Edit Profile (opens in new tab) Shapeev, Alexander V. Co-Author Distance Author ID: shapeev.alexander-v Published as: Shapeev, Alexander V.; Shapeev, A. V.; Shapeev, Alexander more...less Documents Indexed: 30 Publications since 1999, including 4 Additional arXiv Preprints Co-Authors: 17 Co-Authors with 23 Joint Publications 555 Co-Co-Authors all top 5 Co-Authors 7 single-authored 7 Ortner, Christoph 6 Luskin, Mitchell 5 Lin, Ping 4 Abdulle, Assyr 4 Shapeev, Vasiliĭ Pavlovich 3 Bochev, Pavel B. 3 Olson, Derek 2 Li, Xingjie Helen 1 Carré, Gilles 1 Del Pino, Stéphane 1 Dobson, Matthew 1 Ehrlacher, Virginie 1 Gostaf, Kirill Pichon 1 Jecker, Orane 1 Labourasse, Emmanuel 1 Vankoten, Brian 1 Zhang, Lei all top 5 Serials 7 Multiscale Modeling & Simulation 3 Dinamika Sploshnoĭ Sredy 2 SIAM Journal on Numerical Analysis 2 SIAM Journal on Scientific Computing 1 Archive for Rational Mechanics and Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 Fluid Dynamics 1 Mathematics of Computation 1 Numerische Mathematik 1 Computational Mathematics and Mathematical Physics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Vychislitel’nye Tekhnologii 1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis all top 5 Fields 17 Numerical analysis (65-XX) 11 Mechanics of deformable solids (74-XX) 8 Statistical mechanics, structure of matter (82-XX) 6 Partial differential equations (35-XX) 6 Mechanics of particles and systems (70-XX) 6 Fluid mechanics (76-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 21 Publications have been cited 224 times in 101 Documents Cited by ▼ Year ▼ Analysis of boundary conditions for crystal defect atomistic simulations. Zbl 1358.35187 Ehrlacher, V.; Ortner, C.; Shapeev, A. V. 47 2016 Consistent energy-based atomistic/continuum coupling for two-body potentials in one and two dimensions. Zbl 1246.74065 Shapeev, Alexander V. 28 2011 Analysis of an energy-based atomistic/continuum approximation of a vacancy in the 2D triangular lattice. Zbl 1276.82013 Ortner, C.; Shapeev, A. V. 23 2013 An optimization-based atomistic-to-continuum coupling method. Zbl 1306.65220 Olson, Derek; Bochev, Pavel B.; Luskin, Mitchell; Shapeev, Alexander V. 17 2014 Analysis of blended atomistic/continuum hybrid methods. Zbl 1354.82014 Li, Xingjie Helen; Ortner, Christoph; Shapeev, Alexander V.; van Koten, Brian 16 2016 Theory-based benchmarking of the blended force-based quasicontinuum method. Zbl 1295.74004 Li, Xingjie Helen; Luskin, Mitchell; Ortner, Christoph; Shapeev, Alexander V. 16 2014 Consistent energy-based atomistic/continuum coupling for two-body potentials in three dimensions. Zbl 1360.70006 Shapeev, Alexander V. 15 2012 Moment tensor potentials: a class of systematically improvable interatomic potentials. Zbl 1403.70008 Shapeev, Alexander V. 10 2016 An asymptotic Fitting finite element method with exponential mesh refinement for accurate computation of corner eddies in viscous flows. Zbl 1188.76197 Shapeev, Alexander V.; Lin, Ping 8 2009 Approximation of crystalline defects at finite temperature. Zbl 1378.82046 Shapeev, Alexander V.; Luskin, Mitchell 6 2017 (In-)stability and stabilization of QNL-type atomistic-to-continuum coupling methods. Zbl 1321.82037 Ortner, Christoph; Shapeev, Alexander V.; Zhang, Lei 6 2014 A priori and a posteriori \(W^{1,\infty}\) error analysis of a QC method for complex lattices. Zbl 1279.65126 Abdulle, Assyr; Lin, Ping; Shapeev, Alexander V. 5 2013 Analysis of an optimization-based atomistic-to-continuum coupling method for point defects. Zbl 1353.82022 Olson, Derek; Shapeev, Alexander V.; Bochev, Pavel B.; Luskin, Mitchell 5 2016 Numerical methods for multilattices. Zbl 1255.74025 Abdulle, Assyr; Lin, Ping; Shapeev, Alexander V. 5 2012 The spectrum of the force-based quasicontinuum operator for a homogeneous periodic chain. Zbl 1257.82106 Dobson, M.; Ortner, C.; Shapeev, A. V. 5 2012 Solutions of the elliptic problems with singularities using finite difference schemes with high order of approximation. Zbl 1212.65412 Shapeev, V. P.; Shapeev, A. V. 4 2006 An optimization based