Finite Element Analysis of Variational Problems (2024)

Convener(s)

 
Name: Prof. Neela Nataraj Prof. Thirupathi Gudi
Mailing Address: Department of Mathematics, IIT Bombay Department of Mathematics, IISc Bangalore
Email: neela at math.iitb.ac.in gudi at iisc.ac.in

Finite element methods (FEMs) have become an integral part in the study of numerical solutions for partial differential equations (PDEs). In real life applications emerging from engineering and physics, we often encounter PDEs that are very complex and solving them for  exact solutions is almost impossible. FEMs are popular techniques to address this effectively. The success of these methods are based on the integration of the analysis of modern PDEs and that of numerical methods. The applicability of FEMs to domains of various shapes and the convergence of these methods under pragmatic regularity are the distinct features that have been established for a vast class of PDEs. In this workshop, the aim is to discuss some salient features of FEMs for nonlinear variational problems, variational inequalities and plate problems, each of which pose challenges in  their own specific way. We plan to provide an exposure to the participants on the latest developments in the field and provide glimpses of research directions pertaining to the variational problems. 

Dates: 

Monday, July 8, 2024 - 19:00 to Saturday, July 13, 2024 - 19:00

Venue: 

Venue Address: 

 

Department of Mathematics, IIT Bombay, Powai, Mumbai, India - 400076

 

 

 

 

 

 

Venue State: 

Venue City: 

PIN: 

400076

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

 

Selected Applicants: 

 

Serial SID Full Name Gender Affiliation Position in College / University University/ Institute M.Sc./ M.A. Year of Passing M.Sc. /M.A Ph.D. Deg.Date
1 54870 Mr. Prabal Acharya Male Visvesvaraya National Institute of Technology PhD Research Scholar National Institute of Technology Rourkela 2020  
2 54907 Mr Gokul Santhosh Male Indian Institute of Technology Palakkad PhD student Indian Institute of Technology Palakkad 2023  
3 54919 Mr. Sumit Mahajan Male IIT Roorkee PhD IIT Roorkee 2020  
4 54934 Mr. Shiv Mishra Male Indian Institute of Technology Roorkee PhD Banaras Hindu University 2022  
5 54961 Ms. Sarita Sihag Female Department of Mathematics
BITS Pilani K K Birla Goa Campus		 PhD   2022  
6 54998 Mr. Harpal Singh Male IIT Roorkee PhD Kurukshetra University 2019  
7 55061 Ms. Alphonsa George Female IIT Palakkad PhD Sacred Heart College Thevara 2020  
8 55108 Mr. Jivesh Sharma Male Visvesvaraya National Institue of Technology, Nagpur PhD student Central University of Punjab 2022 24/07/2023
9 55212 Mr. Keshav Chaturvedi Male Indian Institute Of Technology Roorkee PhD Indian Institute Of Technology Bombay 2023  
10 55239 Mr. Arijit Pal Male Indian Institute of Technology Guwahati PhD student Indian Institute of Technology Guwahati 2023  
11 55240 Mr Santhanakumar V Male Indian Institute of Technology, Guwahati PhD Ramakrishna Mission Vivekananda College, Chennai 2020  
12 55254 Mr. Vivek R Male CEG Campus, Anna University PhD Madras Christian College 2016  
13 55269 Mr Monirul Islam Male Indian Institute of Technology Guwahati PhD Visva-Bharati University 2019  
14 55278 Mr. Devraj Maurya Male IIT  Roorke PhD student V.B.S.P.U. JAUNPUR 2017  
15 55430 Mr. Pratyay Mondal Male IIT Guwahati PhD Banaras Hindu University 2022  
16 55539 Mr. Suraj Kumar Male IIT Guwahati Research Scholar BBMKU Dhanbad 2020  
17 55855 Mr. Niranjan . Male South Asian University,New Delhi Research Scholar South Asian University,New Delhi 2020 26/10/2021
18 55947 Mr. Kushal Roy Male IIT Guwahati Research Scholar Bankura University 2021  
19 56079 Ms. Mansi Yadav Female Indian Institute of Technology Delhi PhD Indian Institute of Technology Indore 2023  
20 56179 Ms. Deeksha Tomer Female Indian Institute of Technology Bhubaneswar PhD University of Lucknow 2019  
21 56232 Mr. Ankit Kumar Male BITS Pilani, Pilani Campus PhD Indian Institute of Technology Roorkee 2020  
22 56240 Ms. Ishani Choudhary Female IIIT-D PhD MNNIT Allahabad 2020 01/08/2022
23 56310 Ms. Annu Narwal Female Indian Institute of Technology, Ropar PhD MNIT, JAIPUR 2022  
24 56312 Ms Tooba M. Shaikh Female IISER Thiruvananthapuram PhD IISER Thiruvananthapuram 2023  
25 56428 Mr. Rishi Das Male IIT Bombay Ph.D. University of Calcutta 2021  
26 56516 Mr. Susheel Kumar Male Banaras Hindu University Research Scholar South Asian University New Delhi 2020  
27 56535 Mrs. Shipra Gupta Female BITS Pilani, Pilani Campus, Rajasthan PhD Hemvati Nandan Bahuguna Garhwal University, Uttarakhand 2018  
28 56564 Ms. Pooja Biswas Female Tezpur University PhD MSc 2021  
29 56614 Mr. Siyad Rahman. M Male IIT Bombay PhD Student IISER Thiruvananthapuram 2023  
30 56636 Ms. Monika Sangwan Female Birla Institute of Technology and Science PhD Visvesvaraya National Institute of Technology 2021  
31 56654 Mr. Jitesh Pravinbhai Mandaliya Male Institute of Infrastructure Technology Research and Management (IITRAM) Ph.D. Student Sardar Patel University 2015  
32 56655 Mr. Sunil . Male IIT Guwahati PhD Jaipur National University, Jaipur 2017  
33 56781 Mr. Subham Nayak Male IISER Thiruvananthapuram PhD Pondicherry University 2019  
34 56837 Mr. Ritesh Singla Male Indian Institute of Technology Delhi Research Scholar Tata Institute of Fundamental Research 2018  
35 56936 Mr Sudev Nambuthiri Male IISER Trivandrum MS STUDENT IISER Trivandrum Appeared  
36 56969 Dr. Subhashree Mohapatra Female IIIT Delhi Asst. Prof. Utkal University 2005 13/05/2013
37 57090 Ms. Shivani Shivani Female IIT Bombay PhD TIFR-CAM, Bengaluru 2021  
38 56112 Ms. Rupal Aggarwal     Female Manipal University Jaipur        

 

 

 

 

 

 

 

 

How to Reach: 

TBA

School Short Name: 

feavp

Last Date Application: 

Monday, August 15, 2022

School Type: 

NCMW

Separate faculty form: 

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