activity
20152026
most citedBernstein dual-Petrov-Galerkin method: application to 2D time fractional diffusion equation

12 citations · 21 across the 8 of their papers we have counts for

collaborators

9 papers

math.GM2026

Computational modeling of crack-tip fields in transversely isotropic strain-limiting solids subjected to piecewise linear slope loads

S. M. Mallikarjunaiah, Saugata Ghosh, Dambaru Bhatta

Crack-tip fields within a transversely isotropic strain-limiting elastic body are investigated under the influence of piecewise linear slope boundary loads. The mechanical response…

math.NA2025

A finite element model for thermomechanical stress-strain fields in transversely isotropic strain-limiting materials

Saugata Ghosh, Dambaru Bhatta, S. M. Mallikarjunaiah

This paper presents a comprehensive computational framework for investigating thermo-elastic fracture in transversely isotropic materials, where classical linear elasticity fails t…

math.NA2025

Computational investigation of crack-tip fields in a compressed nonlinear strain-limiting material

Dambaru Bhatta, Saugata Ghosh, S. M. Mallikarjunaiah

A finite element framework is presented for the analysis of crack-tip phenomena in an elastic material containing a single edge crack under compressive loading. The mechanical resp…

math.NA2025★ 1 cited

Computational Insights into Orthotropic Fracture: Crack-Tip Fields in Strain-Limiting Materials under Non-Uniform Loads

Saugata Ghosh, Dambaru Bhatta, S. M. Mallikarjunaiah

A finite element framework is presented for analyzing crack-tip phenomena in transversely isotropic, strain-limiting elastic materials. Mechanical response is characterized by an a…

math.NA2025★ 1 cited

A finite element model to analyze crack-tip fields in a transversely isotropic strain-limiting elastic solid

Saugata Ghosh, Dambaru Bhatta, S. M. Mallikarjunaiah

This paper presents a finite element model for the analysis of crack-tip fields in a transversely isotropic strain-limiting elastic body. A nonlinear constitutive relationship betw…

math.NA2024★ 2 cited

A Finite Element Model for Hydro-thermal Convective Flow in a Porous Medium: Effects of Hydraulic Resistivity and Thermal Diffusivity

S. M. Mallikarjunaiah, Dambaru Bhatta

In this article, a finite element model is implemented to analyze hydro-thermal convective flow in a porous medium. The mathematical model encompasses Darcy's law for incompressibl…

math.NA2022

Preferential stiffness and the crack-tip fields of an elastic porous solid based on the density-dependent moduli model

Hyun C. Yoon, S. M. Mallikarjunaiah, Dambaru Bhatta

In this paper, we study the preferential stiffness and the crack-tip fields for an elastic porous solid of which material properties are dependent upon the density. Such a descript…

math.NA2016★ 12 cited

Bernstein dual-Petrov-Galerkin method: application to 2D time fractional diffusion equation

Mostafa Jani, Shahnam Javadi, Esmail Babolian +1

In this paper, we develop a Bernstein dual-Petrov-Galerkin method for the numerical simulation of a two-dimensional fractional diffusion equation. A spectral discretization is appl…

math.NA2015★ 5 cited

Banded operational matrices for Bernstein polynomials and application to the fractional advection-dispersion equation

M. Jani, E. Babolian, S. Javadi +1

In the papers dealing with derivation and applications of operational matrices of Bernstein polynomials, a basis transformation, commonly a transformation to power basis, is used.…