Mathematical analysis for the peridynamic nonlocal continuum theory
ESAIM: M2AN, 45 2 (2011) 217-234
Published online: 2010-08-02
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Analysis and Comparison of Different Approximations to Nonlocal Diffusion and Linear Peridynamic Equations
Xiaochuan Tian and Qiang DuSIAM Journal on Numerical Analysis 51 (6) 3458 (2013)
https://doi.org/10.1137/13091631X
Analysis of a scalar nonlocal peridynamic model with a sign changing kernel
Tadele Mengesha and Qiang DuDiscrete & Continuous Dynamical Systems - B 18 (5) 1415 (2013)
https://doi.org/10.3934/dcdsb.2013.18.1415
Interface problems in nonlocal diffusion and sharp transitions between local and nonlocal domains
Pablo Seleson, Max Gunzburger and Michael L. ParksComputer Methods in Applied Mechanics and Engineering 266 185 (2013)
https://doi.org/10.1016/j.cma.2013.05.018
Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints
Qiang Du, Max Gunzburger, R. B. Lehoucq and Kun ZhouSIAM Review 54 (4) 667 (2012)
https://doi.org/10.1137/110833294
A fast Galerkin method with efficient matrix assembly and storage for a peridynamic model
Hong Wang and Hao TianJournal of Computational Physics 231 (23) 7730 (2012)
https://doi.org/10.1016/j.jcp.2012.06.009
The Cauchy problem for a one-dimensional nonlinear elastic peridynamic model
H.A. Erbay, A. Erkip and G.M. MusluJournal of Differential Equations 252 (8) 4392 (2012)
https://doi.org/10.1016/j.jde.2012.01.008
NONLOCAL KORN-TYPE CHARACTERIZATION OF SOBOLEV VECTOR FIELDS
TADELE MENGESHACommunications in Contemporary Mathematics 14 (04) 1250028 (2012)
https://doi.org/10.1142/S0219199712500289
A fast Galerkin method with efficient matrix assembly and storage for a peridynamic model
Hong Wang and Hao TianJournal of Computational Physics (2012)
https://doi.org/10.1016/j.jcp.2012.07.045
Dirichlet’s principle and wellposedness of solutions for a nonlocal p-Laplacian system
Brittney Hinds and Petronela RaduApplied Mathematics and Computation 219 (4) 1411 (2012)
https://doi.org/10.1016/j.amc.2012.07.045