Edit Profile (opens in new tab) Le Borne, Sabine Compute Distance To: Compute Author ID: le-borne.sabine Published as: Le Borne, Sabine; Le Borne, S. Documents Indexed: 34 Publications since 2000 1 Contribution as Editor Co-Authors: 28 Co-Authors with 25 Joint Publications 737 Co-Co-Authors all top 5 Co-Authors 10 single-authored 4 Wende, Michael 3 Ahrens, Robin 3 Grasedyck, Lars 3 Kriemann, Ronald 3 Rebholz, Leo G. 2 Börm, Steffen 2 Hackbusch, Wolfgang 2 Oliveira, Suely P. 1 Betcke, Timo 1 Bowers, Abigail L. 1 Brüns, Heinz-D. 1 Cook, David II 1 Cousins, Benjamin R. 1 Iske, Armin 1 Kan, Yi-Kai 1 Kärtner, Franz X. 1 Linke, Alexander 1 Maitre, Jean-François 1 Martinsson, Per-Gunnar 1 Ngufor, Che 1 Ovall, Jeffrey S. 1 Reuschel, Torsten 1 Ruprecht, Daniel 1 Schuster, Christian 1 Shahmuradyan, Lusine 1 Vogt, Alexander 1 Wang, Zhen 1 Zemke, Jens-Peter Max all top 5 Serials 4 Computing 3 SIAM Journal on Matrix Analysis and Applications 3 SIAM Journal on Scientific Computing 2 Applied Numerical Mathematics 2 Numerical Linear Algebra with Applications 2 ETNA. Electronic Transactions on Numerical Analysis 2 Computing and Visualization in Science 2 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal for Numerical Methods in Fluids 1 Journal of Computational Physics 1 Journal of Computational and Applied Mathematics 1 Numerische Mathematik 1 Numerical Methods for Partial Differential Equations 1 Numerical Algorithms 1 Linear Algebra and its Applications 1 Advances in Computational Mathematics 1 IEEE Transactions on Antennas and Propagation 1 Oberwolfach Reports all top 5 Fields 30 Numerical analysis (65-XX) 10 Partial differential equations (35-XX) 9 Fluid mechanics (76-XX) 3 Approximations and expansions (41-XX) 3 Integral equations (45-XX) 2 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 23 Publications have been cited 156 times in 123 Documents Cited by ▼ Year ▼ Domain decomposition based \({\mathcal H}\)-LU preconditioning. Zbl 1178.65140Grasedyck, Lars; Kriemann, Ronald; Le Borne, Sabine 44 2009 \(\mathcal H\)-LU factorization in preconditioners for augmented Lagrangian and grad-div stabilized saddle point systems. Zbl 1426.76224Börm, Steffen; Le Borne, Sabine 17 2012 \(\mathcal H\)-matrix preconditioners in convection-dominated problems. Zbl 1102.65051Le Borne, Sabine; Grasedyck, Lars 17 2006 Error analysis and iterative solvers for Navier-Stokes projection methods with standard and sparse grad-div stabilization. Zbl 1296.76079Bowers, Abigail L.; Le Borne, Sabine; Rebholz, Leo G. 15 2014 Efficient linear solvers for incompressible flow simulations using Scott-Vogelius finite elements. Zbl 1312.76025Cousins, Benjamin R.; Le Borne, Sabine; Linke, Alexander; Rebholz, Leo G.; Wang, Zhen 8 2013 Adaptive geometrically balanced clustering of \({\mathcal H}\)-matrices. Zbl 1063.65031Grasedyck, L.; Hackbusch, W.; Le Borne, S. 7 2004 Block computation and representation of a sparse nullspace basis of a rectangular matrix. Zbl 1142.65041Le Borne, Sabine 6 2008 Preconditioning sparse grad-div/augmented Lagrangian stabilized saddle point systems. Zbl 1376.65034Le Borne, Sabine; Rebholz, Leo G. 5 2013 \(\mathcal H\)-FAINV: hierarchically