## Bhupen Deka

Designation :Associate Professor

Qualification :M. Sc (IIT, Delhi, 2001), Ph.D. (IIT, Guwahati, 2006).

Date of Joining TU :10th January, 2008.

Click Here for Updated CV (September 2013)

Area of Research:Numerical Analysis

PhD Thesis:Finite Element Methods for Elliptic and Parabolic Interface Problems

Advisor: Dr. Rajen K. Sinha

Research Interests:

o Finite Element Methods for PDEs

o Interface problems

Current Interest of Research:

o Finite Element Methods for Hyperbolic Problems under minimal regularity assumption of Solution

Professional Experience:

o Teaching Assistant at Indian Institute of Technology Guwahati, Assam, India (Aug 2002 - May 2004).

Role / Duties: Lab Instructor, Assignment Evaluation

o Lecturer, Department of Mathematics, Assam University, Silchar, India (4 October 2005 - 9 January 2008).

o Lecturer, Department of Mathematical Sciences, Tezpur University, Tezpur, India. (Since 10th January, 2008).

Publications:

1.Finite Element Method with Quadrature for Parabolic Interface Problems ,Accepted in Neural, Parallel, and Scientific Computations, with R. K. Sinha, R. C. Deka and T. Ahmed.

2.Finite element methods with numerical quadrature for linear parabolic interface problems,Accepted in Bull. Korean Math. Soc., with R. C. Deka.

3.Finite Element Method for a class of Parabolic Integro-Differential Equations with Interfaces,Accepted in Ind. J. Pure. and Appl. Math., with R. C. Deka.

4.Zeros of Ttrigonometric Like Functions via Two Point Boundary Value Problems,Accepted in Mathematical Forum, with S. Deka.

5.Convergence of Finite Element Method for Linear Second order Wave Equations with Discontinuous Coefficients,Numer. Method for PDE,29(2013), pp. 1522-1542 with T. Ahmed.

6.Finite element methods for second order linear hyperbolic interface problems,Applied Mathematics and Computation, 218 (2012) 10922-10933, with R. K. Sinha

7."Semidiscrete Finite Element Methods for Linear and Semilinear Parabolic Problems with Smooth Interfaces: Some new Optimal Error Estimates",Numer. Funct. Anal. Optim., 33(5), pp. 524-544, 2012with T. Ahmed.

8.Finite element methods for semilinear elliptic problems with smooth interfaces,to appear in Ind. J. Pure. Appl. Math., with T. Ahmed.

9.L^\infty(L^2) and L^\infty(H^1) norms Error Estimates in Finite Element Method for Linear Parabolic Interface Problems,Numer. Funct. Anal. Optim., 32, 2011, pp.267-285, with R. K. Sinha.

10.Finite Element Methods with Numerical Quadrature For Elliptic Problems with Smooth Interfaces,Journal of Computational and Applied Mathematics, 234(2010), pp. 605-612.

11.Finite element methods for semilinear elliptic and parabolic interface problems,Applied Numerical Mathematics, 59(2009), pp. 1870-1883, with R. K. Sinha.

12.An unfitted finite element method for elliptic and time dependent parabolic interface problems,IMA J. Numer. Anal., 27(2007), pp. 529-549 with R. K. Sinha.

13.A priori error estimates in finite element method for non selfadjoint elliptic and parabolic interface problems,Calcolo, 43 (2006)}, with R. K. Sinha.

14.On the convergence of finite element method for second order elliptic interface problem,Numer. Funct. Anal. Optim., 27 (2006), pp. 99-115, with R. K. Sinha.

15.Optimal error estimates for linear parabolic problems with discontinuous coefficients,SIAM J. Numer. Anal., 43 (2005), pp.~733-749}, with R. K. Sinha.

Presentation/ Talk:1.Invited speaker for the symposium on Numerical solutions of PDE ,Annual Meeting of the RMS at the Rewa Institute in Bangalore during June 27 -30, 2013.

2.Invited speaker in the International Conference on Mathematical Modeling and Applications to Industrial Problems,NIT Calicut, March 28-31, 2011.

3.Finite element methods for elliptic interface problems, Given a talk at Department of Mathematics Seminar Series,March 2005, Indian Institute of Technology Guwahati,India.

4.Convergence of finite element method for second order elliptic interface problems,Presented in First Indo-German conference in PDE, Scientific Computing and Optimization,September 8$-$11, 2004, University of Trier, Germany.

5.Studies of zeros of Trigonometric like functions via two point boundary value problems, Presented in Joint 9th National Conference of the Vigyan Parishad of India on Applied and Industrial Mathematics and 5th Annual conference of Indian Society of Information Theory and Application,February 22$-$24, 2002, Netaji Subhas Institute of Technology, New Delhi, India.

6.Boundary value problem associated with trigonometric-like functions, Given a talk at Department of Mathematics Seminar Series,2001, Indian Institute of Technology Guwahati, India.

National/ International Conference attended:

1.International Workshop on Recent Advances in Computational Fluid Dynamics ( A Satellite Event of ICM 2010),30 th August to 2n d September 2010, Department of Mathematics, IIT Guwahati.

2.Science Conclave: A Congregation of Nobel Prize Winners,} December 15-21, 2008,Indian Institute of Information Technology, Allahabad, India}

3.Workshop on ``Mathematical Programming and Related topics on Optimization-Methods, Application and Practices", November 12-14, 2007,Organized Jointly by Indian Statistical Institute, Kolkata and Department of Statistics, Dibrugarh University, Assam, India.

4.First Indo-German conference in PDE, Scientific Computing and Optimization, September 8-11, 2004,University of Trier, Germany.