-University of Diyala, LMJL-Université de Nantes, Nesin Mathematics Village, University of Tikrit, College of Education of pure Sciences-University of Tikrit, French Embassy-Iraq         

cimpa Univ Diyala College of Science Diyala Math Nantes Nasin Izmir Tikrituniversity LogoTikritEducPureScie French Embassy Iraq

Coordinators

  • Abdeljalil Nachaoui, Laboratoire de Mathéatiques-Jean Leray, Universit de Nantes, France

  • Fatima M. Aboud, Department of mathematics, College of Sciences, University of Diyala

Deadline: 15 November 2021

Title : Numerical Methods for ill-posed Problems.

Location : Nesin Mathematics Village-Izmir-Turkey

Dates : 27 November - 5 December, 2021

 Scientific Committee

  • Abdeljalil Nachaoui, Laboratoire de Mathématiques Jean Leray, Université de Nantes, France
  • Abdelkrim Chakib, Department of Mathematics, University of Sultan Moulay Sliman Beni Mellal, Morocco
  • Francois Jauberteau, Laboratoire de Mathématiques Jean Leray, Université de Nantes, France
  • Tahseen H. Moubarak, College of Sciences, University of Diyala, Iraq  
  • Tamaz Tadumdaze, Institute of Applied Mathematics, Tbilisi State University, Tbilisi,Georgia

Local Organizing Committee

  • The person in charge: F. M. Aboud, Department of mathematics, College of Sciences, University of Diyala, Iraq.

  • Karzan A. Berdawood, College of Sciences, Department of Mathematics, University of Salahaddin-Erbil, Iraq.

  • Ali Nesin, Istanbul Bilgi University, Department of Mathematics and Nesin Mathematics Village, Turkey .

  • Aslı Can Korkmaz, Nesin Mathematics Village, Turkey .

  • Aycan Sahin, Nesin Mathematics Village, Turkey.

  • Lieth A Majeed, Department of mathematics, College of Sciences, University of Diyala, Iraq.

  • Ghassan Ezzulddin Arif, Department of mathematics, College of Education for pure sciences, University of Tikrit, Iraq.

 

Lecturers and courses

Fatima ABOUD

Fatima M. Aboud, Department of mathematics, College of Sciences, University of Diyala, Iraq Mathematical tools for partial differential equations analysis
Mourad N

Mourad Nachaoui, Department of Mathematics, University of Sultan Moulay Sliman Beni Mellal, Morocco

Control/ Fictitious Domain Method for Solving Optimal Shape Design Problems
PhotoNachaoui

Abdeljalil Nachaoui, Laboratoire de Mathématiques Jean Leray, Université de Nantes, France

Numerical methods for identification and reconstruction problems

 

Tentative schedule

A. Nachaoui

Numerical methods for identification and reconstruction problems

In the present course, we are interested by the resolution of a class of nonlinear inverse boundary value problems which describes numerous applications in many areas of science and engineering. We present a large class of techniques developed over the past several decades including a wide range of numerical optimization techniques with a strong focus on regularizing iterative methods. We show convergence results for these methods and discuss technical numerical implementation using finite and boundary element methods. The implementation of the sequence the discret problems is done using FreeFem
F. M. Aboud

Mathematical tools for partial differential equations analysis

Partial differential equations and their numerical simulation are essential tools in both industry and research. The objective of this course is to provide some essential tools for the analysis of partial differential equations (PDEs). The content brings together notions and results from the functional analysis, and the study of some PDEs using these tools.

Mourad Nachaoui
  1. Control/ Fictitious Domain Method for Solving Optimal Shape Design Problems.

Shape optimization is a branch of the optimal control theory, in which the control variable is connected with the geometry of the problem. For the numerical realization, one has to deform and modify the admissible shapes in order to comply with a given cost that needs to be minimized. For domains with complicated shapes this requires the use of mesh generators.  Moreover, data, defining the finite dimensional approximation (stiffness matrix, etc.) have to be recomputed again and again. As a result, the whole procedure is time-consuming and hence expensive.

This series of lectures deals with the mathematical analysis and the approximation of optimal shape design problems based on the combination of a fictitious domain and an optimal control approach. This approach enables us to perform all calculations on fixed domain with a fixed grid and thus permits to overcome the above described difficulties.

 

local website: https://en.sciences.uodiyala.edu.iq/pages?id=105

For more information contact: Izmir.Cimpa-Wams@univ-nantes.fr