factored approximate inverse preconditioners. Zbl 1388.65027Kriemann, Ronald; Le Borne, S. 5 2015 Preconditioned nullspace method for the two-dimensional Oseen problem. Zbl 1387.76084Le Borne, Sabine 5 2009 Hierarchical matrix approximation for kernel-based scattered data interpolation. Zbl 1375.65012Iske, Armin; Le Borne, Sabine; Wende, Michael 5 2017 Ordering techniques for two- and three-dimensional convection-dominated elliptic boundary value problems. Zbl 0969.76072Le Borne, S. 4 2000 \(\mathcal H\)-matrices for convection-diffusion problems with constant convection. Zbl 1033.65011Le Borne, Sabine 3 2003 Algorithms for the Haar wavelet based fast evaluation of aggregation integrals in population balance equations. Zbl 1346.65077Le Borne, Sabine; Shahmuradyan, Lusine 3 2016 An implicit approximate inverse preconditioner for saddle point problems. Zbl 1205.65140Le Borne, Sabine; Ngufor, Che 2 2010 Domain decomposition methods in scattered data interpolation with conditionally positive definite radial basis functions. Zbl 1442.65405Le Borne, Sabine; Wende, Michael 2 2019 Construction of a discrete divergence-free basis through orthogonal factorization in \({\mathcal{H}}\)-arithmetic. Zbl 1130.76046Le Borne, S.; Cook, D. II 2 2007 \(\mathcal H\)-matrix preconditioners for symmetric saddle-point systems from meshfree discretization. Zbl 1212.65120Le Borne, S.; Oliveira, S.; Yang, F. 1 2008 Iterative solution of Saddle-point systems from radial basis function (RBF) interpolation. Zbl 1420.65023Le Borne, Sabine; Wende, Michael 1 2019 On the treatment of arbitrary boundary conditions using a fast direct \(\mathcal H\)-matrix solver in MoM. Zbl 1395.94171Vogt, Alexander; Reuschel, Torsten; Brüns, Heinz-D.; Le Borne, Sabine; Schuster, Christian 1 2016 FFT-based evaluation of multivariate aggregation integrals in population balance equations on uniform tensor grids. Zbl 06860316Ahrens, Robin; Le Borne, Sabine 1 2018 Multilevel hierarchical matrices. Zbl 1124.65030Le Borne, Sabine 1 2006 Factorization, symmetrization, and truncated transformation of radial basis function-GA stabilized Gaussian radial basis functions. Zbl 07062411Le Borne, Sabine 1 2019 Domain decomposition methods in scattered data interpolation with conditionally positive definite radial basis functions. Zbl 1442.65405Le Borne, Sabine; Wende, Michael 2 2019 Iterative solution of Saddle-point systems from radial basis function (RBF) interpolation. Zbl 1420.65023Le Borne, Sabine; Wende, Michael 1 2019 Factorization, symmetrization, and truncated transformation of radial basis function-GA stabilized Gaussian radial basis functions. Zbl 07062411Le Borne, Sabine 1 2019 FFT-based evaluation of multivariate aggregation integrals in population balance equations on uniform tensor grids. Zbl 06860316Ahrens, Robin; Le Borne, Sabine 1 2018 Hierarchical matrix approximation for kernel-based scattered data interpolation. Zbl 1375.65012Iske, Armin; Le Borne, Sabine; Wende, Michael 5 2017 Algorithms for the Haar wavelet based fast evaluation of aggregation integrals in population balance equations. Zbl 1346.65077Le Borne, Sabine; Shahmuradyan, Lusine 3 2016 On the treatment