Hamburg University of Technology / Institute of Mathematics / Staff / Prof. Dr. Sabine Le Borne / Publications German flag

Publications

Document type:    Year:

2021Symbol: Arrow up
Issue DatePublicationDocument Type
05/02/2021Reconstruction of low-rank aggregation kernels in univariate population balance equations
Robin Ahrens, Sabine Le Borne

Source:
Advances in Computational Mathematics 47 (3): 39 (2021-06-01)

Journal:
Advances in computational mathematics

Project:
  • SPP 1679: Teilprojekt "Numerische L√∂sungsverfahren f√ľr gekoppelte Populationsbilanzsysteme zur dynamischen Simulation multivariater Feststoffprozesse am Beispiel der formselektiven Kristallisation"
  • Projekt DEAL
Article
2020Symbol: Arrow up
Issue DatePublicationDocument Type
06/21/2020Numerical methods for coupled population balance systems applied to the dynamical simulation of crystallization processes
Robin Ahrens, Zahra Lakdawala, Andreas Voigt, Viktoria Wiedmeyer, Volker John, Sabine Le Borne, Kai Sundmacher

Source:
Dynamic Flowsheet Simulation of Solids Processes. Springer, Cham.: 475-518 (2020-06-21)
inBook
03/13/2020Tensor trains and moment conservation for multivariate aggregation in population balance modeling
Robin Ahrens, Sabine Le Borne

Source:
Applied Numerical Mathematics (153): 473-491 (2020)

Journal:
Applied numerical mathematics
Article
01/07/2020Multilevel interpolation of scattered data using H -matrices
Sabine Le Borne, Michael Wende

Source:
Numerical Algorithms (2020-01-01)

Journal:
Numerical Algorithms
Article
2019Symbol: Arrow up
Issue DatePublicationDocument Type
03/01/2019Investigation of an FFT-based solver applied to dynamic flowsheet simulation of agglomeration processes
Vasyl Skorych, Maksym Dosta, Ernst-Ulrich Hartge, Stefan Heinrich, Robin Ahrens, Sabine Le Borne

Source:
Advanced Powder Technology 3 (30): 555-564 (2019-03)

Journal:
Advanced powder technology

Project:
  • SPP 1679: Dynamische Simulation vernetzter Feststoffprozesse
Article
02/15/2019Domain decomposition methods in scattered data interpolation with conditionally positive definite radial basis functions
Sabine Le Borne, Michael Wende

Source:
Computers and Mathematics with Applications 4 (77): 1178-1196 (2019-02-15)

Journal:
Computers and mathematics with applications
Article
01/01/2019Factorization, symmetrization, and truncated transformation of radial basis function-GA stabilized Gaussian radial basis functions
Sabine Le Borne

Source:
SIAM Journal on Matrix Analysis and Applications 2 (40): 517-541 (2019)

Journal:
SIAM journal on matrix analysis and applications
Article
01/01/2019Iterative solution of saddle-point systems from radial basis function (RBF) interpolation
Sabine Le Borne, Michael Wende

Source:
SIAM Journal on Scientific Computing 3 (41): A1706-A1732 (2019)

Journal:
SIAM journal on scientific computing
Article
2018Symbol: Arrow up
Issue DatePublicationDocument Type
08/24/2018Kontinuierliche formselektive Kristallisation: Neue Strategien
Viktoria Wiedmeyer, Andreas Voigt, F. Anker, Volker John, Robin Ahrens, Sabine Le Borne, A. Sundmacher

Source:
Chemie Ingenieur Technik 90 (9): 1198-1198 (2018)

Journal:
Chemie - Ingenieur - Technik
Other
08/15/2018FFT-based evaluation of multivariate aggregation integrals in population balance equations on uniform tensor grids
Robin Ahrens, Sabine Le Borne

Source:
Journal of Computational and Applied Mathematics (338): 280-297 (2018-08-15)

