Edit Profile (opens in new tab) Berninger, Heiko Co-Author Distance Author ID: berninger.heiko Published as: Berninger, Heiko; Berninger, H. Documents Indexed: 12 Publications since 2003 Co-Authors: 18 Co-Authors with 11 Joint Publications 626 Co-Co-Authors all top 5 Co-Authors 1 single-authored 8 Sander, Oliver 4 Kornhuber, Ralf 2 Frénod, Emmanuel 2 Gander, Martin Jakob 2 Liebendörfer, Matthias 2 Michaud, Jérôme 2 Ohlberger, Mario 2 Smetana, Kathrin 1 Bastian, Peter 1 Dedner, Andreas S. 1 Engwer, Christian 1 Henning, Patrick 1 Kröner, Dietmar 1 Loisel, Sébastien 1 Schiffler, Gerd 1 Shokina, Nina 1 Vasset, Nicolas 1 Werner, Dirk all top 5 Serials 2 Computing and Visualization in Science 1 SIAM Journal on Numerical Analysis 1 Extracta Mathematicae 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Journal on Mathematical Analysis 1 SIAM Journal on Scientific Computing 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Computational Geosciences all top 5 Fields 9 Numerical analysis (65-XX) 9 Fluid mechanics (76-XX) 6 Partial differential equations (35-XX) 4 Mechanics of deformable solids (74-XX) 2 Astronomy and astrophysics (85-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 10 Publications have been cited 74 times in 53 Documents Cited by ▼ Year ▼ Fast and robust numerical solution of the Richards equation in homogeneous soil. Zbl 1298.76115 Berninger, Heiko; Kornhuber, Ralf; Sander, Oliver 12 2011 Non-overlapping domain decomposition for the Richards equation via superposition operators. Zbl 1284.76350 Berninger, Heiko 11 2009 The 2-Lagrange multiplier method applied to nonlinear transmission problems for the Richards equation in heterogeneous soil with cross points. Zbl 1355.74056 Berninger, Heiko; Loisel, Sébastien; Sander, Oliver 11 2014 A multidomain discretization of the Richards equation in layered soil. Zbl 1326.76055 Berninger, Heiko; Kornhuber, Ralf; Sander, Oliver 10 2015 Convergence behaviour of Dirichlet-Neumann and Robin methods for a nonlinear transmission problem. Zbl 1217.65200 Berninger, Heiko; Kornhuber, Ralf; Sander, Oliver 8 2011 Unsaturated subsurface flow with surface water and nonlinear in- and outflow conditions. Zbl 1288.35023 Berninger, Heiko; Ohlberger, Mario; Sander, Oliver; Smetana, Kathrin 7 2014 Substructuring of a Signorini-type problem and Robin’s method for the Richards equation in heterogeneous soil. Zbl 1337.74035 Berninger, Heiko; Sander, Oliver 6 2010 Derivation of the isotropic diffusion source approximation (IDSA) for supernova neutrino transport by asymptotic expansions. Zbl 1307.35181 Berninger, H.; Frénod, E.; Gander, M.; Liebendörfer, M.; Michaud, J. 4 2013 A mathematical description of the IDSA for supernova neutrino transport, its discretization and a comparison with a finite volume scheme for Boltzmann’s equation. Zbl 1329.85003 Berninger, Heiko; Frénod, Emmanuel; Gander, Martin J.; Liebendörfer, Matthias; Michaud, Jérôme; Vasset, Nicolas 3 2012 Lipschitz spaces and \(M\)-ideals. Zbl 1042.46007 Berninger, Heiko; Werner, Dirk 2 2003 A multidomain discretization of the Richards equation in layered soil. Zbl 1326.76055 Berninger, Heiko; Kornhuber, Ralf; Sander, Oliver 10 2015 The 2-Lagrange multiplier method applied to nonlinear transmission problems for the Richards equation in heterogeneous soil with cross points. Zbl 1355.74056 Berninger, Heiko; Loisel, Sébastien; Sander, Oliver 11 2014 Unsaturated subsurface flow with surface water and nonlinear in- and outflow conditions. Zbl 1288.35023 Berninger, Heiko; Ohlberger, Mario; Sander, Oliver; Smetana, Kathrin 7 2014 Derivation of the isotropic diffusion source approximation (IDSA) for supernova neutrino transport by asymptotic expansions. Zbl 1307.35181 Berninger, H.; Frénod, E.; Gander, M.; Liebendörfer, M.; Michaud, J. 4 2013 A mathematical description of the IDSA for supernova neutrino transport, its discretization and a comparison with a finite volume scheme for Boltzmann’s equation. Zbl 1329.85003 Berninger, Heiko; Frénod, Emmanuel; Gander, Martin J.; Liebendörfer, Matthias; Michaud, Jérôme; Vasset, Nicolas 3 2012 Fast and robust numerical solution of the Richards equation in homogeneous soil. Zbl 1298.76115 Berninger, Heiko; Kornhuber, Ralf; Sander, Oliver 12 2011 Convergence behaviour of Dirichlet-Neumann and Robin methods for a nonlinear transmission problem. Zbl 1217.65200 Berninger, Heiko; Kornhuber, Ralf; Sander, Oliver 8 2011 Substructuring