Edit Profile (opens in new tab) Foster, John T. jun. Co-Author Distance Author ID: foster.john-t-jun Published as: Foster, John T.; Foster, J. T.; Foster, John T. jun. more...less Documents Indexed: 26 Publications since 1969, including 3 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 31 Co-Authors with 21 Joint Publications 1,063 Co-Co-Authors all top 5 Co-Authors 3 single-authored 5 Leng, Yu 4 Tian, Xiaochuan 3 Behzadinasab, Masoud 3 D’Elia, Marta 3 Katiyar, Amit 3 Ouchi, Hisanao 3 Sharma, Mukul M. 3 Trask, Nathaniel A. 3 Xu, Xiao 2 Bazilevs, Yuri 2 Rahman, Rezwan 2 Seleson, Pablo 2 Silling, Stewart A. 1 Agrawal, Shivam Kumar 1 Aldous, J. R. 1 Barhorst, Alan A. 1 Belytschko, Ted Bohdan 1 Bement, Matthew T. 1 Bessa, Miguel A. 1 Bobaru, Florin 1 Brothers, Michael D. 1 Chen, Jiun-Shyan 1 Chen, Weinong W. 1 Demkowicz, Leszek F. 1 Geubelle, Philippe H. 1 Gómez, Héctor J. 1 Hinich, Melvin J. 1 Liu, Wing Kam 1 Millwater, Harry R. 1 Moutsanidis, Georgios 1 O’Grady, James 1 Pasetto, Marco 1 Welch, Peter H. 1 Wild, Phillip 1 Wong, C. N. (Simon) 1 York, Jason all top 5 Serials 6 Computer Methods in Applied Mechanics and Engineering 3 Journal of Computational Physics 3 Computational Mechanics 1 International Journal of Theoretical Physics 1 Journal of the Mechanics and Physics of Solids 1 Physica A 1 International Journal for Numerical Methods in Engineering 1 Journal of Statistical Planning and Inference 1 SIAM Journal on Numerical Analysis 1 Journal of Vibration and Control 1 Communications in Nonlinear Science and Numerical Simulation 1 Proceedings of the Cambridge Philosophical Society 1 Advances in Applied Mathematics (Boca Raton) all top 5 Fields 12 Mechanics of deformable solids (74-XX) 9 Numerical analysis (65-XX) 5 Fluid mechanics (76-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 21 Publications have been cited 384 times in 266 Documents Cited by ▼ Year ▼ Handbook of peridynamic modeling. Zbl 1351.74001 80 2016 A meshfree unification: reproducing kernel peridynamics. Zbl 1398.74452 Bessa, M. A.; Foster, J. T.; Belytschko, T.; Liu, Wing Kam 73 2014 Viscoplasticity using peridynamics. Zbl 1183.74035 Foster, J. T.; Silling, S. A.; Chen, W. W. 53 2010 A fully coupled porous flow and geomechanics model for fluid driven cracks: a peridynamics approach. Zbl 1311.74043 Ouchi, Hisanao; Katiyar, Amit; York, Jason; Foster, John T.; Sharma, Mukul M. 34 2015 A peridynamic formulation of pressure driven convective fluid transport in porous media. Zbl 1349.76819 Katiyar, Amit; Foster, John T.; Ouchi, Hisanao; Sharma, Mukul M. 32 2014 A semi-Lagrangian constitutive correspondence framework for peridynamics. Zbl 1441.70014 Behzadinasab, Masoud; Foster, John T. 20 2020 A reproducing kernel enhanced approach for peridynamic solutions. Zbl 1440.74478 Pasetto, Marco; Leng, Yu; Chen, Jiun-Shyan; Foster, John T.; Seleson, Pablo 20 2018 Asymptotically compatible reproducing kernel collocation and meshfree integration for nonlocal diffusion. Zbl 1456.82636 Leng, Yu; Tian, Xiaochuan; Trask, Nathaniel; Foster, John T. 16 2021 A comparison of different methods for calculating tangent-stiffness matrices in a massively parallel computational peridynamics code. Zbl 1423.74953 Brothers, Michael D.; Foster, John