Edit Profile (opens in new tab) Henning, Patrick Co-Author Distance Author ID: henning.patrick Published as: Henning, Patrick; Henning, P. External Links: MGP Documents Indexed: 44 Publications since 2009, including 1 Book and 4 Additional arXiv Preprints Co-Authors: 27 Co-Authors with 38 Joint Publications 606 Co-Co-Authors all top 5 Co-Authors 3 single-authored 11 Ohlberger, Mario 11 Peterseim, Daniel 6 Målqvist, Axel 4 Altmann, Robert 4 Wärnegård, Johan 3 Abdulle, Assyr 3 Schweizer, Ben 2 Döding, Christian 2 Engwer, Christian 2 Verfürth, Barbara 1 Bastian, Peter 1 Berninger, Heiko 1 Dedner, Andreas S. 1 Dörich, Benjamin 1 Elfverson, Daniel 1 Gallistl, Dietmar 1 Ginting, Victor 1 Hellman, Fredrik 1 Kornhuber, Ralf 1 Kröner, Dietmar 1 Morgenstern, Philipp 1 Niklasson, Anders M. N. 1 Sander, Oliver 1 Schiffler, Gerd 1 Shokina, Nina 1 Smetana, Kathrin 1 Yadav, Mahima all top 5 Serials 5 SIAM Journal on Numerical Analysis 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Numerische Mathematik 3 Multiscale Modeling & Simulation 3 Discrete and Continuous Dynamical Systems. Series S 2 Computer Methods in Applied Mechanics and Engineering 2 Mathematics of Computation 2 SIAM Journal on Scientific Computing 2 Networks and Heterogeneous Media 2 Kinetic and Related Models 1 Journal of Computational Physics 1 BIT 1 Zeitschrift für Analysis und ihre Anwendungen 1 SIAM Journal on Applied Mathematics 1 Computational Geosciences 1 Acta Numerica 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis all top 5 Fields 41 Numerical analysis (65-XX) 37 Partial differential equations (35-XX) 10 Quantum theory (81-XX) 6 Fluid mechanics (76-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Mechanics of deformable solids (74-XX) 3 Optics, electromagnetic theory (78-XX) 2 Operator theory (47-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 36 Publications have been cited 605 times in 310 Documents Cited by ▼ Year ▼ Oversampling for the multiscale finite element method. Zbl 1297.65155 Henning, Patrick; Peterseim, Daniel 88 2013 A localized orthogonal decomposition method for semi-linear elliptic problems. Zbl 1300.35011 Henning, Patrick; Målqvist, Axel; Peterseim, Daniel 48 2014 Localized orthogonal decomposition techniques for boundary value problems. Zbl 1303.35007 Henning, Patrick; Målqvist, Axel 41 2014 The heterogeneous multiscale finite element method for elliptic homogenization problems in perforated domains. Zbl 1185.65210 Henning, Patrick; Ohlberger, Mario 35 2009 Localized orthogonal decomposition method for the wave equation with a continuum of scales. Zbl 1358.65064 Abdulle, Assyr; Henning, Patrick 29 2017 Two-level discretization techniques for ground state computations of Bose-Einstein condensates. Zbl 1308.35272 Henning, Patrick; Målqvist, Axel; Peterseim, Daniel 27 2014 Numerical homogenization beyond scale separation. Zbl 07674568 Altmann, Robert; Henning, Patrick; Peterseim, Daniel 25 2021 Multiscale partition of unity. Zbl 1333.65130 Henning, Patrick; Morgenstern, Philipp; Peterseim, Daniel 24 2015 The heterogeneous multiscale finite element method for advection-diffusion problems with rapidly oscillating coefficients and large expected drift. Zbl 1264.65161 Henning, Patrick; Ohlberger, Mario 21 2010 A new heterogeneous multiscale method for time-harmonic Maxwell’s equations. Zbl 1357.35028 Henning, Patrick; Ohlberger, Mario; Verfürth, Barbara 20 2016 Efficient implementation of the localized orthogonal decomposition method. Zbl 1441.65100 Engwer, Christian; Henning, Patrick; Målqvist, Axel; Peterseim, Daniel 