activity
20192022
most citedA New Meshless "Fragile Points Method" and A Local Variational Iteration Method for General Transient Heat Conduction in Anisotropic Nonhomogeneous Media

3 citations · 9 across the 6 of their papers we have counts for

collaborators

10 papers

math.NA2022

Collocation-based harmonic balance framework for highly accurate periodic solution of nonlinear dynamical system

Honghua Dai, Zipu Yan, Xuechuan Wang +2

Periodic dynamical systems ubiquitously exist in science and engineering. The harmonic balance (HB) method and its variants have been the most widely-used approaches for such syste…

math.NA20213 cited

Meshless Fragile Points Methods Based on Petrov-Galerkin Weak-Forms for Transient Heat Conduction Problems in Complex Anisotropic Nonhomogeneous Media

Yue Guan, Satya N. Atluri

Three kinds of Fragile Points Methods based on Petrov-Galerkin weak-forms (PG-FPMs) are proposed for analyzing heat conduction problems in nonhomogeneous anisotropic media. This is…

math.NA2020

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

In the first part of this two-paper series, a new Fragile Points Method (FPM), in both primal and mixed formulations, is presented for analyzing flexoelectric effects in 2D dielect…

math.NA20203 cited

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

Flexoelectricity refers to a phenomenon which involves a coupling of the mechanical strain gradient and electric polarization. In this study, a meshless Fragile Points Method (FPM)…

cs.CE2020

A New Meshless "Fragile Points Method (FPM)" Based on A Galerkin Weak-Form for 2D Flexoelectric Analysis

Yue Guan, Leiting Dong, Satya N. Atluri

A meshless Fragile Points Method (FPM) is presented for analyzing 2D flexoelectric problems. Local, simple, polynomial and discontinuous trial and test functions are generated with…

cs.CE20203 cited

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 +2

A new and effective computational approach is presented for analyzing transient heat conduction problems. The approach consists of a meshless Fragile Points Method (FPM) being util…