of arbitrary boundary conditions using a fast direct \(\mathcal H\)-matrix solver in MoM. Zbl 1395.94171Vogt, Alexander; Reuschel, Torsten; Brüns, Heinz-D.; Le Borne, Sabine; Schuster, Christian 1 2016 \(\mathcal H\)-FAINV: hierarchically factored approximate inverse preconditioners. Zbl 1388.65027Kriemann, Ronald; Le Borne, S. 5 2015 Error analysis and iterative solvers for Navier-Stokes projection methods with standard and sparse grad-div stabilization. Zbl 1296.76079Bowers, Abigail L.; Le Borne, Sabine; Rebholz, Leo G. 15 2014 Efficient linear solvers for incompressible flow simulations using Scott-Vogelius finite elements. Zbl 1312.76025Cousins, Benjamin R.; Le Borne, Sabine; Linke, Alexander; Rebholz, Leo G.; Wang, Zhen 8 2013 Preconditioning sparse grad-div/augmented Lagrangian stabilized saddle point systems. Zbl 1376.65034Le Borne, Sabine; Rebholz, Leo G. 5 2013 \(\mathcal H\)-LU factorization in preconditioners for augmented Lagrangian and grad-div stabilized saddle point systems. Zbl 1426.76224Börm, Steffen; Le Borne, Sabine 17 2012 An implicit approximate inverse preconditioner for saddle point problems. Zbl 1205.65140Le Borne, Sabine; Ngufor, Che 2 2010 Domain decomposition based \({\mathcal H}\)-LU preconditioning. Zbl 1178.65140Grasedyck, Lars; Kriemann, Ronald; Le Borne, Sabine 44 2009 Preconditioned nullspace method for the two-dimensional Oseen problem. Zbl 1387.76084Le Borne, Sabine 5 2009 Block computation and representation of a sparse nullspace basis of a rectangular matrix. Zbl 1142.65041Le Borne, Sabine 6 2008 \(\mathcal H\)-matrix preconditioners for symmetric saddle-point systems from meshfree discretization. Zbl 1212.65120Le Borne, S.; Oliveira, S.; Yang, F. 1 2008 Construction of a discrete divergence-free basis through orthogonal factorization in \({\mathcal{H}}\)-arithmetic. Zbl 1130.76046Le Borne, S.; Cook, D. II 2 2007 \(\mathcal H\)-matrix preconditioners in convection-dominated problems. Zbl 1102.65051Le Borne, Sabine; Grasedyck, Lars 17 2006 Multilevel hierarchical matrices. Zbl 1124.65030Le Borne, Sabine 1 2006 Adaptive geometrically balanced clustering of \({\mathcal H}\)-matrices. Zbl 1063.65031Grasedyck, L.; Hackbusch, W.; Le Borne, S. 7 2004 \(\mathcal H\)-matrices for convection-diffusion problems with constant convection. Zbl 1033.65011Le Borne, Sabine 3 2003 Ordering techniques for two- and three-dimensional convection-dominated elliptic boundary value problems. Zbl 0969.76072Le Borne, S. 4 2000 all cited Publications top 5 cited Publications all top 5 Cited by 199 Authors 16 Le Borne, Sabine 12 Rebholz, Leo G. 5 Martinsson, Per-Gunnar 5 Melenk, Jens Markus 5 Xiao, Mengying 4 Faustmann, Markus 4 John, Volker 4 Layton, William J. 4 Saad, Yousef 4 Xi, Yuanzhe 3 Benner, Peter 3 Börm, Steffen 3 García-Archilla, Bosco 3 Grasedyck, Lars 3 Huang, Pengzhan 3 Keyes, David Elliot 3 Li, Ruipeng 3 Linke, Alexander 3 Mach, Thomas 3 Novo, Julia 3 Rong, Yao 3 Turkiyyah, George M. 3 Wende, Michael 3 Xia, Jianlin 3 Ying, Lexing 2 Ahmed, Naveed 2 Akbas, Mine 2 Angleitner, Niklas 2 Benzi, Michele 2 Chávez, Gustavo 2 Darve, Eric 2 de Frutos, Javier 2 DeCaria, Victor P. 2 Dölz, Jürgen 2 Fiordilino, Joseph