Article-Journal

Nodal finite element approximation of peridynamics

In this work, nodal finite element discretization is detailed.

Mar 11, 2024
Residual-based error corrector operator to enhance accuracy and reliability of neural operator surrogates of nonlinear variational boundary-value problems

Topology optimization of the diffusivity field in a nonlinear diffusion model. Neural operator and neural operator with corrector employed as a surrogate of the forward model. Comparing the optimizers of the topology optimization problem for different cases (1) true forward model, (2) neural operator surrogate of the forward model, and (3) neural operator with corrector.

Jun 21, 2023
Discrete-to-Continuum Limits of Long-Range Electrical Interactions in Nanostructures

Apr 1, 2023
Residual-Based Error Correction for Neural Operator Accelerated Infinite-Dimensional Bayesian Inverse Problems

Residual-based error corrector technique is proposed and applied to improve the neural operator predictions for Bayesian inference problems.

Mar 31, 2023
Goal-Oriented A-Posteriori Estimation of Model Error as an Aid to Parameter Estimation

Dec 1, 2022
Atomic-to-Continuum Multiscale Modeling of Defects in Crystals with Nonlocal Electrostatic Interactions

Oct 9, 2022
Mutual-Information Based Optimal Experimental Design for Hyperpolarized 13C-Pyruvate MRI

Jun 24, 2022
NLMech: Implementation of Finite Difference/Meshfree Discretization of Nonlocal Fracture Models

Sep 29, 2021
Modeling and Simulation of Vascular Tumors Embedded in Evolving Capillary Networks

Jun 18, 2021
Biologically-Based Mathematical Modeling of Tumor Vasculature and Angiogenesis via Time-Resolved Imaging Data

Jun 16, 2021