20 2019 An adaptive multiscale finite element method. Zbl 1312.65191 Henning, Patrick; Ohlberger, Mario; Schweizer, Ben 19 2014 Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem: global convergence and computational efficiency. Zbl 1512.35538 Henning, Patrick; Peterseim, Daniel 19 2020 On multiscale methods in Petrov-Galerkin formulation. Zbl 1330.65187 Elfverson, Daniel; Ginting, Victor; Henning, Patrick 17 2015 Numerical homogenization of \(\mathbf H(\mathrm{curl})\)-problems. Zbl 1402.65178 Gallistl, Dietmar; Henning, Patrick; Verfürth, Barbara 16 2018 A reduced basis localized orthogonal decomposition. Zbl 1349.65609 Abdulle, Assyr; Henning, Patrick 13 2015 Crank-Nicolson Galerkin approximations to nonlinear Schrödinger equations with rough potentials. Zbl 1377.65128 Henning, Patrick; Peterseim, Daniel 13 2017 Error control and adaptivity for heterogeneous multiscale approximations of nonlinear monotone problems. Zbl 1302.65127 Henning, Patrick; Ohlberger, Mario 12 2015 Quantitative Anderson localization of Schrödinger eigenstates under disorder potentials. Zbl 1444.65064 Altmann, Robert; Henning, Patrick; Peterseim, Daniel 12 2020 The \(J\)-method for the Gross-Pitaevskii eigenvalue problem. Zbl 1510.65289 Altmann, Robert; Henning, Patrick; Peterseim, Daniel 12 2021 Homogenization of the degenerate two-phase flow equations. Zbl 1373.35032 Henning, Patrick; Ohlberger, Mario; Schweizer, Ben 12 2013 The finite element method for the time-dependent Gross-Pitaevskii equation with angular momentum rotation. Zbl 1362.65105 Henning, Patrick; Målqvist, Axel 10 2017 Multiscale mixed finite elements. Zbl 1388.76144 Målqvist, Axel; Henning, Patrick; Hellman, Fredrik 9 2016 Numerical comparison of mass-conservative schemes for the Gross-Pitaevskii equation. Zbl 1434.65183 Henning, Patrick; Wärnegård, Johan 8 2019 A multiscale method for linear elasticity reducing Poisson locking. Zbl 1439.74042 Henning, Patrick; Persson, Anna 8 2016 Computational homogenization of time-harmonic Maxwell’s equations. Zbl 1440.35320 Henning, Patrick; Persson, Anna 8 2020 Adaptive heterogeneous multiscale methods for immiscible two-phase flow in porous media. Zbl 1326.76060 Henning, Patrick; Ohlberger, Mario; Schweizer, Ben 7 2015 Multiscale methods for wave problems in heterogeneous media. Zbl 1368.65184 Abdulle, A.; Henning, P. 6 2017 A note on homogenization of advection-diffusion problems with large expected drift. Zbl 1223.35042 Henning, Patrick; Ohlberger, Mario 5 2011 A Newton-scheme framework for multiscale methods for nonlinear elliptic homogenization problems. Zbl 1278.65178 Henning, Patrick; Ohlberger, Mario 4 2012 A note on optimal \(H^1\)-error estimates for Crank-Nicolson approximations to the nonlinear Schrödinger equation. Zbl 1460.35326 Henning, Patrick; Wärnegård, Johan 4 2021 Superconvergence of time invariants for the Gross-Pitaevskii equation. Zbl 1483.35213 Henning, Patrick; Wärnegård, Johan 3 2022 Localization and delocalization of ground states of Bose-Einstein condensates under disorder. Zbl 1502.82009 Altmann, Robert; Henning, Patrick; Peterseim, Daniel 3 2022 Convergence of MsFEM approximations for elliptic, non-periodic homogenization problems. Zbl 1263.35074 Henning, Patrick 3 2012 Heterogeneous multiscale finite element methods for advection-diffusion and nonlinear elliptic multiscale problems. Zbl 1222.65004 Henning, Patrick 2 2011 A-posteriori error estimate for a heterogeneous multiscale approximation of advection-diffusion problems with