Anthony 2 Gatto, Paolo 2 Gillman, Adrianna 2 Harbrecht, Helmut 2 Hesthaven, Jan S. 2 Kriemann, Ronald 2 Li, Wei Wayne 2 Li, Xiaoye Sherry 2 Napov, Artem 2 Obrist, Dominik 2 Ovall, Jeffrey S. 2 Praetorius, Dirk 2 Reimer, Knut 2 Rüde, Ulrich 2 Schmitz, Phillip G. 2 Singh, Mehakpreet 2 Vargun, Duygu 2 Waluga, Christian 2 Wang, Zhen 2 Wohlmuth, Barbara I. 2 Zhang, Shuo 1 Aggul, Mustafa 1 Ahrens, Robin 1 Alart, Pierre 1 Alonso Rodríguez, Ana 1 Altmann, Robert 1 Anciaux, Guillaume 1 Ashcraft, Cleve 1 Balakrishnan, Venkataramanan 1 Barthelmé, Simon 1 Bartsch, Clemens 1 Bentley, Alistair 1 Boman, Erik G. 1 Bonelle, Jérôme 1 Boukaram, Wajih-Halim 1 Bowers, Abigail L. 1 Buttari, Alfredo 1 Camaño, Jessika 1 Cambier, Léopold 1 Cao, Yang 1 Cauley, Stephen 1 Chandrasekaran, Shivkumar 1 Chen, Chao 1 Chen, Hua 1 Chen, Yuyan 1 Christiansen, Rasmus E. 1 Çibik, Aytekin Bayram 1 Clees, Tanja 1 Coifman, Ronald Raphaël 1 Cook, David II 1 Coulier, Pieter 1 Cousins, Benjamin R. 1 Curtin, William A. 1 De Los Santos, E. 1 Degrande, Geert 1 Eliasson, Peter 1 Ern, Alexandre 1 Fang, Jilin 1 François, Stijn 1 Gerds, Peter 1 Geredeli, Pelin Guven 1 Gu, Ming 1 Hackbusch, Wolfgang 1 Han, Xuli 1 Hao, Sijia 1 He, Yinnian ...and 99 more Authors all top 5 Cited in 36 Serials 13 Computer Methods in Applied Mechanics and Engineering 11 Journal of Computational Physics 10 SIAM Journal on Matrix Analysis and Applications 9 Numerical Linear Algebra with Applications 8 Journal of Computational and Applied Mathematics 7 Journal of Scientific Computing 6 Computing and Visualization in Science 5 SIAM Journal on Scientific Computing 4 Computers & Mathematics with Applications 4 Journal of Mathematical Analysis and Applications 4 Computing 4 Numerische Mathematik 4 Numerical Algorithms 3 Calcolo 3 Engineering Analysis with Boundary Elements 2 Mathematics of Computation 2 Applied Mathematics and Computation 2 Mathematics and Computers in Simulation 2 Advances in Computational Mathematics 2 Journal of Numerical Mathematics 1 Communications on Pure and Applied Mathematics 1 International Journal for Numerical Methods in Fluids 1 Applied Numerical Mathematics 1 Numerical Methods for Partial Differential Equations 1 Machine Learning 1 Linear Algebra and its Applications 1 SIAM Review 1 Applied and Computational Harmonic Analysis 1 International Journal of Computational Fluid Dynamics 1 Vietnam Journal of Mathematics 1 Computational Methods in Applied Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Frontiers of Mathematics in China 1 Advances in Data Analysis and Classification. ADAC 1 Communications in Computational Physics 1 S\(\vec{\text{e}}\)MA Journal all top 5 Cited in 24 Fields 111 Numerical analysis (65-XX) 42 Fluid mechanics (76-XX) 35 Partial differential equations (35-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 6 Mechanics of deformable solids (74-XX) 3 Integral equations (45-XX) 3 Operator theory (47-XX) 3 Probability theory and stochastic processes (60-XX) 3 Computer science (68-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Combinatorics (05-XX) 2 Approximations and expansions (41-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year