Edit Profile (opens in new tab) Weckner, Olaf Co-Author Distance Author ID: weckner.olaf Published as: Weckner, Olaf; Weckner, O. External Links: MGP Documents Indexed: 11 Publications since 2005 Co-Authors: 13 Co-Authors with 11 Joint Publications 187 Co-Co-Authors all top 5 Co-Authors 0 single-authored 5 Silling, Stewart A. 4 Emmrich, Etienne 3 Askari, Ebrahim 3 Epton, Michael A. 2 Xu, Jifeng 1 Abeyaratne, Rohan C. 1 Askari, Abe 1 Bobaru, Florin 1 Breitenfeld, M. S. 1 Brunk, Gerd 1 Geubelle, Philippe H. 1 Mohamed, Nik Abdullah Nik 1 Warren, Thomas L. all top 5 Serials 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Solids and Structures 1 Journal of the Mechanics and Physics of Solids 1 Applied Mathematics and Computation 1 Journal of Elasticity 1 Mathematics and Mechanics of Solids 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Computational and Applied Mechanics 1 Mathematical Modelling and Analysis 1 Communications in Mathematical Sciences 1 International Journal of Fracture all top 5 Fields 11 Mechanics of deformable solids (74-XX) 2 Partial differential equations (35-XX) 2 Integral equations (45-XX) 2 Numerical analysis (65-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 11 Publications have been cited 863 times in 479 Documents Cited by ▼ Year ▼ Peridynamic states and constitutive modeling. Zbl 1120.74003 Silling, S. A.; Epton, M.; Weckner, O.; Xu, J.; Askari, E. 386 2007 On the well-posedness of the linear peridynamic model and its convergence towards the Navier equation of linear elasticity. Zbl 1133.35098 Emmrich, Etienne; Weckner, Olaf 78 2007 Crack nucleation in a peridynamic solid. Zbl 1425.74045 Silling, S. A.; Weckner, O.; Askari, E.; Bobaru, F. 76 2010 Non-ordinary state-based peridynamic analysis of stationary crack problems. Zbl 1296.74099 Breitenfeld, M. S.; Geubelle, P. H.; Weckner, O.; Silling, S. A. 69 2014 The effect of long-range forces on the dynamics of a bar. Zbl 1122.74431 Weckner, Olaf; Abeyaratne, Rohan 68 2005 A non-ordinary state-based peridynamic method to model solid material deformation and fracture. Zbl 1236.74012 Warren, Thomas L.; Silling, Stewart A.; Askari, Abe; Weckner, Olaf; Epton, Michael A.; Xu, Jifeng 66 2009 Analysis and numerical approximation of an integro-differential equation modeling non-local effects in linear elasticity. Zbl 1175.74013 Emmrich, Etienne; Weckner, Olaf 42 2007 The peridynamic equation and its spatial discretisation. Zbl 1121.65073 Emmrich, E.; Weckner, O. 38 2007 Numerical simulation of the dynamics of a nonlocal inhomogeneous infinite bar. Zbl 1097.74036 Weckner, O.; Emmrich, E. 15 2005 Viscoelastic material models in peridynamics. Zbl 1273.74038 Weckner, Olaf; Mohamed, Nik Abdullah Nik 15 2013 Green’s functions in non-local three-dimensional linear elasticity. Zbl 1186.74018 Weckner, Olaf; Brunk, Gerd; Epton, Michael A.; Silling, Stewart A.; Askari, Ebrahim 10 2009 Non-ordinary state-based peridynamic analysis of stationary crack problems. Zbl 1296.74099 Breitenfeld, M. S.; Geubelle, P. H.; Weckner, O.; Silling, S. A. 69 2014 Viscoelastic material models in peridynamics. Zbl 1273.74038 Weckner, Olaf; Mohamed, Nik Abdullah Nik 15 2013 Crack nucleation in a peridynamic solid. Zbl 1425.74045 Silling, S. A.; Weckner, O.; Askari, E.; Bobaru, F. 76 2010 A non-ordinary state-based peridynamic method to model solid material deformation and fracture. Zbl 1236.74012 Warren, Thomas L.; Silling, Stewart A.; Askari, Abe; Weckner, Olaf; Epton, Michael A.; Xu, Jifeng 66 2009 Green’s