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
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.
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 |
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