Stability of nonlocal Dirichlet integrals and implications for peridynamic correspondence material modeling

Qiang Du, Xiaochuan Tian

Type: Preprint

Publication Date: 2017-01-01

Citations: 0

DOI: https://doi.org/10.48550/arxiv.1710.05119

View Publication

Locations

arXiv (Cornell University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Stability of Nonlocal Dirichlet Integrals and Implications for Peridynamic Correspondence Material Modeling	2018	Qiang Du Xiaochuan Tian
+ PDF Chat	Nonlocal gradient operators with a nonspherical interaction neighborhood and their applications	2019	Hwi Lee Qiang Du
+	Nonlocal gradient operators with a nonspherical interaction neighborhood and their applications	2019	Hwi Lee Qiang Du
+	A Generalized Nonlocal Calculus with Application to the Peridynamics Model for Solid Mechanics	2014	Bacim Alali Kuo Liu Max Gunzburger
+ PDF Chat	Nonlocal Operator Method for Solving Partial Differential Equations: State-of-the-Art Review and Future Perspectives	2022	Yongzheng Zhang Huilong Ren Timon Rabczuk
+	Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints	2012	Qiang Du Max Gunzburger Richard B. Lehoucq Kun Zhou
+ PDF Chat	Solvability of nonlocal systems related to peridynamics	2018	Moritz Kaßmann Tadele Mengesha J. F. Scott
+	Solvability of nonlocal systems related to peridynamics	2018	Moritz Kaßmann Tadele Mengesha James M. Scott
+	Solvability of nonlocal systems related to peridynamics	2018	Moritz Kaßmann Tadele Mengesha J. F. Scott
+ PDF Chat	Nonlocal half-ball vector operators on bounded domains: Poincaré inequality and its applications	2023	Zhaolong Han Xiaochuan Tian
+	Minimizers of Nonlocal Polyconvex Energies in Nonlocal Hyperelasticity	2022	José C. Bellido Javier Cueto Carlos Mora-Corral
+	A review of Local-to-Nonlocal coupling methods in nonlocal diffusion and nonlocal mechanics	2019	Marta D’Elia Xingjie Li Pablo Seleson Xiaochuan Tian Yue Yu
+ PDF Chat	A Note on Explicit Convergence Rates of Nonlocal Peridynamic Operators in $L^q$-Norm	2024	Adam Larios Isabel Safarik
+	Nonlocal half-ball vector operators on bounded domains: Poincaré inequality and its applications	2022	Zhaolong Han Xiaochuan Tian
+	On the prescription of boundary conditions for nonlocal Poisson's and peridynamics models	2021	Marta D’Elia Yue Yu
+ PDF Chat	Minimizers of nonlocal polyconvex energies in nonlocal hyperelasticity	2023	José C. Bellido Javier Cueto Carlos Mora-Corral
+	Analysis and Comparison of Different Approximations to Nonlocal Diffusion and Linear Peridynamic Equations	2013	Xiaochuan Tian Qiang Du
+	Formulation, analysis and computation of an optimization-based local-to-nonlocal coupling method	2019	Marta D’Elia Pavel B. Bochev
+	Formulation, analysis and computation of an optimization-based local-to-nonlocal coupling method	2020	Marta D’Elia Pavel Bochev
+	Formulation analysis and computation of an optimization-based local-to-nonlocal coupling method	2019	Marta D’Elia Pavel Bochev

Works That Cite This (0)

Action	Title	Year	Authors

Works Cited by This (1)

Action	Title	Year	Authors
+ PDF Chat	Image Recovery via Nonlocal Operators	2009	Yifei Lou Xiaoqun Zhang Stanley Osher Andrea L. Bertozzi