functions in non-local three-dimensional linear elasticity. Zbl 1186.74018 Weckner, Olaf; Brunk, Gerd; Epton, Michael A.; Silling, Stewart A.; Askari, Ebrahim 10 2009 Peridynamic states and constitutive modeling. Zbl 1120.74003 Silling, S. A.; Epton, M.; Weckner, O.; Xu, J.; Askari, E. 386 2007 On the well-posedness of the linear peridynamic model and its convergence towards the Navier equation of linear elasticity. Zbl 1133.35098 Emmrich, Etienne; Weckner, Olaf 78 2007 Analysis and numerical approximation of an integro-differential equation modeling non-local effects in linear elasticity. Zbl 1175.74013 Emmrich, Etienne; Weckner, Olaf 42 2007 The peridynamic equation and its spatial discretisation. Zbl 1121.65073 Emmrich, E.; Weckner, O. 38 2007 The effect of long-range forces on the dynamics of a bar. Zbl 1122.74431 Weckner, Olaf; Abeyaratne, Rohan 68 2005 Numerical simulation of the dynamics of a nonlocal inhomogeneous infinite bar. Zbl 1097.74036 Weckner, O.; Emmrich, E. 15 2005 all cited Publications top 5 cited Publications all top 5 Cited by 678 Authors 33 Du, Qiang 17 Silling, Stewart A. 16 Gunzburger, Max D. 16 Li, Shaofan 16 Zhou, Xiaoping 15 Tian, Xiaochuan 14 Bobaru, Florin 14 Lipton, Robert P. 14 Madenci, Erdogan 14 Mengesha, Tadele 12 Yu, Yue 11 Foster, John T. jun. 11 Galvanetto, Ugo 11 Oterkus, Selda 11 Seleson, Pablo 11 Zaccariotto, Mirco 10 Ju, Lili 9 D’Elia, Marta 9 Ni, Tao 9 Rabczuk, Timon 8 Javili, Ali 8 Oterkus, Erkan 8 Shojaei, Arman 8 You, Huaiqian 7 Reddy, Junuthula Narasimha 7 Steinmann, Paul 7 Tian, Hao 7 Wang, Hong 7 Weckner, Olaf 7 Zhang, Aman 7 Zhang, Jiwei 7 Zhu, Qizhi 6 Gu, Xin 6 Jha, Prashant Kumar 6 Lehoucq, Richard B. 6 Nie, Yufeng 6 Parks, Michael L. 6 Ren, Huilong 6 Roy, Pranesh 6 Scott, James M. 6 Zhou, Kun 6 Zhuang, Xiaoying 5 Aksoylu, Burak 5 Chen, Hailong 5 Chen, Ziguang 5 Coclite, Giuseppe Maria 5 Liew, Kim Meow 5 Maddalena, Francesco 5 Qiao, Pizhong 5 Roy, Debasish 5 Trask, Nathaniel A. 5 Xu, Jifeng 5 Zhang, Heng 5 Zhang, Qing 4 Alali, Bacim 4 Askari, Ebrahim 4 Bellido, José Carlos 4 Cyron, Christian Johannes 4 Ha, Youn Doh 4 Hermann, Alexander 4 Liu, Wenyang 4 Lopez, Luciano 4 McBride, Andrew T. 4 Menon, Shashank 4 Pellegrino, Sabrina Francesca 4 Song, Xiaoyu 4 Sun, Wei-Kang 4 Sun, Yuqi 4 Tao, Yunzhe 4 Wang, Yunteng 4 Weißenfels, Christian 4 Wriggers, Peter 4 Yang, Jiang 4 Yu, Haitao 4 Zhang, Hongwu 4 Zhang, Qi 4 Zhang, Xiaobing 4 Zhang, Xiong 4 Zheng, Chunxiong 4 Zheng, Yonggang 3 Acosta, Gabriel 3 Aguiar, Adair Roberto 3 Bazilevs, Yuri 3 Behera, Deepak 3 Behzadinasab, Masoud 3 Celiker, Fatih 3 Coclite, Alessandro 3 Coombs, William M. 3 Diehl, Patrick 3 Dorduncu, Mehmet 3 Du, Yu 3 Epton, Michael A. 3 Fang, Guodong 3 Fanizza, Giuseppe 3 Fish, Jacob 3 Fu, Maoqing 3 Han, Fei 3 Hattori, Gabriel 3 Hong, Jung-Wuk 3 Hu, Ping ...and 578 more Authors all top 5 Cited in 93 Serials 142 Computer Methods in Applied Mechanics and Engineering 31 Computational Mechanics 22 International Journal for Numerical Methods in Engineering 22 Engineering Analysis with Boundary Elements 19 Mathematics and Mechanics of Solids 18 Journal of Computational Physics 17 Journal of Elasticity 12 European Journal of Mechanics. A. Solids 9 Computers & Mathematics with Applications 9 Journal of the Mechanics and Physics of Solids 8 Acta Mechanica 7 Applied Mathematical Modelling 6 International Journal of Engineering Science 6 Applied Mathematics and Computation 5 Meccanica 5 Journal of Scientific Computing 5 Continuum Mechanics and Thermodynamics 5 Multiscale