33 citations · 60 across the 6 of their papers we have counts for
6 papers
Continuum Limit of Nonlocal Electrostatics in Random Media
Prashant K. Jha, Kaushik Dayal
We derive a two-scale continuum limit for the electrostatic energy of random charge density fields that are stationary and ergodic under lattice translations. Each microscopic cell…
Model-Informed Joint Material-Structural Optimization of Hard-Magnetic Soft Materials
Ian Galloway, Prashant K. Jha
This work develops a model-informed framework for predictive analysis and optimal design of hard-magnetic soft materials (hMSMs). These materials undergo contact-free, field-driven…
Nodal finite element approximation of peridynamics
Prashant K. Jha, Patrick Diehl, Robert Lipton
This work considers the nodal finite element approximation of peridynamics, in which the nodal displacements satisfy the peridynamics equation at each mesh node. For the nonlinear…
Discrete-to-Continuum Limits of Long-Range Electrical Interactions in Nanostructures
Prashant K. Jha, Timothy Breitzman, Kaushik Dayal
We consider electrostatic interactions in two classes of nanostructures embedded in a three dimensional space: (1) helical nanotubes, and (2) thin films with uniform bending (i.e.,…
Residual-based error correction for neural operator accelerated infinite-dimensional Bayesian inverse problems
Lianghao Cao, Thomas O'Leary-Roseberry, Prashant K. Jha +2
We explore using neural operators, or neural network representations of nonlinear maps between function spaces, to accelerate infinite-dimensional Bayesian inverse problems (BIPs)…
Numerical convergence of nonlinear nonlocal continuum models to local elastodynamics
Prashant K. Jha, Robert Lipton
We quantify the numerical error and modeling error associated with replacing a nonlinear nonlocal bond-based peridynamic model with a local elasticity model or a linearized peridyn…