3 papers
cs.LG2025
PINNs Algorithmic Framework for Simulation of Nonlinear Burgers' Type Models
Ajeet Singh, Ram Jiwari, Vikram +1
In this work, a physics-informed neural networks (PINNs) based algorithm is used for simulation of nonlinear 1D and 2D Burgers' type models. This scheme relies on a neural network…
math.NA2024
Finite Element Simulation of Modified Poisson-Nernst-Planck/Navier-Stokes Model for Compressible Electrolytes under Mechanical Equilibrium
Ankur, Ram Jiwari, Satyvir Singh
This work presents a finite element method for a modified Poisson-Nernst-Planck/Navier-Stokes (PNP/NS) model under the mechanical equilibrium, developed for compressible electrolyt…
math.NA2024
Conformal Finite Element Methods for Nonlinear Rosenau-Burgers-Biharmonic Models
Ankur, Ram Jiwari, Akil Narayan
We present a novel and comparative analysis of finite element discretizations for a nonlinear Rosenau-Burgers model including a biharmonic term. We analyze both continuous and mixe…