of a Signorini-type problem and Robin’s method for the Richards equation in heterogeneous soil. Zbl 1337.74035 Berninger, Heiko; Sander, Oliver 6 2010 Non-overlapping domain decomposition for the Richards equation via superposition operators. Zbl 1284.76350 Berninger, Heiko 11 2009 Lipschitz spaces and \(M\)-ideals. Zbl 1042.46007 Berninger, Heiko; Werner, Dirk 2 2003 all cited Publications top 5 cited Publications all top 5 Cited by 109 Authors 6 Pop, Iuliu Sorin 5 Berninger, Heiko 5 Radu, Florin Adrian 4 Sander, Oliver 3 Ahmed, Elyes 3 Kumar, Kundan 3 Kwok, Felix 3 Ohlberger, Mario 3 Rohde, Christian 3 Saritskaia, Zhanna Yurievna 3 Smetana, Kathrin 2 Christlieb, Andrew J. 2 Crockatt, Michael M. 2 Gander, Martin Jakob 2 Hauck, Cory D. 2 Henning, Patrick 2 Japhet, Caroline 2 Kern, Michel 2 Kornhuber, Ralf 2 List, Florian 2 Loisel, Sébastien 2 Maksimova, Nadezhda Nikolaevna 2 Maslovskaya, Anna G. 2 Michaud, Jérôme 2 Rosier, Carole 2 Seus, David 2 Tsegmid, Munkhgerel 1 Abdulle, Assyr 1 Al Nazer, Safaa 1 Albuja, Guillermo 1 Alekseev, Gennady V. 1 Andreianov, Boris 1 Ávila, Andrés I. 1 Baranovskiĭ, Evgeniĭ Sergeevich 1 Bastian, Peter 1 Berardi, Marco 1 Bogers, Jeroen 1 Bourel, Christophe 1 Budiša, Ana 1 Bystrova, V. S. 1 Cancès, Clément 1 Charhabil, Ayoub 1 Choquet, Catherine 1 Ciaramella, Gabriele 1 Dedner, Andreas S. 1 Difonzo, Fabio Vito 1 Egidi, Nadaniela 1 El Ghordaf, J. 1 Elhajaji, A. 1 Engström, Emil 1 Engwer, Christian 1 Frénod, Emmanuel 1 Fumagalli, Alessio 1 Garrett, C. Kristopher 1 Gioia, E. 1 Gsell, Matthias A. F. 1 Gu, Yaguang 1 Gulgowski, Jacek 1 Hansen, Eskil 1 Hassan, Sarah Ali 1 Haynes, Ronald D. 1 Helmig, Rainer 1 Horne, Roland N. 1 Huang, J. 1 Jeannin, Laurent 1 Jelti, S. 1 Jiménez-Vargas, Antonio 1 Kasprzak, Piotr 1 Keilegavlen, Eirik 1 Koch, Timo 1 Koren, Barry 1 Kröner, Dietmar 1 Liebendörfer, Matthias 1 Liu, Liguang 1 Lopez, Luciano 1 Louvet, Floriane 1 Lunowa, Stephan Benjamin 1 Maćkowiak, Piotr 1 Magiera, Jim 1 Maksimov, P. A. 1 Mankad, Het 1 Maponi, Pierluigi 1 Masson, Roland 1 Mitra, Koondanibha 1 Moussa, Ayman 1 Nguyen Trung Hieu 1 Nordbotten, Jan Martin 1 Rocha, Franciane F. 1 Rueda, Pilar 1 Rybak, Iryna V. 1 Scheichl, Robert 1 Schiffler, Gerd 1 Schneider, Martin 1 Serghini, Abdelhafid 1 Shokina, Nina 1 Sousa, Fabrício S. 1 Steinbach, Olaf 1 Tchelepi, Hamdi A. 1 Thi Thao Phuong Hoang 1 Vasset, Nicolas ...and 9 more Authors all top 5 Cited in 36 Serials 7 Journal of Computational Physics 4 Computational Geosciences 3 Computer Methods in Applied Mechanics and Engineering 3 Computational Mathematics and Mathematical Physics 2 SIAM Journal on Numerical Analysis 1 Computers & Mathematics with Applications 1 Studia Mathematica 1 Mathematics of Computation 1 Acta Mathematica Vietnamica 1 Applied Mathematics and Computation 1 Journal of Functional Analysis 1 Numerische Mathematik 1 Tokyo Journal of Mathematics 1 Applied Numerical Mathematics 1 Numerical Methods for Partial Differential Equations 1 Journal of Scientific Computing 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Applied Mathematical Modelling 1 International Journal of Computer Mathematics 1 SIAM Journal on Mathematical Analysis 1 Potential Analysis 1 SIAM Journal on Scientific Computing 1 Electronic Journal of Differential Equations (EJDE) 1 Computing and Visualization in Science 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Vietnam Journal of Mathematics 1 Revista Matemática Complutense 1 Journal of Dynamical and Control Systems 1 Differential Equations 1 Nonlinear Analysis. Real World Applications 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 The Annals of Applied Statistics 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Applied Mathematics & Informatics 1 Journal of Siberian Federal University. Mathematics & Physics 1 SMAI Journal of Computational Mathematics all top 5 Cited in 21 Fields 31 Numerical analysis (65-XX) 30 Partial differential equations (35-XX) 29 Fluid mechanics (76-XX) 5 Functional analysis (46-XX) 5 Mechanics of deformable solids (74-XX) 5 Geophysics (86-XX) 3 Operator theory (47-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Optics, electromagnetic theory (78-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Relativity and gravitational theory (83-XX) 2 Astronomy and astrophysics (85-XX) 2 Systems theory; control (93-XX) 1 Real functions (26-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Citations by Year