Crossref Citations
This article has been cited by the following publications. This list is generated based on data provided by
Crossref.
Du, Qiang
Gunzburger, Max
Lehoucq, R. B.
and
Zhou, Kun
2012.
Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints.
SIAM Review,
Vol. 54,
Issue. 4,
p.
667.
Hinds, Brittney
and
Radu, Petronela
2012.
Dirichlet’s principle and wellposedness of solutions for a nonlocal p-Laplacian system.
Applied Mathematics and Computation,
Vol. 219,
Issue. 4,
p.
1411.
Wang, Hong
and
Tian, Hao
2012.
A fast Galerkin method with efficient matrix assembly and storage for a peridynamic model.
Journal of Computational Physics,
Vol. 231,
Issue. 23,
p.
7730.
MENGESHA, TADELE
2012.
NONLOCAL KORN-TYPE CHARACTERIZATION OF SOBOLEV VECTOR FIELDS.
Communications in Contemporary Mathematics,
Vol. 14,
Issue. 04,
p.
1250028.
Erbay, H.A.
Erkip, A.
and
Muslu, G.M.
2012.
The Cauchy problem for a one-dimensional nonlinear elastic peridynamic model.
Journal of Differential Equations,
Vol. 252,
Issue. 8,
p.
4392.
DU, QIANG
GUNZBURGER, MAX
LEHOUCQ, R. B.
and
ZHOU, KUN
2013.
A NONLOCAL VECTOR CALCULUS, NONLOCAL VOLUME-CONSTRAINED PROBLEMS, AND NONLOCAL BALANCE LAWS.
Mathematical Models and Methods in Applied Sciences,
Vol. 23,
Issue. 03,
p.
493.
Shen, Feng
Zhang, Qing
and
Huang, Dan
2013.
Damage and Failure Process of Concrete Structure under Uniaxial Compression Based on Peridynamics Modeling.
Mathematical Problems in Engineering,
Vol. 2013,
Issue. ,
p.
1.
Du, Qiang
Gunzburger, Max
Lehoucq, R. B.
and
Zhou, Kun
2013.
Analysis of the Volume-Constrained Peridynamic Navier Equation of Linear Elasticity.
Journal of Elasticity,
Vol. 113,
Issue. 2,
p.
193.
Du, Qiang
Tian, Li
and
Zhao, Xuying
2013.
A Convergent Adaptive Finite Element Algorithm for Nonlocal Diffusion and Peridynamic Models.
SIAM Journal on Numerical Analysis,
Vol. 51,
Issue. 2,
p.
1211.
Emmrich, Etienne
Lehoucq, Richard B.
and
Puhst, Dimitri
2013.
Meshfree Methods for Partial Differential Equations VI.
Vol. 89,
Issue. ,
p.
45.
Mengesha, Tadele
and
Du, Qiang
2013.
Analysis of a scalar nonlocal peridynamic model with a sign changing kernel.
Discrete & Continuous Dynamical Systems - B,
Vol. 18,
Issue. 5,
p.
1415.
Seleson, Pablo
Gunzburger, Max
and
Parks, Michael L.
2013.
Interface problems in nonlocal diffusion and sharp transitions between local and nonlocal domains.
Computer Methods in Applied Mechanics and Engineering,
Vol. 266,
Issue. ,
p.
185.
Tian, Xiaochuan
and
Du, Qiang
2013.
Analysis and Comparison of Different Approximations to Nonlocal Diffusion and Linear Peridynamic Equations.
SIAM Journal on Numerical Analysis,
Vol. 51,
Issue. 6,
p.
3458.
Mengesha, Tadele
and
Du, Qiang
2014.
Nonlocal Constrained Value Problems for a Linear Peridynamic Navier Equation.
Journal of Elasticity,
Vol. 116,
Issue. 1,
p.
27.
Gu, Xian-Ming
Huang, Ting-Zhu
Zhao, Xi-Le
Xu, Wei-Ru
Li, Hou-Biao
and
Li, Liang
2014.
Circulant preconditioned iterative methods for peridynamic model simulation.
Applied Mathematics and Computation,
Vol. 248,
Issue. ,
p.
470.
D'Elia, Marta
and
Gunzburger, Max
2014.
Optimal Distributed Control of Nonlocal Steady Diffusion Problems.
SIAM Journal on Control and Optimization,
Vol. 52,
Issue. 1,
p.
243.
Bellido, José C.
and
Mora-Corral, Carlos
2014.
Existence for Nonlocal Variational Problems in Peridynamics.
SIAM Journal on Mathematical Analysis,
Vol. 46,
Issue. 1,
p.
890.
Tian, Xiaochuan
and
Du, Qiang
2014.
Asymptotically Compatible Schemes and Applications to Robust Discretization of Nonlocal Models.
SIAM Journal on Numerical Analysis,
Vol. 52,
Issue. 4,
p.
1641.
Aksoylu, Burak
and
Unlu, Zuhal
2014.
Conditioning Analysis of Nonlocal Integral Operators in Fractional Sobolev Spaces.
SIAM Journal on Numerical Analysis,
Vol. 52,
Issue. 2,
p.
653.
Wang, Hong
and
Tian, Hao
2014.
A fast and faithful collocation method with efficient matrix assembly for a two-dimensional nonlocal diffusion model.
Computer Methods in Applied Mechanics and Engineering,
Vol. 273,
Issue. ,
p.
19.