T.; Millwater, Harry R. 11 2014 A machine-learning framework for peridynamic material models with physical constraints. Zbl 1507.74060 Xu, Xiao; D’Elia, Marta; Foster, John T. 10 2021 A FETI approach to domain decomposition for meshfree discretizations of nonlocal problems. Zbl 1507.65281 Xu, Xiao; Glusa, Christian; D’Elia, Marta; Foster, John T. 7 2021 A general peridynamics model for multiphase transport of non-Newtonian compressible fluids in porous media. Zbl 1453.76210 Katiyar, Amit; Agrawal, Shivam; Ouchi, Hisanao; Seleson, Pablo; Foster, John T.; Sharma, Mukul M. 7 2020 Asymptotically compatible reproducing kernel collocation and meshfree integration for the peridynamic Navier equation. Zbl 1506.74478 Leng, Yu; Tian, Xiaochuan; Trask, Nathaniel A.; Foster, John T. 7 2020 Super-convergence of reproducing kernel approximation. Zbl 1441.65120 Leng, Yu; Tian, Xiaochuan; Foster, John T. 5 2019 Asymptotic symmetry and the global structure of future null infinity. Zbl 0631.53063 Foster, J. 4 1987 DS-spaces of Robinson and Trautman: topological identifications and asymptotic symmetry. Zbl 0186.55502 Foster, J. 3 1969 A meshfree method for bending and failure in non-ordinary peridynamic shells. Zbl 1382.74061 O’Grady, James; Foster, John 3 2016 Peridynamic theory of solids from the perspective of classical statistical mechanics. Zbl 1400.82139 Rahman, R.; Foster, J. T. 3 2015 A Petrov-Galerkin method for nonlocal convection-dominated diffusion problems. Zbl 07517745 Leng, Yu; Tian, Xiaochuan; Demkowicz, Leszek; Gomez, Hector; Foster, John T. 2 2022 Onto resolving spurious wave reflection problem with changing nonlocality among various length scales. Zbl 1458.74016 Rahman, Rezwan; Foster, J. T. 2 2016 Modeling loose joints in elastic structures- experimental results and validation. Zbl 1272.74261 Foster, John T. jun.; Barhorst, Alan A.; Wong, C. N. (Simon); Bement, Matthew T. 2 2009 A Petrov-Galerkin method for nonlocal convection-dominated diffusion problems. Zbl 07517745 Leng, Yu; Tian, Xiaochuan; Demkowicz, Leszek; Gomez, Hector; Foster, John T. 2 2022 Asymptotically compatible reproducing kernel collocation and meshfree integration for nonlocal diffusion. Zbl 1456.82636 Leng, Yu; Tian, Xiaochuan; Trask, Nathaniel; Foster, John T. 16 2021 A machine-learning framework for peridynamic material models with physical constraints. Zbl 1507.74060 Xu, Xiao; D’Elia, Marta; Foster, John T. 10 2021 A FETI approach to domain decomposition for meshfree discretizations of nonlocal problems. Zbl 1507.65281 Xu, Xiao; Glusa, Christian; D’Elia, Marta; Foster, John T. 7 2021 A semi-Lagrangian constitutive correspondence framework for peridynamics. Zbl 1441.70014 Behzadinasab, Masoud; Foster, John T. 20 2020 A general peridynamics model for multiphase transport of non-Newtonian compressible fluids in porous media. Zbl 1453.76210 Katiyar, Amit; Agrawal, Shivam; Ouchi, Hisanao; Seleson, Pablo; Foster, John T.; Sharma, Mukul M. 7 2020 Asymptotically compatible reproducing kernel collocation and meshfree integration for the peridynamic Navier equation. Zbl 1506.74478 Leng, Yu; Tian, Xiaochuan; Trask, Nathaniel A.; Foster, John T. 7 2020 Super-convergence of reproducing kernel approximation. Zbl 1441.65120 