coupling method for multiscale problems. Zbl 1352.65463 Abdulle, Assyr; Jecker, Orane; Shapeev, Alexander 2 2016 Unsteady self-similar flow of a viscous incompressible fluid in a plane divergent channel. Zbl 1179.76069 Shapeev, A. V. 2 2004 Polynomial least-squares reconstruction for semi-Lagrangian cell-centered hydrodynamic schemes. Zbl 1176.76078 Carré, Gilles; Del Pino, Stéphane; Gostaf, Kirill Pichon; Labourasse, Emmanuel; Shapeev, Alexander V. 2 2009 High-order accurate difference schemes for elliptic equations in a domain with a curvilinear boundary. Zbl 0987.65105 Shapeev, A. V.; Shapeev, V. P. 1 2000 Development of an optimization-based atomistic-to-continuum coupling method. Zbl 1446.74075 Olson, Derek; Bochev, Pavel; Luskin, Mitchell; Shapeev, Alexander V. 1 2014 Approximation of crystalline defects at finite temperature. Zbl 1378.82046 Shapeev, Alexander V.; Luskin, Mitchell 6 2017 Analysis of boundary conditions for crystal defect atomistic simulations. Zbl 1358.35187 Ehrlacher, V.; Ortner, C.; Shapeev, A. V. 47 2016 Analysis of blended atomistic/continuum hybrid methods. Zbl 1354.82014 Li, Xingjie Helen; Ortner, Christoph; Shapeev, Alexander V.; van Koten, Brian 16 2016 Moment tensor potentials: a class of systematically improvable interatomic potentials. Zbl 1403.70008 Shapeev, Alexander V. 10 2016 Analysis of an optimization-based atomistic-to-continuum coupling method for point defects. Zbl 1353.82022 Olson, Derek; Shapeev, Alexander V.; Bochev, Pavel B.; Luskin, Mitchell 5 2016 An optimization based coupling method for multiscale problems. Zbl 1352.65463 Abdulle, Assyr; Jecker, Orane; Shapeev, Alexander 2 2016 An optimization-based atomistic-to-continuum coupling method. Zbl 1306.65220 Olson, Derek; Bochev, Pavel B.; Luskin, Mitchell; Shapeev, Alexander V. 17 2014 Theory-based benchmarking of the blended force-based quasicontinuum method. Zbl 1295.74004 Li, Xingjie Helen; Luskin, Mitchell; Ortner, Christoph; Shapeev, Alexander V. 16 2014 (In-)stability and stabilization of QNL-type atomistic-to-continuum coupling methods. Zbl 1321.82037 Ortner, Christoph; Shapeev, Alexander V.; Zhang, Lei 6 2014 Development of an optimization-based atomistic-to-continuum coupling method. Zbl 1446.74075 Olson, Derek; Bochev, Pavel; Luskin, Mitchell; Shapeev, Alexander V. 1 2014 Analysis of an energy-based atomistic/continuum approximation of a vacancy in the 2D triangular lattice. Zbl 1276.82013 Ortner, C.; Shapeev, A. V. 23 2013 A priori and a posteriori \(W^{1,\infty}\) error analysis of a QC method for complex lattices. Zbl 1279.65126 Abdulle, Assyr; Lin, Ping; Shapeev, Alexander V. 5 2013 Consistent energy-based atomistic/continuum coupling for two-body potentials in three dimensions. Zbl 1360.70006 Shapeev, Alexander V. 15 2012 Numerical methods for multilattices. Zbl 1255.74025 Abdulle, Assyr; Lin, Ping; Shapeev, Alexander V. 5 2012 The spectrum of the force-based quasicontinuum operator for a homogeneous periodic chain. Zbl 1257.82106 Dobson, M.; Ortner, C.; Shapeev, A. V. 5 2012 Consistent energy-based atomistic/continuum coupling for two-body potentials in one and two dimensions. Zbl 1246.74065 Shapeev, Alexander V. 28 2011 An asymptotic Fitting finite element method with exponential mesh refinement for accurate computation of corner eddies in viscous flows. Zbl 1188.76197 Shapeev, Alexander V.; Lin, Ping 8 2009 Polynomial least-squares reconstruction for semi-Lagrangian cell-centered hydrodynamic schemes. Zbl 1176.76078 Carré, Gilles; Del Pino, Stéphane; Gostaf, Kirill Pichon; Labourasse, Emmanuel; Shapeev, Alexander V. 2 2009 Solutions of the elliptic problems with singularities using finite difference schemes with high order of approximation. Zbl 1212.65412 Shapeev, V. P.; Shapeev, A. V. 4 2006 Unsteady self-similar flow of a viscous incompressible fluid in a plane divergent channel. Zbl 1179.76069 Shapeev, A. V. 2 2004 High-order accurate difference schemes for elliptic equations in a domain with a curvilinear boundary. Zbl 0987.65105 Shapeev, A. V.; Shapeev, V. P. 1 2000 all cited Publications