Professor Ph.D. (IIT Guwahati)
+91 (0)361 258 2634 bdeka ◊ iitg ⋅ ac ⋅ in
Research Area: Numerical Analysis, Finite Element Method, Interface Problems
Room No: E1-306
Personal Website | IRINS Profile
Department Responsibilities:
DFAC, Member
Alumni Matters & External Relations, Member
Faculty Advisor, SIAM Student Chapter
Faculty Advisor, M.Sc. (Mathematics) 2024
Research Interests
Numerical Methods for Partial Differential Equations
Finite Element Methods
Weak Galerkin Finite Element Methods
Virtual Element Methods
Interface Problems
A priori and Aposteriori Error Analysis
Current Research Works
Weak Galerkin Finite Element Methods for System of Equations
Finite Element Methods under Minimal Regularity
Numerical Simulation of non-Fourier Bio-heat Transfer Model
Virtual Element Methods for Very Weak Solutions with Polygonal Meshes
Virtual Element Methods for General Second Order Hyperbolic Equation
• PhD, Mathematics, April 2006.
Indian Institute of Technology Guwahati, Assam, India
PhD Thesis: Finite Element Methods for Elliptic and Parabolic Interface Problems
Advisor: Dr. Rajen K. Sinha
• MSc, Mathematics, August 2001.
Indian Institute of Technology Delhi, Delhi, India
Cumulative GPA: 7.04 (Scale of 10.00)
MSc Thesis: Boundary Value Problems Associated with Trigonometric-Like Functions.
Advisor: Dr. T. Gnana Bhaskar
• BSc (Honors), Mathematics, September 1999.
Cotton College, Guwahati, Assam, India,
Percentile Marks: 74.4
Computer Programming with C
Ordinary Differential Equation
Mathematical Theory to Finite Element Method
Partial Differential Equation
Real Analysis
Numerical Solution of ODE
Mathematical Software
Mathematical Methods
Numerical Analysis
Functional Analysis
Mathematics I
Mathematics II
Mathematical Methods & PDE
Integral Equations & Transforms
Mathematics IV
Mathematics I
Mathematics II
July-Nov 2016
MA201 MATHEMATICS-III for B.Tech.
15. Bhupen Deka, P. Roy., "Weak Galerkin Finite Element Methods for Parabolic Interface Problems with Nonhomogeneous Jump Conditions", Numerical Functional Analysis and Optimization. , vol.40 (3) ,pp.259-279, [2019]
14. Bhupen Deka., "A Weak Galerkin Finite Element Method for Elliptic Interface Problems with Polynomial Reduction", Numerical Mathematics Theory Methods and Applications. , vol.11 (3) ,pp.655-672, [2018]
13. Bhupen Deka, T. Ahmed., "Convergence of Finite Element Method for Linear Second order Wave Equations with Discontinuous Coefficients.", Numer. Method for PDE , vol.29 ,pp.1522-1542, [2013]
12. Bhupen Deka, R. C. Deka., "Finite Element Method for a class of Parabolic Integro-Differential Equations with Interfaces", Ind. J. Pure. and Appl. Math , vol.44 ,pp.823-847, [2013]
11. Bhupen Deka, R. K. Sinha, R. C. Deka, T. Ahmed., "Finite Element Method with Quadrature for Parabolic Interface Problems, Neural", Parallel and Scientific Computations , vol.21 ,pp.477-496, [2013]
10. Bhupen Deka, T. Ahmed., "Semidiscrete Finite Element Methods for Linear and Semilinear Parabolic Problems with Smooth Interfaces: Some new Optimal Error Estimates", Numer. Funct. Anal. Optim. , vol.33 ,pp.524-544, [2012]
9. R. K. Sinha, B. Deka., "Finite element methods for second order linear hyperbolic interface problems.", Applied Mathematics and Computation , vol.218 ,pp.10922-10933, [2012]
8. Bhupen Deka, T. Ahmed., "Finite element methods for semilinear elliptic problems with smooth interfaces", Ind. J. Pure. Appl. Math. , vol.42 ,pp.205-223, [2011]
7. R. K. Sinha, B. Deka., "L ∞ (L2 ) and L ∞ (H1 ) - Norms Error Estimates in Finite Element for Linear Parabolic Interface Problems", Numer. Funct. Anal. & Optim. , vol.32 (3) ,pp.267-285, [2011]
6. Bhupen Deka., "Finite Element Methods with Numerical Quadrature For Elliptic Problems with Smooth Interfaces.", Journal of Computational and Applied Mathematics. , vol.234 ,pp.605-612, [2010]
5. R. K. Sinha, B. Deka., "Finite element methods for semilinear elliptic and parabolic interface problems. .", Appl. Numer. Math , vol.59 ,pp.1870-1883, [2009]
4. R. K. Sinha, B. Deka., "An unfitted finite element method for elliptic and parabolic interface problems.", IMA J. Numer. Anal. , vol.27 (3) ,pp.529-549, [2007]
3. R. K. Sinha, B. Deka., "A priori error estimates in finite element method for nonselfadjoint elliptic and parabolic interface problems.", Calcolo , vol.43 ,pp.253-278, [2006]
2. R. K. Sinha, B. Deka., "On the convergence of finite element method for elliptic interface problems.", Numerical Functional Analysis and Optimization. , vol.27 (1) ,pp.99-115, [2006]
1. R. K. Sinha, B. Deka., "Optimal error estimates for linear parabolic problems with discontinuous coefficients.", SIAM Journal of Numerical Analysis. , vol.43 (2) ,pp.733-749, [2005]
1. R. K. Sinha, B. Deka., "Finite Element Methods for Semilinear Parabolic Interface Problems", Proc. Appl. Math. Mech , vol.7 (2007) [1997] , DOI.10.1002/ Pamm. 200700162.
PostDoc Fellow
| 1 | Dr. Kallol Ray |
Research Scholars
| 1 | Puspendu Jana |
| 2 | Achyuta R Duttamohapatra |
| 1 | Papri Roy (Part Time) |
| 2 | Jogen Dutta |
| 3 | Naresh Kumar |
| 4 | Gouranga Pradhan |
| 5 | Raman Kumar |
No Project Available!