large expected drift. Zbl 1357.65147 Henning, Patrick; Ohlberger, Mario 2 2016 Superconvergence of time invariants for the Gross-Pitaevskii equation. Zbl 1483.35213 Henning, Patrick; Wärnegård, Johan 3 2022 Localization and delocalization of ground states of Bose-Einstein condensates under disorder. Zbl 1502.82009 Altmann, Robert; Henning, Patrick; Peterseim, Daniel 3 2022 Numerical homogenization beyond scale separation. Zbl 07674568 Altmann, Robert; Henning, Patrick; Peterseim, Daniel 25 2021 The \(J\)-method for the Gross-Pitaevskii eigenvalue problem. Zbl 1510.65289 Altmann, Robert; Henning, Patrick; Peterseim, Daniel 12 2021 A note on optimal \(H^1\)-error estimates for Crank-Nicolson approximations to the nonlinear Schrödinger equation. Zbl 1460.35326 Henning, Patrick; Wärnegård, Johan 4 2021 Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem: global convergence and computational efficiency. Zbl 1512.35538 Henning, Patrick; Peterseim, Daniel 19 2020 Quantitative Anderson localization of Schrödinger eigenstates under disorder potentials. Zbl 1444.65064 Altmann, Robert; Henning, Patrick; Peterseim, Daniel 12 2020 Computational homogenization of time-harmonic Maxwell’s equations. Zbl 1440.35320 Henning, Patrick; Persson, Anna 8 2020 Efficient implementation of the localized orthogonal decomposition method. Zbl 1441.65100 Engwer, Christian; Henning, Patrick; Målqvist, Axel; Peterseim, Daniel 20 2019 Numerical comparison of mass-conservative schemes for the Gross-Pitaevskii equation. Zbl 1434.65183 Henning, Patrick; Wärnegård, Johan 8 2019 Numerical homogenization of \(\mathbf H(\mathrm{curl})\)-problems. Zbl 1402.65178 Gallistl, Dietmar; Henning, Patrick; Verfürth, Barbara 16 2018 Localized orthogonal decomposition method for the wave equation with a continuum of scales. Zbl 1358.65064 Abdulle, Assyr; Henning, Patrick 29 2017 Crank-Nicolson Galerkin approximations to nonlinear Schrödinger equations with rough potentials. Zbl 1377.65128 Henning, Patrick; Peterseim, Daniel 13 2017 The finite element method for the time-dependent Gross-Pitaevskii equation with angular momentum rotation. Zbl 1362.65105 Henning, Patrick; Målqvist, Axel 10 2017 Multiscale methods for wave problems in heterogeneous media. Zbl 1368.65184 Abdulle, A.; Henning, P. 6 2017 A new heterogeneous multiscale method for time-harmonic Maxwell’s equations. Zbl 1357.35028 Henning, Patrick; Ohlberger, Mario; Verfürth, Barbara 20 2016 Multiscale mixed finite elements. Zbl 1388.76144 Målqvist, Axel; Henning, Patrick; Hellman, Fredrik 9 2016 A multiscale method for linear elasticity reducing Poisson locking. Zbl 1439.74042 Henning, Patrick; Persson, Anna 8 2016 A-posteriori error estimate for a heterogeneous multiscale approximation of advection-diffusion problems with large expected drift. Zbl 1357.65147 Henning, Patrick; Ohlberger, Mario 2 2016 Multiscale partition of unity. Zbl 1333.65130 Henning, Patrick; Morgenstern, Philipp; Peterseim, Daniel 24 2015 On multiscale methods in Petrov-Galerkin formulation. Zbl 1330.65187 Elfverson, Daniel; Ginting, Victor; Henning, Patrick 17 2015 A reduced basis localized orthogonal decomposition. Zbl 1349.65609 Abdulle, Assyr; Henning, Patrick 13 2015 Error control and adaptivity for heterogeneous multiscale approximations of nonlinear monotone problems. Zbl 1302.65127 Henning, Patrick; Ohlberger, Mario 12 2015 Adaptive heterogeneous multiscale methods for immiscible two-phase flow in porous media. Zbl 1326.76060 Henning, Patrick; Ohlberger, Mario; Schweizer, Ben 7 2015 A