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Shapeev, Alexander V.

Author ID: shapeev.alexander-v Recent zbMATH articles by "Shapeev, Alexander V."
Published as: Shapeev, Alexander V.; Shapeev, A. V.; Shapeev, Alexander

Publications by Year

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 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

Citations by Year