Journal:
Journal of computational and applied mathematics

Project:
  • SPP 1679: Teilprojekt "Numerische L√∂sungsverfahren f√ľr gekoppelte Populationsbilanzsysteme zur dynamischen Simulation multivariater Feststoffprozesse am Beispiel der formselektiven Kristallisation"
Article
2017Symbol: Arrow up
Issue DatePublicationDocument Type
10/03/2017Hierarchical Matrix Approximation for Kernel-Based Scattered Data Interpolation
Armin Iske, Sabine Le Borne, Michael Wende

Source:
SIAM Journal on Scientific Computing 39 (5): A2287-A2316 (2017)

Journal:
SIAM journal on scientific computing
Article
02/02/2017Fast algorithms for hp-discretized univariate population balance aggregation integrals
Sabine Le Borne, Lusine Shahmuradyan

Source:
Computers and Chemical Engineering (97) : 1-12 (2017-02-02)

Journal:
Computers & chemical engineering

Project:
  • SPP 1679: Teilprojekt "Numerische L√∂sungsverfahren f√ľr gekoppelte Populationsbilanzsysteme zur dynamischen Simulation multivariater Feststoffprozesse am Beispiel der formselektiven Kristallisation"
Article
01/01/2017Estimation of aggregation kernels based on Laurent polynomial approximation
Holger Eisenschmidt, M. Soumaya, N. Bajcinca, Sabine Le Borne, Kai Sundmacher

Source:
Computers and Chemical Engineering (103): 210-217 (2017)

Journal:
Computers & chemical engineering

Project:
  • SPP 1679: Teilprojekt "Numerische L√∂sungsverfahren f√ľr gekoppelte Populationsbilanzsysteme zur dynamischen Simulation multivariater Feststoffprozesse am Beispiel der formselektiven Kristallisation"
Article
2016Symbol: Arrow up
Issue DatePublicationDocument Type
10/01/2016Algorithms for the Haar wavelet based fast evaluation of aggregation integrals in population balance equations
Sabine Le Borne, Lusine Shahmuradyan

Source:
Applied Numerical Mathematics (108): 1-20 (2016-10-01)

Journal:
Applied numerical mathematics

Project:
  • SPP 1679: Dynamische Simulation vernetzter Feststoffprozesse
  • SPP 1679: Teilprojekt "Numerische L√∂sungsverfahren f√ľr gekoppelte Populationsbilanzsysteme zur dynamischen Simulation multivariater Feststoffprozesse am Beispiel der formselektiven Kristallisation"
Article
05/19/2016On the Treatment of Arbitrary Boundary Conditions Using a Fast Direct H-Matrix Solver in MoM
Alexander Vogt, Torsten Reuschel, Heinz-Dietrich Br√ľns, Sabine Le Borne, Christian Schuster

Source:
IEEE Transactions on Antennas and Propagation 8 (64): 7473916 3670-3676 (2016-08-01)

Journal:
IEEE transactions on antennas and propagation
Article
01/12/2016Image-based analytical crystal shape computation exemplified for potassium dihydrogen phosphate (KDP)
Sabine Le Borne, Holger Eisenschmidt, Kai Sundmacher

Source:
Chemical Engineering Science (139): 61-74 (2016-01-12)

Journal:
Chemical engineering science

Project:
  • SPP 1679: Dynamische Simulation vernetzter Feststoffprozesse
  • SPP 1679: Teilprojekt "Numerische L√∂sungsverfahren f√ľr gekoppelte Populationsbilanzsysteme zur dynamischen Simulation multivariater Feststoffprozesse am Beispiel der formselektiven Kristallisation"
Article
01/01/2016Hierarchical preconditioners for high-order FEM
Sabine Le Borne

Source:
Lecture Notes in Computational Science and Engineering (104): 559-566 (2016-01-01)

Part of Series:
Lecture notes in computational science and engineering
inProceedings
2015Symbol: Arrow up
Issue DatePublicationDocument Type
12/29/2015H-FAINV: hierarchically factored approximate inverse preconditioners
Ronald Kriemann, Sabine Le Borne

Source:
Computing and Visualization in Science 3 (17): 135-150 (2015-06-01)

Journal:
Computing and visualization in science
Article
03/04/2015Fast evaluation of univariate aggregation integrals on equidistant grids
Sabine Le Borne, Lusine Shahmuradyan, Kai Sundmacher