localized orthogonal decomposition method for semi-linear elliptic problems. Zbl 1300.35011 Henning, Patrick; Målqvist, Axel; Peterseim, Daniel 48 2014 Localized orthogonal decomposition techniques for boundary value problems. Zbl 1303.35007 Henning, Patrick; Målqvist, Axel 41 2014 Two-level discretization techniques for ground state computations of Bose-Einstein condensates. Zbl 1308.35272 Henning, Patrick; Målqvist, Axel; Peterseim, Daniel 27 2014 An adaptive multiscale finite element method. Zbl 1312.65191 Henning, Patrick; Ohlberger, Mario; Schweizer, Ben 19 2014 Oversampling for the multiscale finite element method. Zbl 1297.65155 Henning, Patrick; Peterseim, Daniel 88 2013 Homogenization of the degenerate two-phase flow equations. Zbl 1373.35032 Henning, Patrick; Ohlberger, Mario; Schweizer, Ben 12 2013 A Newton-scheme framework for multiscale methods for nonlinear elliptic homogenization problems. Zbl 1278.65178 Henning, Patrick; Ohlberger, Mario 4 2012 Convergence of MsFEM approximations for elliptic, non-periodic homogenization problems. Zbl 1263.35074 Henning, Patrick 3 2012 A note on homogenization of advection-diffusion problems with large expected drift. Zbl 1223.35042 Henning, Patrick; Ohlberger, Mario 5 2011 Heterogeneous multiscale finite element methods for advection-diffusion and nonlinear elliptic multiscale problems. Zbl 1222.65004 Henning, Patrick 2 2011 The heterogeneous multiscale finite element method for advection-diffusion problems with rapidly oscillating coefficients and large expected drift. Zbl 1264.65161 Henning, Patrick; Ohlberger, Mario 21 2010 The heterogeneous multiscale finite element method for elliptic homogenization problems in perforated domains. Zbl 1185.65210 Henning, Patrick; Ohlberger, Mario 35 2009 all cited Publications top 5 cited Publications all top 5 Cited by 425 Authors 32 Peterseim, Daniel 31 Chung, Tsz Shun Eric 27 Henning, Patrick 19 Efendiev, Yalchin R. 17 Ohlberger, Mario 16 Abdulle, Assyr 16 Målqvist, Axel 15 Leung, Wingtat 13 Verfürth, Barbara 10 Maier, Roland 9 Pun, Saimang 8 Altmann, Robert 8 Amaziane, Brahim 8 Legoll, Frédéric 8 Pankratov, Leonid S. 7 Gallistl, Dietmar 7 Hou, Thomas Yizhao 6 Vasilyeva, Maria V. 5 Brown, Donald L. 5 Deng, Weibing 5 Hauck, Moritz 5 Huber, Martin E. 5 Le Bris, Claude 5 Piatnitski, Andrey L. 5 Smetana, Kathrin 5 Wang, Yating 5 Zhang, Lei 4 Chamoin, Ludovic 4 Cheung, Siu Wun 4 Cui, Jin 4 Hellman, Fredrik 4 Keil, Tim 4 Ljung, Per 4 Lozinski, Alexei 4 Schweizer, Ben 4 Shi, Dongyang 4 Wang, Yushun 4 Wu, Haijun 4 Ye, Changqing 4 Zhang, Zecheng 3 Arjmand, Doghonay 3 Cao, Liqun 3 Chaumont-Frelet, Théophile 3 Chen, Yanping 3 Engwer, Christian 3 Heid, Pascal 3 Jecker, Orane 3 Jiang, Chaolong 3 Jiang, Lijian 3 Jurak, Mladen 3 Liu, Wei 3 Liu, Xinliang 3 Ma, Chupeng 3 Madureira, Alexandre L. 3 Pouchon, Timothée 3 Scheichl, Robert 3 Schillinger, Dominik 3 Steinerberger, Stefan 3 Vabishchevich, Pëtr Nikolaevich 3 Valentin, Frédéric 3 Xie, Hehu 3 Zhang, Yongwei 2 Alikhanov, Anatoliĭ Alievich 2 Allaire, Grégoire 2 Bao, Weizhu 2 Bastian, Peter 2 Brenner, Susanne Cecelia 2 Buhr, Andreas 2 Cai, Wenjun 2 Chen, Shi 2 Chen, Yifan 2 Dedner, Andreas S. 2 Devloo, Philippe Remy Bernard 2 Ern, Alexandre 2 Freese, Philip 2 Frénod, Emmanuel 2 Fu, Shubin 2 Garay, José C. 2 Geihe, Benedict 2 Giani, Stefano 2 Gomes, Sônia Maria 2 Hennig, Paul 2 Hoang, Viet Ha 2 Hu, Hanzhang 2 Hu, Jiuhua 2 Huang, Yunqing 2 Jiang, Shan 2 Kästner, Markus 2 Klöfkorn, Robert 2 Lemaire, Simon 2 Li, Buyang 2 Li, Qin 2 Li, Wenyuan 2 Lin, Guang 2 