2 citations · 3 across the 7 of their papers we have counts for
8 papers
Minimizers for the Cahn-Hilliard energy functional with the Flory-Huggins potential under strong anchoring conditions
Shibin Dai, Abba Ramadan, Natasha Sharma
In this paper, we theoretically and numerically study the minimizers for the Cahn-Hilliard energy with the Flory-Huggins potential under the strong anchoring condition, i.e., the D…
An unconditionally stable hybridizable-embedded discontinuous Galerkin method for the phase field crystal equation
Giselle Saylor, Tamas L. Horvath, Natasha S. Sharma
This paper presents a first-order convex splitting hybridizable/embedded discontinuous Galerkin method for the phase field crystal equation written in mixed form. Since the sixth-o…
More uses for Thermal Models
Natasha Sharma, Lokesh Kumar, Sourendu Gupta
We explore combinations of particle and anti-particle yields which can be used to test thermal models in a parameter free way. We also explore combinations which can be used to ext…
Unconditionally Energy Stable Second Order Numerical Scheme for a Microemulsion model
Natasha S. Sharma, Giordano Tierra
We present a numerical scheme for solving a sixth-order Cahn-Hilliard type equation that captures the dynamics of phase transitions in a ternary mixture consisting of two immiscibl…
Canonical treatment of strangeness and light nuclei production
Natasha Sharma
The canonical effects on strangeness and light nuclei production in high energy collisions are investigated, with a particular focus on low multiplicity events observed in small co…
Robust a-posteriori error estimates for weak Galerkin method for the convection-diffusion problem
Natasha Sharma
We present a robust a posteriori error estimator for the weak Galerkin finite element method applied to stationary convection-diffusion equations in the convection-dominated regime…
A C0 Interior Penalty Method for the Phase Field Crystal Equation
Amanda E. Diegel, Natasha Sharma
We present a C0 interior penalty finite element method for the sixth-order phase field crystal equation. We demonstrate that the numerical scheme is uniquely solvable, unconditiona…
A Contraction Property of an Adaptive Divergence-Conforming Discontinuous Galerkin Method for the Stokes Problem
Natasha Sharma, Guido Kanschat
We prove the contraction property for two successive loops of the adaptive algorithm for the Stokes problem reducing the error of the velocity. The problem is discretized by a dive…