Edit Profile (opens in new tab) Chernov, Alexey Co-Author Distance Author ID: chernov.alexey Published as: Chernov, Alexey; Chernov, A. Homepage: https://uol.de/alexey-chernov/ External Links: MGP Documents Indexed: 33 Publications since 2006 2 Contributions as Editor Co-Authors: 20 Co-Authors with 27 Joint Publications 677 Co-Co-Authors all top 5 Co-Authors 3 single-authored 7 Schwab, Christoph 4 Mascotto, Lorenzo 4 Stephan, Ernst Peter 3 Bierig, Claudio 3 Maischak, Matthias 2 Beirão da Veiga, Lourenço 2 Dinh Dũng 2 Nobile, Fabio 2 Pham, Duong Thanh 2 Reinarz, Anne 2 Russo, Alessandro 2 von Petersdorff, Tobias 1 Birjukov, A. 1 Debussche, Arnaud 1 Geyn, S. 1 Hansbo, Peter 1 Hoel, Hakon A. 1 Law, Kody J. H. 1 Marcati, Carlo 1 Schmidt, Kersten 1 Schöpfer, Frank 1 Tempone, Raúl F. 1 Zhukova, Aleksandra all top 5 Serials 4 Computers & Mathematics with Applications 3 Numerische Mathematik 2 Mathematics of Computation 2 Applied Numerical Mathematics 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Advances in Computational Mathematics 2 Stochastic and Partial Differential Equations. Analysis and Computations 1 Computer Methods in Applied Mechanics and Engineering 1 IMA Journal of Numerical Analysis 1 Journal of Computational Physics 1 Mathematical Methods in the Applied Sciences 1 Journal of Optimization Theory and Applications 1 SIAM Journal on Numerical Analysis 1 Journal of Complexity 1 Numerical Algorithms 1 SIAM Journal on Applied Mathematics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis all top 5 Fields 28 Numerical analysis (65-XX) 10 Partial differential equations (35-XX) 8 Approximations and expansions (41-XX) 5 Integral equations (45-XX) 5 Probability theory and stochastic processes (60-XX) 5 Mechanics of deformable solids (74-XX) 3 Statistics (62-XX) 3 Operations research, mathematical programming (90-XX) 2 General and overarching topics; collections (00-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 29 Publications have been cited 322 times in 243 Documents Cited by ▼ Year ▼ Basic principles of \(hp\) virtual elements on quasiuniform meshes. Zbl 1344.65109Beirão da Veiga, L.; Chernov, A.; Mascotto, L.; Russo, A. 45 2016 Exponential convergence of the \(hp\) virtual element method in presence of corner singularities. Zbl 1387.65117Beirão da Veiga, L.; Chernov, A.; Mascotto, L.; Russo, A. 32 2018 Exponential convergence of {\(hp\)} quadrature for integral operators with Gevrey kernels. Zbl 1269.65143Chernov, Alexey; Von Petersdorff, Tobias; Schwab, Christoph 26 2011 Convergence analysis of multilevel Monte Carlo variance estimators and application for random obstacle problems. Zbl 1432.65006Bierig, Claudio; Chernov, Alexey 23 2015 First-order \(k\)-th moment finite element analysis of nonlinear operator equations with stochastic data. Zbl 1281.65008Chernov, Alexey; Schwab, Christoph 21 2013 \(p\)- and \(hp\)-virtual elements for the Stokes problem. Zbl 1475.65187Chernov, A.; Marcati, C.; Mascotto, L. 14 2021 \(hp\)-mortar boundary element method for two-body contact problems with friction. Zbl 1149.74051Chernov, Alexey; Maischak, Matthias; Stephan, Ernst P. 13 2008 Optimal convergence estimates for the trace of the polynomial \(L^{2}\)-projection operator on a simplex. Zbl 1242.41007Chernov, Alexey 13 2012 Approximation of probability density functions by the multilevel Monte Carlo maximum entropy method. Zbl 1349.65007Bierig, Claudio; Chernov, Alexey 13 2016 A unified analysis of transmission conditions for thin conducting sheets in the time-harmonic eddy current model. Zbl 1290.78020Schmidt, K.; Chernov, A. 12 2013 New explicit-in-dimension estimates for the cardinality of high-dimensional hyperbolic crosses and approximation of functions having mixed smoothness. Zbl 1330.65038Chernov, Alexey; Dũng, Dinh 12 2016 A priori error estimates forhppenalty BEM for contact problems in elasticity. Zbl 1173.74456Chernov, A.; Maischak, M.; Stephan, E. P. 9 2007 The harmonic virtual element method: stabilization and exponential convergence for the Laplace problem on polygonal domains. Zbl 