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2020 – today
- 2022
[j6]Xuechuan Wang, Xinjun Long, Xiaokui Yue, Honghua Dai, Satya N. Atluri:
Bifurcation analysis of stick-slip vibration in a 2-DOF nonlinear dynamical system with dry friction. Commun. Nonlinear Sci. Numer. Simul. 111: 106475 (2022)- [j5]Konstantinos A. Mountris
, Leiting Dong, Yue Guan, Satya N. Atluri, Esther Pueyo:
A meshless fragile points method for the solution of the monodomain model for cardiac electrophysiology simulation. J. Comput. Sci. 65: 101880 (2022) - [i13]Honghua Dai, Zipu Yan, Xuechuan Wang, Xiaokui Yue, Satya N. Atluri:
Collocation-based harmonic balance framework for highly accurate periodic solution of nonlinear dynamical system. CoRR abs/2203.02990 (2022) - [i12]Konstantinos A. Mountris, Mingjing Li, Richard Schilling, Leiting Dong, Satya N. Atluri, Alicia Casals, Helge A. Wurdemann:
An Explicit Total Lagrangian Fragile Points Method for Finite Deformation of Hyperelastic Materials. CoRR abs/2208.05306 (2022) - 2021
- [i11]Yue Guan, Satya N. Atluri:
Meshless Fragile Points Methods Based on Petrov-Galerkin Weak-Forms for Transient Heat Conduction Problems in Complex Anisotropic Nonhomogeneous Media. CoRR abs/2101.08897 (2021) - [i10]Xuan Zhou, Shuangxin He, Leiting Dong, Satya N. Atluri:
Real-Time Prediction of Probabilistic Crack Growth with a Helicopter Component Digital Twin. CoRR abs/2105.03668 (2021) - [i9]Kailei Wang, Baoying Shen, Mingjing Li, Leiting Dong, Satya N. Atluri:
The Fragile Points Method, with an interface damage model, to simulate damage and fracture of U-notched structures. CoRR abs/2108.12737 (2021) - [i8]Konstantinos A. Mountris, Leiting Dong, Yue Guan, Satya N. Atluri, Esther Pueyo:
Meshfree implementation of the cardiac monodomain model through the Fragile Points Method. CoRR abs/2111.06975 (2021) - 2020
- [i7]Yue Guan, Rade Grujicic, Xuechuan Wang, Leiting Dong, Satya N. Atluri:
A New Meshless "Fragile Points Method" and A Local Variational Iteration Method for General Transient Heat Conduction in Anisotropic Nonhomogeneous Media. CoRR abs/2001.09034 (2020) - [i6]Yue Guan, Leiting Dong, Satya N. Atluri:
A New Meshless "Fragile Points Method (FPM)" Based on A Galerkin Weak-Form for 2D Flexoelectric Analysis. CoRR abs/2005.08839 (2020) - [i5]Yue Guan, Leiting Dong, Satya N. Atluri:
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. CoRR abs/2011.06412 (2020) - [i4]Yue Guan, Leiting Dong, Satya N. Atluri:
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. CoRR abs/2011.06413 (2020)
2010 – 2019
- 2019
- [i3]Xuechuan Wang, Qiuyi Xu, Satya N. Atluri:
A Simple Local Variational Iteration Method and Related Algorithm for Nonlinear Science and Engineering. CoRR abs/1904.11021 (2019) - [i2]Leiting Dong, Tian Yang, Kailei Wang, Satya N. Atluri:
A new Fragile Points Method (FPM) in computational mechanics, based on the concepts of Point Stiffnesses and Numerical Flux Corrections. CoRR abs/1905.08619 (2019) - [i1]Tian Yang, Leiting Dong, Satya N. Atluri:
An Elementarily Simple Galerkin Meshless Method: the Fragile Points Method (FPM) Using Point Stiffness Matrices, for 2D Elasticity Problems in Complex Domains. CoRR abs/1909.04149 (2019) - 2018
- [j4]Xuechuan Wang, Weicheng Pei, Satya N. Atluri:
Bifurcation & chaos in nonlinear structural dynamics: Novel & highly efficient optimal-feedback accelerated Picard iteration algorithms. Commun. Nonlinear Sci. Numer. Simul. 65: 54-69 (2018) - 2017
- [j3]Honghua Dai, Xuechuan Wang, Matt Schnoor, Satya N. Atluri:
Analysis of internal resonance in a two-degree-of-freedom nonlinear dynamical system. Commun. Nonlinear Sci. Numer. Simul. 49: 176-191 (2017) - 2014
- [j2]Honghua Dai, Xiaokui Yue, Jianping Yuan, Satya N. Atluri:
A time domain collocation method for studying the aeroelasticity of a two dimensional airfoil with a structural nonlinearity. J. Comput. Phys. 270: 214-237 (2014)
2000 – 2009
- 2005
- [j1]Satya N. Atluri, Shengping Shen:
The basis of meshless domain discretization: the meshless local Petrov-Galerkin (MLPG) method. Adv. Comput. Math. 23(1-2): 73-93 (2005)
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