Publication in Journals:
Ajit Patel, A. K. Pani, N. Nataraj, Mortar finite element method for parabolic problems, Numerical Methods for Partial Differential Equations, 24, no. 6, 1460–1484 (2008).
Ajit Patel, Lagrange multiplier method with penalty for elliptic and parabolic interface problems, Journal of Applied Mathematics and Computing, 37, 1-2, 37–56 (2011).
S K Acharya, A Patel, Primal hybrid method for parabolic problems, Applied Numerical Mathematics, 108,
102–115 (2016).
Ajit Patel, S. K. Acarya, A. K. Pani, Stabilized Nitsche's mortaring element method for elliptic
and parabolic problems, Applied Numerical Mathematics, 120, 287{304 (2017) .
S K Acharya, A Patel, A priori error analysis of the stabilized Lagrange multiplier method for elliptic problems with natural norm, Journal of Applied Mathematics and Computing, (June 2018).
Participation in Conferences/Workshop:
31st Annual Conference of Orissa Mathematical Society, 07 - 08 February 2004, Institute of Physics, Bhubaneswar-751 013.
National Workshop on Wavelet Analysis and Applications, 08 - 11 February, 2004, Institute of Physics, Bhubaneswar-751013.
INDO-UK Study Group Meeting on Industrial Problems (SGMIP-04), December 06 - 10, 2004, IIT Bombay, India.
Recent Trends in Nonlinear Analysis and is Applications (CNAA-04), December 11 - 13, 2004, IIT Bombay, India.
Instructional School on Computational Partial Differential Equations (CPDE-05), 05 -24 June 2005, IIT Bombay, Powai, Mumbai-400 076.
Ajit Patel, Mortar Finite Element Method for Elliptic and Parabolic Problems in 33rd Annual Conference of Orissa Mathematical Society, 04 - 05 February 2006, School of Mathematical Sciences, Sambalpur University, Jyoti Vihar, Burla-768 019, Orissa.
International Conference on Topics in Functional and Numerical Analysis, 07 - 09 December 2005, IIT Bombay, Powai, Mumbai-400 076.
Mortar finite element method with Lagrange multiplier for parabolic problems with discontinuous coefficients. International Congress on Industrial and Applied Mathematics, ICIAM-07, 15 - 20 July 2007, ETH (Swiss Federal Institute of Technology) and University of Zurich, Switzerland.
Participated in the “Topics on Nonlinear PDEs”, CIM/UC Summer School, 22 - 27 July 2007, Coimbra University, Coimbra, Portugal.
Ajit Patel, Nitsche’s Mortaring Element Method for Elliptic and Parabolic Problems in 35th Annual Conference of Orissa Mathematical Society, 02 - 03 January 2008, Sailabala Women’s college, Cuttack, Orissa.
Workshop attended on Instructional School on Partial Differential Equations and National Symposium on Hyperbolic PDEs, 22 June - 17 July 2008, IIT Bombay, Powai, Mumbai-400 076.
Workshop attended on International Conference on Recent Trends in Computational Partial Differential Equations, 07 - 09 December 2008, IIT Bombay, Powai, Mumbai-400 076.
J. B. Shukla and A. Patel, O. P. Misra, J. Dhar, Modelling the effect of Resource Gradient on Survival of Species. National Conference on Mathematical Modelling and Simulation “NCMMAS-09”, 09 - 11 January 2009, Jointly organized by Jiwaji University, Gwalior and ABV-Indian Institute of Information Technology & Management, Gwalior.
Participated in 15th ACM SIGPLAN Annual Symposium on Principles and Practice of Parallel Programming, 9 - 14 January, 2010, IISc Bangalore, India.
Ajit Patel, Lagrange multiplier method with penalty for elliptic interface problems, International Congress of Mathematicians, Hyderabad, India, 19-27 August 2010.
Ajit Patel, Stabilized Nitsche’s mortaring element method for elliptic interface problems, 20th International Conference for Domain Decomposition Methods, 7 - 11 Feb 2011, UC San Diego in La Jolla, California, USA.
Ajit Patel, Stabilized Nitsche’s mortaring element method for parabolic interface problems, 7th International Congress on Industrial and Applied Mathematics - ICIAM 2011, July 18 - 22, 2011, Vancouver, BC, Canada.
Participated in Ramanujan Mathematical Society 27th Annual Conference, India 20 - 23 October, 2012, Delhi, India.
Ajit Patel, Non-conforming domain decomposition method with penalty for elliptic interface problems, Symposium on Recent Trends and Emerging Applications of Mathematical Sciences - SRTEAMS-2013, May 16 – 17, 2013, National Institute of Technology Rourkela, Odisha, India.
Participated in School on ”Current Trends in Computational Methods for PDEs - CIMPA - NPDE”, June 24-July 19, 2013, Indian Institute of Science Bangalore, India.
A. Patel, D. Pradhan, Lagrange multiplier method with non-matching grid for hyperbolic problems, International Congress for Mathematician, Seoul, South Korea, 13-21 August 2014.
D. Pradhan, N. Nataraj, A. Patel, An Iterative Procedure using a Mixed Finite Element Methods for Biharmonic Equation, International Congress for Mathematician, Seoul, South Korea, 13-21 August 2014.
A Patel, D Pradhan, A mortar finite element method using non-conforming Crouzeix-Raviart space, International Congress on Industrial and Applied Mathematics (ICIAM) during August 10 - 14, 2015, Beijing, China.
S K Acharya, A Patel, “Convergence results with natural norms: Stabilized Lagrange multiplier method for elliptic interface problems, Fifteenth Conference on the Mathematics of Finite Elements and Applications (MAFELAP 2016) Brunel University London, 14-17 June 2016.