Closed-form higher-order numerical differentiators for differentiating noisy signals. - Chein-Shan Liu; Leiting Dong (Appl. Math. Comput., 2019)

A new Fragile Points Method (FPM) in computational mechanics, based on the concepts of Point Stiffnesses and Numerical Flux Corrections. - Leiting Dong; Tian Yang; Kailei Wang; Satya N. Atluri (CoRR, 2019)

An Elementarily Simple Galerkin Meshless Method: the Fragile Points Method (FPM) Using Point Stiffness Matrices, for 2D Elasticity Problems in Complex Domains. - Tian Yang; Leiting Dong; Satya N. Atluri (CoRR, 2019)

A New Meshless "Fragile Points Method" and A Local Variational Iteration Method for General Transient Heat Conduction in Anisotropic Nonhomogeneous Media. - Yue Guan; Rade Grujicic; Xuechuan Wang; Leiting Dong; Satya N. Atluri (CoRR, 2020)

A New Meshless "Fragile Points Method (FPM)" Based on A Galerkin Weak-Form for 2D Flexoelectric Analysis. - Yue Guan; Leiting Dong; Satya N. Atluri (CoRR, 2020)

A New Meshless Fragile Points Method (FPM) With Minimum Unknowns at Each Point, For Flexoelectric Analysis Under Two Theories with Crack Propagation. Part I: Theory and Implementation. - Yue Guan; Leiting Dong; Satya N. Atluri (CoRR, 2020)

A New Meshless Fragile Points Method (FPM) With Minimum Unknowns at Each Point, For Flexoelectric Analysis Under Two Theories with Crack Propagation. Part II: Validation and discussion. - Yue Guan; Leiting Dong; Satya N. Atluri (CoRR, 2020)

Real-Time Prediction of Probabilistic Crack Growth with a Helicopter Component Digital Twin. - Xuan Zhou; Shuangxin He; Leiting Dong; Satya N. Atluri (CoRR, 2021)

The Fragile Points Method, with an interface damage model, to simulate damage and fracture of U-notched structures. - Kailei Wang; Baoying Shen; Mingjing Li; Leiting Dong; Satya N. Atluri (CoRR, 2021)

Meshfree implementation of the cardiac monodomain model through the Fragile Points Method. - Konstantinos A. Mountris; Leiting Dong; Yue Guan; Satya N. Atluri; Esther Pueyo (CoRR, 2021)

An Explicit Total Lagrangian Fragile Points Method for Finite Deformation of Hyperelastic Materials. - Konstantinos A. Mountris; Mingjing Li; Richard Schilling; Leiting Dong; Satya N. Atluri; Alicia Casals; Helge A. Wurdemann (CoRR, 2022)

A Fuzzy-set-based Joint Distribution Adaptation Method for Regression and its Application to Online Damage Quantification for Structural Digital Twin. - Xuan Zhou; Claudio Sbarufatti; Marco Giglio; Leiting Dong (CoRR, 2022)

A meshless fragile points method for the solution of the monodomain model for cardiac electrophysiology simulation. - Konstantinos A. Mountris; Leiting Dong; Yue Guan; Satya N. Atluri; Esther Pueyo (J. Comput. Sci., 2022)