7 citations · 7 across the 5 of their papers we have counts for
7 papers
Convergence Analysis of Virtual Element Method for Nonlinear Nonlocal Dynamic Plate Equation
D. Adak, D. Mora, S. Natarajan
In this article, we have considered a nonlinear nonlocal time dependent fourth order equation demonstrating the deformation of a thin and narrow rectangular plate. We propose …
Neural-network acceleration of projection-based model-order-reduction for finite plasticity: Application to RVEs
S. Vijayaraghavan, L. Wu, L. Noels +3
Compared to conventional projection-based model-order-reduction, its neural-network acceleration has the advantage that the online simulations are equation-free, meaning that no sy…
Virtual element approximation of two-dimensional parabolic variational inequalities
Dibyendu Adak, Gianmarco Manzini, Sundararajan Natarajan
We design a virtual element method for the numerical treatment of the two-dimensional parabolic variational inequality problem on unstructured polygonal meshes. Due to the expected…
Adaptive phase field modelling of crack propagation in orthotropic functionally graded materials
Hirshikesh, Emilio Martínez-Pañeda, Sundararajan Natarajan
In this work, we extend the recently proposed adaptive phase field method to model fracture in orthotropic functionally graded materials (FGMs). A recovery type error indicator com…
Continuum modelling of stress diffusion interactions in an elastoplastic medium in the presence of geometric discontinuity
Rupesh Kumar Mahendran, Hirshikesh, Ratna Kumar Annabattula +1
Chemo-mechanical coupled systems have been a subject of interest for many decades now. Previous attempts to solve such models have mainly focused on elastic materials without takin…
Virtual element method for semilinear sine-Gordon equation over polygonal mesh using product approximation technique
Dibyendu Adak, Sundararajan Natarajan
In this paper, we employ the linear virtual element spaces to discretize the semilinear sine-Gordon equation in two dimensions. The salient features of the virtual element method (…