Leng, Yu; Tian, Xiaochuan; Foster, John T. 5 2019 A reproducing kernel enhanced approach for peridynamic solutions. Zbl 1440.74478 Pasetto, Marco; Leng, Yu; Chen, Jiun-Shyan; Foster, John T.; Seleson, Pablo 20 2018 Handbook of peridynamic modeling. Zbl 1351.74001 80 2016 A meshfree method for bending and failure in non-ordinary peridynamic shells. Zbl 1382.74061 O’Grady, James; Foster, John 3 2016 Onto resolving spurious wave reflection problem with changing nonlocality among various length scales. Zbl 1458.74016 Rahman, Rezwan; Foster, J. T. 2 2016 A fully coupled porous flow and geomechanics model for fluid driven cracks: a peridynamics approach. Zbl 1311.74043 Ouchi, Hisanao; Katiyar, Amit; York, Jason; Foster, John T.; Sharma, Mukul M. 34 2015 Peridynamic theory of solids from the perspective of classical statistical mechanics. Zbl 1400.82139 Rahman, R.; Foster, J. T. 3 2015 A meshfree unification: reproducing kernel peridynamics. Zbl 1398.74452 Bessa, M. A.; Foster, J. T.; Belytschko, T.; Liu, Wing Kam 73 2014 A peridynamic formulation of pressure driven convective fluid transport in porous media. Zbl 1349.76819 Katiyar, Amit; Foster, John T.; Ouchi, Hisanao; Sharma, Mukul M. 32 2014 A comparison of different methods for calculating tangent-stiffness matrices in a massively parallel computational peridynamics code. Zbl 1423.74953 Brothers, Michael D.; Foster, John T.; Millwater, Harry R. 11 2014 Viscoplasticity using peridynamics. Zbl 1183.74035 Foster, J. T.; Silling, S. A.; Chen, W. W. 53 2010 Modeling loose joints in elastic structures- experimental results and validation. Zbl 1272.74261 Foster, John T. jun.; Barhorst, Alan A.; Wong, C. N. (Simon); Bement, Matthew T. 2 2009 Asymptotic symmetry and the global structure of future null infinity. Zbl 0631.53063 Foster, J. 4 1987 DS-spaces of Robinson and Trautman: topological identifications and asymptotic symmetry. Zbl 0186.55502 Foster, J. 3 1969 all cited Publications top 5 cited Publications all top 5 Cited by 530 Authors 18 Tian, Xiaochuan 15 Du, Qiang 14 D’Elia, Marta 11 Foster, John T. jun. 10 Bobaru, Florin 10 Yu, Yue 8 Galvanetto, Ugo 8 Liu, Wing Kam 8 Seleson, Pablo 8 Zaccariotto, Mirco 7 Li, Shaofan 7 Trask, Nathaniel A. 7 You, Huaiqian 6 Gunzburger, Max D. 6 Zhou, Xiaoping 5 Gu, Xin 5 Leng, Yu 5 Lipton, Robert P. 5 Ni, Tao 5 Oterkus, Selda 5 Shojaei, Arman 5 Silling, Stewart A. 5 Tang, Shaoqiang 4 Chen, Ziguang 4 Larios, Adam 4 Liu, Wenyang 4 Madenci, Erdogan 4 Nie, Yufeng 4 Oterkus, Erkan 4 Rabczuk, Timon 4 Wang, Dongdong 4 Wick, Thomas 4 Zhang, Qing 4 Zhang, Xiaobing 4 Zhu, Qizhi 3 Apley, Daniel W. 3 Bazilevs, Yuri 3 Behzadinasab, Masoud 3 Bessa, Miguel A. 3 Cyron, Christian Johannes 3 Han, Fei 3 Hermann, Alexander 3 Hong, Jung-Wuk 3 Javili, Ali 3 Jha, Prashant Kumar 3 Liew, Kim Meow 3 Liu, Yan 3 Lu, Jiashu 3 Lu, Ye 3 Menon, Shashank 3 Mojumder, Satyajit 3 Park, Chanwook 3 Pasetto, Marco 3 Qin, Mingqi 3 Sharma, Mukul M. 3 Song, Xiaoyu 3 Tian, Da-Lang 3 Wagner, Gregory J. 3 Wheeler, Mary Fanett 3 Xue, Tao 3 Yang, Diansen 3 Zhang, Hongwu 3 Zhang, Lei 3 Zhang, Xiong 3 Zheng, Yonggang 3 Zhuang, Xiaoying 2 Alaydın, Mert Deniz 2 Bergel, Guy L. 2 Bie, Ye Hui 2 Bochev, Pavel B. 2 Burkardt, John V. 2 Buryachenko, Valeriy A. 2 Butt, Sahir N. 2 Capodaglio, Giacomo 