Papers / Publications

29. Optimal A priori Error Estimates for the Finite Element Approximation of Dual-Phase-Lag Bio Heat Model in Heterogeneous Medium, accepted in Journal of Scientific Computing, with J. Dutta.

28. Error estimates in weak Galerkin finite element methods for parabolic equations under low regularity assumptions, Appl. Numer. Math. 162 (2021), 81105, with N. Kumar.

 

27. Weak Galerkin finite element methods combined with Crank-Nicolson scheme for parabolic interface
      problems
, Journal of Applied Analysis and Computation,
10 (2020), no. 4, 14331442, with P. Roy and
N. Kumar.

 

 

26. Convergence of finite element methods for hyperbolic heat conduction model with an interface,
Computers & Mathematics with Applications,
79 (2020), no. 11, 31393159,
doi.org/10.1016/j.camwa.2020.01.013,
with J. Dutta.

 

 

25. Finite element methods for the electric interface model: convergence analysis, Mathematical
      Methods in Applied Sciences,
43 (2020), no. 7, 4598-4613, DOI: 10.1002/mma.6217, with J. Dutta

and N. Kumar.

 

 

24. Finite element methods for non-Fourier thermal wave model of bio heat transfer with an interface,
     Journal of Applied Mathematics and Computing,
62 (2020), no. 1-2, 701724, doi.org/10.1007/s12190-
019-01304-8,
with J. Dutta.

 

 

23. Weak Galerkin finite element methods for electric interface model with nonhomogeneous jump conditions,
     Numer. Method for PDE,
36 (2020), no. 4, 734755, DOI:10.1002/num.22446, with P. Roy.

 

 

22. L(L2) and L(H1) norms error estimates in finite element methods for electric interface model, to
     appear in Applicable Analysis, https://doi.org/10.1080/00036811.2019.1643010,
with J. Dutta.

 

 

 

21. A least-squares-based weak Galerkin finite element method for elliptic interface problems,
      Proc. Indian Acad. Sci. (Math. Sci.),
129 (2019), no. 5, Paper No. 73, https://doi.org/10.1007/s12044-019-
0518-4,
with P. Roy.

 

 

20. A priori L(L2) error estimates for finite element approximations to parabolic integro-differential
     equations with discontinuous coefficients
, Proc. Indian Acad. Sci. (Math. Sci.),
129 (2019), no. 4, Paper
No. 49
, https://doi.org/10.1007/s12044-019-0494-8, with R. C. Deka

 

 

19. A posteriori error estimates for finite element approximations to the wave equation with discontinuous
     coefficients
, Numer. Method for PDE, 35 (2019), 1630-1653.

 

 

18. Weak Galerkin finite element methods for parabolic interface problems with nonhomogeneous jump
      conditions
, Numer. Funct. Anal. Optim., 40 (2019), 259-279,
with P. Roy.

17. A weak Galerkin finite element method for elliptic interface problems with polynomial reduction, Numer.
      Math. Theory Methods Appl.,  11 (2018), 655-672
.

 

16. A priori L(L2) error estimates for finite element approximations to the wave equation with interface,
      Applied Numer. Math., 115 (2017), 142-159.

 

15. Quadrature based finite element methods for linear parabolic interface problemsBull. Korean
      Math. Soc., 51 (2014), 717-737
,
with R. C. Deka.

 

14. Finite element method with quadrature for parabolic interface problems, Neural Parallel Sci. Comput., 21  
     (2013),
477496
, with R. K. Sinha, R. C. Deka and T. Ahmed.

 

13. Finite element method for a class of parabolic integro-differential equations with interfaces, Ind. J. Pure.
     and Appl. Math.,
 44 (2013), 823847, with R. C. Deka.

 

12. Zeros of Ttrigonometric Like Functions via Two Point Boundary Value Problems, Math. Forum, 25
      (2012/13),
114, with S. Deka.

 

11. Convergence of finite element method for linear second order wave equations with discontinuous  
     coefficients
, Numer. Method for PDE, 29 (2013), 1522-1542,
with T. Ahmed.

 

10. Finite element methods for second order linear hyperbolic interface problems, Appl. Math. Comput., 218
      (2012), 10922-10933,
with R. K. Sinha.

 

9. Semidiscrete finite element methods for linear and semilinear parabolic problems with smooth interfaces:
    some new optimal error estimates
, Numer. Funct. Anal. Optim., 33 (2012), 524-544,
with T. Ahmed.

 

8. Finite element methods for semilinear elliptic problems with smooth interfaces, Ind. J. Pure. Appl. Math.,  
    42, 2011, pp. 205-223
,
with T. Ahmed.

7. L(L2) and L(H1) norms error estimates in finite element method for linear parabolic interface problems,
    Numer. Funct. Anal. Optim., 32 (2011),  267-285,
with R. K. Sinha.

 

6. Finite Element Methods with Numerical Quadrature For Elliptic Problems with Smooth Interfaces, J. Comput.
    Appl. Math.,
234 (2010),  605-612.

 

5. Finite element methods for semilinear elliptic and parabolic interface problems, Appl. Numer. Math., 59
    (2009), 1870-1883
,
with R. K. Sinha.

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

 

3. A priori error estimates in finite element method for non selfadjoint elliptic and parabolic interface problems,

    Calcolo, 43 (2006),  253 278, with R. K. Sinha.

 

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

 

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