1496.65214Chernov, Alexey; Mascotto, Lorenzo 9 2019 Pseudodifferential equations on the sphere with spherical splines. Zbl 1298.65177Pham, T. D.; Tran, T.; Chernov, A. 9 2011 Exponential convergence of Gauss–Jacobi quadratures for singular integrals over simplices in arbitrary dimension. Zbl 1252.65209Chernov, Alexey; Schwab, Christoph 9 2012 Sparse \(p\)-version BEM for first kind boundary integral equations with random loading. Zbl 1177.65191Chernov, Alexey; Schwab, Christoph 8 2009 Multilevel ensemble Kalman filtering for spatio-temporal processes. Zbl 1460.65006Chernov, Alexey; Hoel, Håkon; Law, Kody J. H.; Nobile, Fabio; Tempone, Raul 8 2021 Estimation of arbitrary order central statistical moments by the multilevel Monte Carlo method. Zbl 1375.65011Bierig, Claudio; Chernov, Alexey 7 2016 Sparse polynomial approximation in positive order Sobolev spaces with bounded mixed derivatives and applications to elliptic problems with random loading. Zbl 1253.65184Chernov, Alexey 7 2012 Sparse tensor product spectral Galerkin BEM for elliptic problems with random input data on a spheroid. Zbl 1308.65194Chernov, Alexey; Pham, Duong 6 2015 Sparse space-time Galerkin BEM for the nonstationary heat equation. Zbl 1276.76046Chernov, Alexey; Schwab, Christoph 5 2013 Finite element/boundary element coupling for two-body elastoplastic contact problems with friction. Zbl 1194.74212Chernov, A.; Geyn, S.; Maischak, M.; Stephan, E. P. 4 2006 Quadrature algorithms for high dimensional singular integrands on simplices. Zbl 1332.65035Chernov, Alexey; von Petersdorff, Tobias; Schwab, Christoph 4 2015 Numerical quadrature for high-dimensional singular integrals over parallelotopes. Zbl 1350.65018Chernov, Alexey; Reinarz, Anne 4 2013 Abstract sensitivity analysis for nonlinear equations and applications. Zbl 1157.65380Chernov, A. 3 2008 Sparse grid approximation spaces for space-time boundary integral formulations of the heat equation. Zbl 1443.65181Chernov, Alexey; Reinarz, Anne 3 2019 An \(hp\)-Nitsche’s method for interface problems with nonconforming unstructured finite element meshes. Zbl 1216.65153Chernov, Alexey; Hansbo, Peter 2 2011 Adaptive BEM for contact problems with friction. Zbl 1208.74172Chernov, Alexey; Stephan, Ernst P. 1 2007 A shape calculus based method for a transmission problem with a random interface. Zbl 1443.65401Chernov, Alexey; Pham, Duong; Tran, Thanh 1 2015 \(p\)- and \(hp\)-virtual elements for the Stokes problem. Zbl 1475.65187Chernov, A.; Marcati, C.; Mascotto, L. 14 2021 Multilevel ensemble Kalman filtering for spatio-temporal processes. Zbl 1460.65006Chernov, Alexey; Hoel, Håkon; Law, Kody J. H.; Nobile, Fabio; Tempone, Raul 8 2021 The harmonic virtual element method: stabilization and exponential convergence for the Laplace problem on polygonal domains. Zbl 1496.65214Chernov, Alexey; Mascotto, Lorenzo 9 2019 Sparse grid approximation spaces for space-time boundary integral formulations of the heat equation. Zbl 1443.65181Chernov, Alexey; Reinarz, Anne 3 2019 Exponential convergence of the \(hp\) virtual element method in presence of corner singularities. Zbl 1387.65117Beirão da Veiga, L.; Chernov, A.; Mascotto, L.; Russo, A. 32 2018 Basic principles of \(hp\) virtual elements on quasiuniform meshes. Zbl 1344.65109Beirão da Veiga, L.; Chernov, A.; Mascotto, L.; Russo, A. 45 2016 Approximation of probability density functions by the multilevel Monte Carlo maximum entropy method. Zbl 1349.65007Bierig, Claudio; Chernov, Alexey 13 2016 New explicit-in-dimension estimates for the cardinality of high-dimensional hyperbolic crosses and approximation of functions having mixed smoothness. Zbl 1330.65038Chernov, Alexey; Dũng, Dinh 12 2016 Estimation of arbitrary order central statistical moments by the multilevel Monte Carlo method. Zbl 1375.65011Bierig, Claudio; Chernov, Alexey 7 2016 Convergence analysis of multilevel Monte Carlo variance estimators and application for random obstacle problems. Zbl 1432.65006Bierig, Claudio; Chernov, Alexey 23 2015 Sparse tensor product spectral Galerkin BEM for elliptic problems with random input data on a