Source:
Computers and Chemical Engineering (74): 115-127 (2015-03-04)

Journal:
Computers & chemical engineering

Project:
  • SPP 1679: Dynamische Simulation vernetzter Feststoffprozesse
  • SPP 1679: Teilprojekt "Numerische L√∂sungsverfahren f√ľr gekoppelte Populationsbilanzsysteme zur dynamischen Simulation multivariater Feststoffprozesse am Beispiel der formselektiven Kristallisation"
Article
03/01/2015Preconditioning sparse grad-div/augmented Lagrangian stabilized saddle point systems
Sabine Le Borne, Leo G. Rebholz

Source:
Computing and Visualization in Science 6 (16): 259-269 (2015)

Journal:
Computing and visualization in science
Article
2014Symbol: Arrow up
Issue DatePublicationDocument Type
06/15/2014Error analysis and iterative solvers for Navier‚ÄďStokes projection methods with standard and sparse grad-div stabilization
Abigail L. Bowers, Sabine Le Borne, Leo G. Rebholz

Source:
Computer Methods in Applied Mechanics and Engineering (275): 1-19 (2014)

Journal:
Computer methods in applied mechanics and engineering
Article
2012Symbol: Arrow up
Issue DatePublicationDocument Type
12/05/2012Efficient linear solvers for incompressible flow simulations using Scott-Vogelius finite elements
Benjamin R. Cousins, Sabine Le Borne, Alexander Linke, Leo G. Rebholz, Zhen Wang

Source:
Numerical Methods for Partial Differential Equations 4 (29): 1217-1237 (2013)

Journal:
Numerical methods for partial differential equations
Article
05/08/2012Rapid error reduction for block Gauss-Seidel based on p-hierarchical basis
Sabine Le Borne, Jeffrey S. Ovall

Source:
Numerical Linear Algebra with Applications 5 (20): 743-760 (2013)

Journal:
Numerical linear algebra with applications
Article
2010Symbol: Arrow up
Issue DatePublicationDocument Type
12/23/2010An algebraic approach to the HBMG method for unstructured grids
Randolph E. Bank, Sabine Gutsch

Source:
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift f√ľr Angewandte Mathematik und Mechanik 78 (S3): 863-864 (1998)

Journal:
ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik
Article
12/09/2010‚Ąč-LU factorization in preconditioners for augmented Lagrangian and grad-div stabilized saddle point systems
Steffen Börm, Sabine Le Borne

Source:
International Journal for Numerical Methods in Fluids 1 (68): 83-98 (2010)

Journal:
International journal for numerical methods in fluids
Article
12/01/2010An implicit approximate inverse preconditioner for saddle point problems
Sabine Le Borne, Che Ngufor

Source:
Electronic Transactions on Numerical Analysis 37 (): 173-188 (2010-12-01)

Journal:
Electronic transactions on numerical analysis
Article
2009Symbol: Arrow up
Issue DatePublicationDocument Type
06/12/2009Preconditioned nullspace method for the Two-Dimensional Oseen problem
Sabine Le Borne

Source:
SIAM Journal on Scientific Computing 31 (4): 2494-2509 (2009-08-10)

Journal:
SIAM journal on scientific computing
Article
03/03/2009Domain decomposition based H-LU preconditioning
Lars Grasedyck, Ronald Kriemann, Sabine Le Borne

Source:
Numerische Mathematik 112 (4): 565-600 (2009-06-01)

Journal:
Numerische Mathematik
Article
2008Symbol: Arrow up
Issue DatePublicationDocument Type
04/28/2008‚Ąč-matrix preconditioners for symmetric saddle-point systems from meshfree discretization
Sabine Le Borne, Suely Oliveira, Fang Yang

Source:
Numerical Linear Algebra with Applications 15 (10): 911-924 (2008-12-01)

Journal:
Numerical linear algebra with applications
Article
04/01/2008Parallel black box ‚Ąč-LU preconditioning for elliptic boundary value problems
Lars Grasedyck, Ronald Kriemann, Sabine Le Borne

