NCMW - Finite Element Analysis of Variational Problems (2024)

Speakers and Syllabus

 Syllabus to be covered in terms of modules of 6 lectures each:

Name of the Speaker with their Affiliation

 

No. of Lectures

Detailed Syllabus

S. Kesavan

IIT Chennai

4, each 1.5hours

Existence and Uniqueness of Variational Problems. Obstacle problem, Signorini Problem, Plate Problems. Some regularity results

Neela Nataraj

IIT Bombay

2, each 1.5hours

Finite Elements for Plate Problems. Formulation of Various methods and theory analysis.

Thirupathi Gudi

IISc Bangalore

4, each 1.5 hours

Finite Element Methods for Obstacle Problem, design of methods and error analysis.

Kamana Porwal

IIT Delhi

4. each 1.5hours

Finite element methods for Signorini type contact problems with and without friction. Design of methods and their error analysis.

Asha K Dond

IISER Trivandrum

4. each 1.5hours

Adaptive finite element methods and their convergence.

 

References:

  1. S. Kesavan, Topics in Functional Analysis and Applications, New Age international ltd, New Delhi
  2. P. G. Ciarlet, The finite element method for elliptic problems, SIAM Classics in Applied Mathematics
  3. R. Glowinski, Numerical methods for nonlinear variational problems, Springer.  

 

Names of the tutors with their affiliations:

  1.  Mr. Arnab Pal, Department of Mathematics, IISc Bangalore
  2.  Mr. Subham Nayak, Department of Mathematics, IISER Thiruvananthapuram
  3.  Dr. Ramesh Sau, Department of Mathematics, IIT Bombay
  4.  Dr. Raman Kumar,  Department of Mathematics, IIT Bombay

 

Time Table

 

Day Date Lecture 1 Break Lecture 2 Break Lecture 3 Break Discussion Break
    9.30 to 11:00 11:05-11:25 11:30-1:00 1:00 to 2:25 2:30 to 4:00 4:05-4:25 4:30 to 5:30 5:30 to 6:00
Monday 8 Jul 24 SK Tea/ Coffee/ Biscuits TG Lunch SK Tea/ Coffee/ Biscuits TG + RS + AP Tea/ Coffee/ Snacks
Tuesday 9 Jul 24 SK TG SK TG + RS + AP
Wednesday 10 Jul 24 TG KP TG KP + AP + TA
Thursday 11 Jul 24 KP AKD KP Prof. Apala Majumdar
Guest Lecture
Friday 12 Jul 24 AKD KP AKD AKD/KP + SN + TA
Saturday 13 Jul 24 NN AKD NN AKD/NN + SN + RK

Full Form for the abbreviations of Speakers and Tutors

  • SK    S. Kesavan
  • NN    Neela Nataraj
  • TG    Thirupathi Gudi
  • KP    Kamana Porwal
  • AKD  Asha Kisan Dond
  • AP    Arnab Pal
  • SN    Subham Nayak
  • TA    Tanvi
  • RS    Ramesh Sau
  • RK    Raman Kumar

 

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