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), 81–105, with N. Kumar.
27. Weak Galerkin finite element
methods combined with Crank-Nicolson scheme for parabolic interface 26. Convergence of finite element methods for hyperbolic heat
conduction model with an interface, 25. Finite element methods for the electric interface model:
convergence analysis, Mathematical and N. Kumar. 24. Finite element methods for non-Fourier thermal wave model
of bio heat transfer with an interface, 23. Weak Galerkin finite element
methods for electric interface model with nonhomogeneous
jump conditions, 22. L∞(L2) and L∞(H1)
norms error estimates in finite element methods for electric interface model,
to 21. A least-squares-based weak Galerkin
finite element method for elliptic interface problems, 20. A
priori L∞(L2) error estimates for finite element
approximations to parabolic integro-differential 19. A
posteriori error estimates for finite element approximations to the wave
equation with discontinuous 18. Weak
Galerkin finite element methods for parabolic
interface problems with nonhomogeneous jump 17. A
weak Galerkin finite element method for elliptic
interface problems with polynomial reduction, Numer.
16. A priori L∞(L2)
error estimates for finite element approximations to the wave equation with
interface, 15. Quadrature
based finite element methods for linear parabolic interface problems,
Bull. Korean 14. Finite element
method with quadrature for parabolic interface
problems, Neural Parallel Sci. Comput., 21 13. Finite element
method for a class of parabolic integro-differential
equations with interfaces, Ind. J. Pure. 12. Zeros of Ttrigonometric Like Functions via Two Point Boundary Value
Problems, Math. Forum, 25 11. Convergence of
finite element method for linear second order wave equations with
discontinuous 10. Finite element
methods for second order linear hyperbolic interface problems, Appl. Math. Comput., 218 9. Semidiscrete
finite element methods for linear and semilinear
parabolic problems with smooth interfaces: 8. Finite element
methods for semilinear elliptic problems with
smooth interfaces, Ind. J. Pure. Appl. Math., 7. L∞(L2)
and L∞(H1) norms error estimates in finite
element method for linear parabolic interface problems,
6. Finite Element
Methods with Numerical Quadrature For Elliptic
Problems with Smooth Interfaces, J.
Comput.
5. Finite element
methods for semilinear elliptic and parabolic
interface problems, Appl. Numer. Math., 59 4. An unfitted finite
element method for elliptic and time dependent parabolic interface problems, IMA J. Numer.
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.
1. Optimal error estimates
for linear parabolic problems with discontinuous coefficients, SIAM J. Numer. Anal., 43
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