2 Chen, Hailong 2 Chen, Jiun-Shyan 2 Chen, Weizhong 2 Coclite, Alessandro 2 Cui, Hao 2 Cui, Xiangyang 2 Dai, Zili 2 Diana, Vito 2 Diehl, Patrick 2 Fan, Houfu 2 Fan, Yiming 2 Farmanborda, Muster Satis 2 Gulian, Mamikon 2 Guo, Jiachen 2 Hillman, Michael C. 2 Hon, Yiu-Chung 2 Hosein, Aiblaastin 2 Huang, Dan 2 Jafarzadeh, Siavash 2 Kamensky, David 2 Karniadakis, George Em 2 Katiyar, Amit 2 Kuo, Peien 2 Lee, Sanghyun 2 LeFloch, Philippe Gerard 2 Li, Chunguang ...and 430 more Authors all top 5 Cited in 54 Serials 96 Computer Methods in Applied Mechanics and Engineering 29 Computational Mechanics 13 Engineering Analysis with Boundary Elements 9 Journal of Computational Physics 8 Applied Mathematical Modelling 7 SIAM Journal on Numerical Analysis 6 Computers & Mathematics with Applications 6 International Journal for Numerical Methods in Engineering 6 Mathematics and Mechanics of Solids 5 Meccanica 5 European Journal of Mechanics. A. Solids 4 Journal of Scientific Computing 4 Computational Geosciences 4 Multiscale Modeling & Simulation 3 Acta Mechanica 3 Journal of the Mechanics and Physics of Solids 3 Numerical Methods for Partial Differential Equations 3 Mathematical Problems in Engineering 3 International Journal of Computational Methods 2 Journal of Fluid Mechanics 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Journal of Elasticity 2 Continuum Mechanics and Thermodynamics 2 Journal of Vibration and Control 2 Communications in Nonlinear Science and Numerical Simulation 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Numerical Mathematics: Theory, Methods and Applications 1 Computer Physics Communications 1 International Journal of Engineering Science 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Mathematics and Computers in Simulation 1 Numerische Mathematik 1 Applied Numerical Mathematics 1 Journal of Integral Equations and Applications 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 SIAM Journal on Scientific Computing 1 Computational and Applied Mathematics 1 Fractals 1 Chaos 1 Fractional Calculus & Applied Analysis 1 Foundations of Computational Mathematics 1 Acta Numerica 1 International Journal of Numerical Analysis and Modeling 1 Acta Mechanica Sinica 1 Communications in Computational Physics 1 Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Communications on Applied Mathematics and Computation 1 SN Partial Differential Equations and Applications 1 Advances in Continuous and Discrete Models all top 5 Cited in 26 Fields 197 Mechanics of deformable solids (74-XX) 99 Numerical analysis (65-XX) 39 Fluid mechanics (76-XX) 30 Partial differential equations (35-XX) 23 Integral equations (45-XX) 10 Statistical mechanics, structure of matter (82-XX) 6 Real functions (26-XX) 6 Functional analysis (46-XX) 6 Mechanics of particles and systems (70-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Ordinary differential equations (34-XX) 5 Operator theory (47-XX) 5 Computer science (68-XX) 5 Biology and other natural sciences (92-XX) 4 Geophysics (86-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Probability theory and stochastic processes (60-XX) 2 Approximations and expansions (41-XX) 2 Quantum theory (81-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year