33 citations · 60 across the 6 of their papers we have counts for
3 papers · 1 filter
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…
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…