spheroid. Zbl 1308.65194Chernov, Alexey; Pham, Duong 6 2015 Quadrature algorithms for high dimensional singular integrands on simplices. Zbl 1332.65035Chernov, Alexey; von Petersdorff, Tobias; Schwab, Christoph 4 2015 A shape calculus based method for a transmission problem with a random interface. Zbl 1443.65401Chernov, Alexey; Pham, Duong; Tran, Thanh 1 2015 First-order \(k\)-th moment finite element analysis of nonlinear operator equations with stochastic data. Zbl 1281.65008Chernov, Alexey; Schwab, Christoph 21 2013 A unified analysis of transmission conditions for thin conducting sheets in the time-harmonic eddy current model. Zbl 1290.78020Schmidt, K.; Chernov, A. 12 2013 Sparse space-time Galerkin BEM for the nonstationary heat equation. Zbl 1276.76046Chernov, Alexey; Schwab, Christoph 5 2013 Numerical quadrature for high-dimensional singular integrals over parallelotopes. Zbl 1350.65018Chernov, Alexey; Reinarz, Anne 4 2013 Optimal convergence estimates for the trace of the polynomial \(L^{2}\)-projection operator on a simplex. Zbl 1242.41007Chernov, Alexey 13 2012 Exponential convergence of Gauss–Jacobi quadratures for singular integrals over simplices in arbitrary dimension. Zbl 1252.65209Chernov, Alexey; Schwab, Christoph 9 2012 Sparse polynomial approximation in positive order Sobolev spaces with bounded mixed derivatives and applications to elliptic problems with random loading. Zbl 1253.65184Chernov, Alexey 7 2012 Exponential convergence of {\(hp\)} quadrature for integral operators with Gevrey kernels. Zbl 1269.65143Chernov, Alexey; Von Petersdorff, Tobias; Schwab, Christoph 26 2011 Pseudodifferential equations on the sphere with spherical splines. Zbl 1298.65177Pham, T. D.; Tran, T.; Chernov, A. 9 2011 An \(hp\)-Nitsche’s method for interface problems with nonconforming unstructured finite element meshes. Zbl 1216.65153Chernov, Alexey; Hansbo, Peter 2 2011 Sparse \(p\)-version BEM for first kind boundary integral equations with random loading. Zbl 1177.65191Chernov, Alexey; Schwab, Christoph 8 2009 \(hp\)-mortar boundary element method for two-body contact problems with friction. Zbl 1149.74051Chernov, Alexey; Maischak, Matthias; Stephan, Ernst P. 13 2008 Abstract sensitivity analysis for nonlinear equations and applications. Zbl 1157.65380Chernov, A. 3 2008 A priori error estimates forhppenalty BEM for contact problems in elasticity. Zbl 1173.74456Chernov, A.; Maischak, M.; Stephan, E. P. 9 2007 Adaptive BEM for contact problems with friction. Zbl 1208.74172Chernov, Alexey; Stephan, Ernst P. 1 2007 Finite element/boundary element coupling for two-body elastoplastic contact problems with friction. Zbl 1194.74212Chernov, A.; Geyn, S.; Maischak, M.; Stephan, E. P. 4 2006 all cited Publications top 5 cited Publications all top 5 Cited by 375 Authors 16 Chernov, Alexey 15 Manzini, Gianmarco 15 Mascotto, Lorenzo 13 Schwab, Christoph 12 Beirão da Veiga, Lourenço 7 Bertoluzza, Silvia 7 Dassi, Franco 7 Dinh Dũng 7 Nobile, Fabio 7 Pennacchio, Micol 7 Prada, Daniele 7 Russo, Alessandro 6 Praetorius, Dirk 6 Vacca, Giuseppe 5 Antonietti, Paola Francesca 5 Georgoulis, Emmanuil H. 5 Harbrecht, Helmut 5 Pham, Duong Thanh 4 Huang, Xuehai 4 Jasra, Ajay 4 Karkulik, Michael 4 Melenk, Jens Markus 4 Péron, Victor 4 Perugia, Ilaria 4 Pichler, Alexander 4 Sickel, Winfried 4 Tempone, Raúl F. 4 Ullrich, Tino 4 Verani, Marco 4 Zhao, Jikun 3 Aurada, Markus 3 Banz, Lothar 3 Bierig, Claudio 3 Brezzi, Franco 3 Chada, Neil K. 3 Chiozzi, Andrea 3 Dong, Zhaonan 3 Feischl, Michael 3 Ferraz-Leite, Samuel 3 Gardini, Francesca 3 Gunzburger, Max D. 3 Hoel, Hakon A. 3 Jerez-Hanckes, Carlos 3 Krumscheid, Sebastian 3 Li, Huiyuan 3 Marini, Luisa Donatella 3 Nochetto, Ricardo Horacio 3 Ovall, Jeffrey S. 3 Reichmann, Oleg 3 Scacchi, Simone 3 Schmidt, Kersten 3 Stephan, Ernst Peter 3 Sukumar, Natarajan 3 Zhang, Bei 3 Zhang, Shougui 2 Anand, Akash 2 Benvenuti, Elena 2 Biasotti, Silvia 2 Borthagaray, Juan Pablo 2 Bremer, James C. 2 Cabiddu, Daniela 2 Cangiani, Andrea 2 Chen, Long 2 Chen, Shaochun 2 D’Elia, Marta 2 Dörsek, Philipp 2 Drouet, Guillaume 2 