Modeling & Simulation 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 SIAM Journal on Numerical Analysis 4 SIAM Journal on Scientific Computing 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Nonlinearity 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Discrete and Continuous Dynamical Systems. Series B 3 Communications in Computational Physics 3 Communications on Applied Mathematics and Computation 2 Computer Physics Communications 2 International Journal of Solids and Structures 2 Journal of Mathematical Analysis and Applications 2 Mathematics of Computation 2 Applied Mathematics and Optimization 2 Applied Numerical Mathematics 2 Numerical Methods for Partial Differential Equations 2 Journal of Integral Equations and Applications 2 SIAM Journal on Mathematical Analysis 2 Mathematical Problems in Engineering 2 Differential Equations and Dynamical Systems 2 Computational Geosciences 2 Communications in Contemporary Mathematics 2 Lobachevskii Journal of Mathematics 2 Computational Methods in Applied Mathematics 2 International Journal of Computational Methods 2 International Journal of Fracture 2 Numerical Mathematics: Theory, Methods and Applications 2 Advances in Nonlinear Analysis 2 Advances in Continuous and Discrete Models 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 International Journal of Heat and Mass Transfer 1 Journal of Fluid Mechanics 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Physica A 1 Reports on Mathematical Physics 1 Calcolo 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Mathematics and Computers in Simulation 1 Mechanics Research Communications 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Revista de la Unión Matemática Argentina 1 SIAM Journal on Control and Optimization 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Applicandae Mathematicae 1 Physica D 1 Numerical Algorithms 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Calculus of Variations and Partial Differential Equations 1 Computational and Applied Mathematics 1 NoDEA. Nonlinear Differential Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Communications in Nonlinear Science and Numerical Simulation 1 Archives of Computational Methods in Engineering 1 Physical Review E. Third Series 1 Communications on Pure and Applied Analysis 1 Theoretical and Applied Mechanics 1 Acta Numerica 1 Advances in Difference Equations 1 International Journal of Numerical Analysis and Modeling 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Applied Mathematics and Mechanics 1 S\(\vec{\text{e}}\)MA Journal 1 Journal of Theoretical Biology 1 East Asian Journal on Applied Mathematics 1 Mathematics and Mechanics of Complex Systems 1 Research in the Mathematical Sciences 1 Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Cited in 34 Fields 382 Mechanics of deformable solids (74-XX) 136 Numerical analysis (65-XX) 76 Partial differential equations (35-XX) 55 Integral equations (45-XX) 37 Fluid mechanics (76-XX) 19 Functional analysis (46-XX) 19 Statistical mechanics, structure of matter (82-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 13 Operator theory (47-XX) 10 Biology and other natural sciences (92-XX) 9 Classical thermodynamics, heat transfer (80-XX) 7 Mechanics of particles and systems (70-XX) 5 Real functions (26-XX) 3 Ordinary differential equations (34-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Approximations and expansions (41-XX) 2 Computer science (68-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year