top 5 cited Publications all top 5 Cited by 126 Authors 35 Ortner, Christoph 11 Zhang, Lei 10 Chen, Huajie 9 Shapeev, Alexander V. 7 Luskin, Mitchell 7 Shapeev, Vasiliĭ Pavlovich 7 Wang, Yangshuai 6 Bochev, Pavel B. 6 Li, Xingjie Helen 6 Liao, Mingjie 5 Hudson, Thomas 5 Lu, Jianfeng 5 Ming, Pingbing 5 Wang, Hao 4 Braun, Julian 4 Buze, Maciej 4 Lin, Ping 4 Olson, Derek 4 Thomas, Jack 3 Belyaev, Vasiliĭ Alekseevich 3 Hodapp, Max 3 Theil, Florian 3 Vankoten, Brian 3 Vorozhtsov, Evgeniĭ Vasil’evich 2 Abdulle, Assyr 2 Bryndin, Luka Sergeevich 2 Chen, Jingrun 2 D’Elia, Marta 2 Duong, Manh Hong 2 García-Cervera, Carlos J. 2 Jecker, Orane 2 König, Wolfgang Dieter 2 Li, Xiantao 2 Makridakis, Charalambos G. 2 Nazar, Faizan Q. 2 Schmidt, Bernd 2 Süli, Endre E. 2 van Meurs, Patrick 1 Aktulga, Hasan Metin 1 Akulenko, Leonid Denisovich 1 Albuquerque, Duarte M. S. 1 Anciaux, Guillaume 1 Bachmayr, Markus 1 Berger, Richard 1 Binder, Andrew J. 1 Bolintineanu, Dan S. 1 Brown, W. Michael 1 Cancès, Eric 1 Cazeaux, Paul 1 Cesana, Pierluigi 1 Chen, Jianjun 1 Cho, Heyrim 1 Crozier, Paul S. 1 Csányi, Gábor 1 Cui, Long 1 Curtin, William A. 1 Del Pino, Stéphane 1 Després, Bruno 1 Dobson, Matthew 1 Drautz, Ralf 1 Du, Qiang 1 Dusson, Geneviève 1 Ehrlacher, Virginie 1 Eriksson, Olle 1 Etter, Simon 1 Fang, Lidong 1 Fernandes Pereira, José Carlos 1 Friesecke, Gero 1 Fu, Kejie 1 Georgievskiĭ, Dmitriĭ Vladimirovich 1 Golushko, Sergeĭ K. 1 Gorom-Alexander, Elaine 1 Han, Wang 1 Helgaker, Trygve Ulf 1 Huang, Yufang 1 in ’t Veld, Pieter J. 1 Isaev, V. I. 1 Kajzer, Adam 1 Karniadakis, George Em 1 Khoromskaia, Venera 1 Khoromskiĭ, Boris Nikolaevich 1 Kohlmeyer, Axel 1 Komarov, S. Yu. 1 Kreiss, Gunilla 1 Kuberry, Paul Allen 1 Kumakshev, S. A. 1 Labourasse, Emmanuel 1 Li, Hongliang 1 Lin, Lin 1 Littlewood, David J. 1 Liu, Xuanyu 1 Luo, Tao 1 Magalhães, João P. P. 1 Moore, Stan G. 1 Nguyen, Ngoc Cuong 1 Nguyen, Trung Dac 1 Nitsche, Ludwig C. 1 Parthasarathi, Prashanth 1 Perego, Mauro 1 Pereira, José Manuel C. ...and 26 more Authors all top 5 Cited in 38 Serials 14 Multiscale Modeling & Simulation 11 Archive for Rational Mechanics and Analysis 7 Computer Methods in Applied Mechanics and Engineering 6 Journal of Computational Physics 6 SIAM Journal on Scientific Computing 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Communications in Computational Physics 4 Numerische Mathematik 3 Computers & Mathematics with Applications 3 SIAM Journal on Numerical Analysis 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Mathematics of Computation 2 Journal of Scientific Computing 2 SIAM Journal on Mathematical Analysis 1 Computer Physics Communications 1 Communications on Pure and Applied Mathematics 1 Fluid Dynamics 1 Journal of Fluid Mechanics 1 Nonlinearity 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Applied Mathematics and Computation 1 Mathematica Numerica Sinica 1 Computational Mathematics and Mathematical Physics 1 Journal of Nonlinear Science 1 Doklady Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Journal of Applied Mechanics and Technical Physics 1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 1 Annales Henri Poincaré 1 Computational Methods in Applied Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Oberwolfach Reports 1 Networks and Heterogeneous Media 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 1 Science China. Mathematics 1 Research in the Mathematical Sciences 1 Results in Applied Mathematics all top 5 Cited in 21 Fields 59 Numerical analysis (65-XX) 52 Mechanics of deformable solids (74-XX) 38 Statistical mechanics, structure of matter (82-XX) 18 Quantum theory (81-XX) 17 Partial differential equations (35-XX) 16 Mechanics of particles and systems (70-XX) 12 Fluid mechanics (76-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 4 Probability theory and stochastic processes (60-XX) 3 Computer science (68-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Approximations and expansions (41-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Biology and other natural sciences (92-XX) Citations by Year