Duruflé, Marc 2 Elleithy, Wael M. 2 Giles, Michael B. 2 Gimbutas, Zydrunas 2 Gwinner, Joachim 2 Hild, Patrick 2 Hiptmair, Ralf 2 Houston, Paul 2 Huang, Jianguo 2 Koutsourelakis, Phaedon-Stelios 2 Kressner, Daniel 2 Kühn, Thomas 2 Kumar, Prashant 2 Law, Kody J. H. 2 Le, Tung 2 Li, Wenbo 2 Li, Xiaolin 2 Mantič, Vladislav 2 Mazzia, Annamaria 2 Mora, David 2 Multerer, Michael D. 2 Ovcharova, Nina 2 Patané, Giuseppe 2 Peherstorfer, Benjamin 2 Reinarz, Anne 2 Reynolds, Samuel E. 2 Sauter, Stefan A. 2 Silgado, Alberth 2 Spagnuolo, Michela 2 Šukys, Jonas 2 Tausch, Johannes 2 Ullmann, Elisabeth 2 Vodička, Roman ...and 275 more Authors all top 5 Cited in 64 Serials 23 Computers & Mathematics with Applications 18 Computer Methods in Applied Mechanics and Engineering 16 Numerische Mathematik 15 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 13 Journal of Computational Physics 13 SIAM/ASA Journal on Uncertainty Quantification 9 Journal of Scientific Computing 8 Applied Numerical Mathematics 7 SIAM Journal on Numerical Analysis 7 SIAM Journal on Scientific Computing 7 Advances in Computational Mathematics 6 Mathematics of Computation 6 Journal of Computational and Applied Mathematics 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Journal of Complexity 4 Acta Numerica 3 Calcolo 3 Journal of Approximation Theory 3 Engineering Analysis with Boundary Elements 2 Inverse Problems 2 Mathematical Methods in the Applied Sciences 2 Computational Mechanics 2 Numerical Methods for Partial Differential Equations 2 Numerical Algorithms 2 International Journal of Computer Mathematics 2 SIAM Journal on Applied Mathematics 2 Computational Geosciences 2 Foundations of Computational Mathematics 2 Computational Methods in Applied Mathematics 2 Analysis and Applications (Singapore) 1 Computers and Fluids 1 International Journal of Engineering Science 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 ACM Transactions on Mathematical Software 1 Acta Mathematica Vietnamica 1 Applied Mathematics and Computation 1 BIT 1 International Journal for Numerical Methods in Engineering 1 Mathematics and Computers in Simulation 1 SIAM Journal on Control and Optimization 1 Systems & Control Letters 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Constructive Approximation 1 Applied Mathematics Letters 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Applied Mathematical Modelling 1 International Applied Mechanics 1 Mathematical Problems in Engineering 1 Acta Mathematica Sinica. English Series 1 Archives of Computational Methods in Engineering 1 Discrete and Continuous Dynamical Systems. Series B 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 International Journal of Numerical Analysis and Modeling 1 Oberwolfach Reports 1 Chebyshevskiĭ Sbornik 1 Communications in Computational Physics 1 Discrete and Continuous Dynamical Systems. Series S 1 Set-Valued and Variational Analysis 1 Statistics and Computing 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 Journal of Computational Dynamics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Mathematics in Engineering all top 5 Cited in 30 Fields 206 Numerical analysis (65-XX) 101 Partial differential equations (35-XX) 43 Mechanics of deformable solids (74-XX) 33 Fluid mechanics (76-XX) 29 Probability theory and stochastic processes (60-XX) 25 Approximations and expansions (41-XX) 16 Statistics (62-XX) 14 Optics, electromagnetic theory (78-XX) 11 Operator theory (47-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 8 Computer science (68-XX) 7 Integral equations (45-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Geophysics (86-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Functional analysis (46-XX) 4 Biology and other natural sciences (92-XX) 4 Systems theory; control (93-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Potential theory (31-XX) 2 Relativity and gravitational theory (83-XX) 2 Operations research, mathematical programming (90-XX) 2 Information and communication theory, circuits (94-XX) 1 Number theory (11-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year