Liu, Pengfei 2 Lu, Jianfeng 2 Maier, Bernhard 2 Maier, Matthias Sebastian 2 Ming, Pingbing 2 Nguyen, Lam H. ...and 325 more Authors all top 5 Cited in 69 Serials 40 Journal of Computational Physics 37 Multiscale Modeling & Simulation 20 Journal of Computational and Applied Mathematics 19 SIAM Journal on Numerical Analysis 15 SIAM Journal on Scientific Computing 15 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 14 Computer Methods in Applied Mechanics and Engineering 9 Journal of Scientific Computing 8 Mathematics of Computation 8 Numerische Mathematik 7 Computers & Mathematics with Applications 7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 7 Discrete and Continuous Dynamical Systems. Series S 5 Applied Mathematics and Computation 4 BIT 4 International Journal for Numerical Methods in Engineering 4 Computational Methods in Applied Mathematics 3 Journal of Computational Mathematics 3 Numerical Methods for Partial Differential Equations 3 Computational and Applied Mathematics 3 Communications in Nonlinear Science and Numerical Simulation 3 Computational Geosciences 3 Nonlinear Analysis. Real World Applications 3 Foundations of Computational Mathematics 3 Networks and Heterogeneous Media 2 Applicable Analysis 2 Computer Physics Communications 2 Journal of Differential Equations 2 Numerical Algorithms 2 Communications in Partial Differential Equations 2 International Journal of Computer Mathematics 2 ETNA. Electronic Transactions on Numerical Analysis 2 Advances in Computational Mathematics 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Numerical Mathematics 2 Research in the Mathematical Sciences 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Computing 1 Quarterly of Applied Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Chinese Annals of Mathematics. Series B 1 Applied Numerical Mathematics 1 Computational Mechanics 1 SIAM Journal on Matrix Analysis and Applications 1 Applied Mathematical Modelling 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Complexity 1 Engineering Analysis with Boundary Elements 1 Discrete and Continuous Dynamical Systems 1 Mathematical Problems in Engineering 1 Fractional Calculus & Applied Analysis 1 The ANZIAM Journal 1 International Journal of Computational Methods 1 Acta Numerica 1 International Journal of Numerical Analysis and Modeling 1 GAMM-Mitteilungen 1 Optimization Letters 1 Communications in Computational Physics 1 Kinetic and Related Models 1 Numerical Mathematics: Theory, Methods and Applications 1 Advances in Applied Mathematics and Mechanics 1 S\(\vec{\text{e}}\)MA Journal 1 Journal of Applied Analysis and Computation 1 East Asian Journal on Applied Mathematics 1 AIMS Mathematics 1 SIAM Journal on Mathematics of Data Science all top 5 Cited in 24 Fields 274 Numerical analysis (65-XX) 197 Partial differential equations (35-XX) 63 Fluid mechanics (76-XX) 52 Mechanics of deformable solids (74-XX) 22 Optics, electromagnetic theory (78-XX) 15 Statistical mechanics, structure of matter (82-XX) 14 Quantum theory (81-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 9 Computer science (68-XX) 6 Probability theory and stochastic processes (60-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Approximations and expansions (41-XX) 5 Systems theory; control (93-XX) 4 Operator theory (47-XX) 4 Statistics (62-XX) 3 Operations research, mathematical programming (90-XX) 2 Potential theory (31-XX) 2 Ordinary differential equations (34-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geophysics (86-XX) Citations by Year