Source:
Computing and Visualization in Science 11 (4-6): 273-291 (2008-09-01)

Journal:
Computing and visualization in science
Article
01/25/2008Block computation and representation of a sparse nullspace basis of a rectangular matrix
Sabine Le Borne

Source:
Linear Algebra and Its Applications 428 (11-12): 2455-2467 (2008-06-01)

Journal:
Linear algebra and its applications
Article
2007Symbol: Arrow up
Issue DatePublicationDocument Type
12/01/2007Joint domain-decomposition H-LU preconditioners for saddle point problems
Sabine Le Borne, Suely Oliveira

Source:
Electronic Transactions on Numerical Analysis 26 (): 285-298 (2007-12-01)

Journal:
Electronic transactions on numerical analysis
Article
11/16/2007Construction of a discrete divergence-free basis through orthogonal factorization in ‚Ąč-arithmetic
Sabine Le Borne, D. Cook

Source:
Computing (Vienna/New York) 81 (4): 215-238 (2007-12-01)

Journal:
Computing
Article
02/06/2007Hierarchical matrix preconditioners for the Oseen equations
Sabine Le Borne

Source:
Computing and Visualization in Science 11 (3): 147-157 (2008-05-01)

Journal:
Computing and visualization in science
Article
01/01/2007Domain-decomposition Based H-LU Preconditioners
Sabine Le Borne, Lars Grasedyck, Ronald Kriemann

Source:
Lecture Notes in Computational Science and Engineering 55 (): 668-674 (2007-01-01)

Journal:
Lecture notes in computational science and engineering
Article
01/01/2007The nullspace method for the three-dimensional Stokes problem
Sabine Le Borne, Ronald Kriemann

Source:
Proceedings in applied mathematics and mechanics 7 (1): 1101101-1101102 (2007)

Journal:
Proceedings in applied mathematics and mechanics

Conference:
GAMM Annual Meeting (2007)
inProceedings
2006Symbol: Arrow up
Issue DatePublicationDocument Type
10/30/2006Multilevel hierarchical matrices
Sabine Le Borne

Source:
SIAM Journal on Matrix Analysis and Applications 28 (3): 871-889 (2006)

Journal:
SIAM journal on matrix analysis and applications
Article
07/31/2006‚Ąč-Matrix preconditioners in convection-dominated problems
Sabine Le Borne, Lars Grasedyck

Source:
SIAM Journal on Matrix Analysis and Applications 27 (4): 1172-1183 (2006-10-25)

Journal:
SIAM journal on matrix analysis and applications
inProceedings
01/01/2006Block and joint ‚Ąč-matrix preconditioners for the Oseen equations
Sabine Le Borne

Source:
Proceedings in applied mathematics and mechanics 6 (1): 747-748 (2006)

Journal:
Proceedings in applied mathematics and mechanics

Conference:
GAMM Annual Meeting (2006)
inProceedings
2005Symbol: Arrow up
Issue DatePublicationDocument Type
01/01/2005Hierarchical matrices for convection-dominated problems
Sabine Le Borne

Source:
Domain decomposition methods in science and engineering / R. Kornhuber ..., ed. - Berlin, 2005. - (Lecture Notes in Computational Science and Engineering ; vol. 40): Pp. 631-638 (2005)

Part of Series:
Lecture notes in computational science and engineering
inBook
2004Symbol: Arrow up
Issue DatePublicationDocument Type
05/21/2004Adaptive geometrically balanced clustering of ‚Ąč-matrices
Lars Grasedyck, Wolfgang Hackbusch, Sabine Le Borne

Source:
Computing (Vienna/New York) 73 (1): 1-23 (2004-01-01)

Journal:
Computing
Article
2003Symbol: Arrow up
Issue DatePublicationDocument Type
06/01/2003H-matrices for convection-diffusion problems with constant convection
Sabine Le Borne

Source:
Computing 70 (3): 261-274 (2003-01-01)

Journal:
Computing
Article
03/19/2003‚Ąč-matrices for the convection-diffusion equation
Sabine Le Borne

Source:
PAMM 2 (1): 21-24 (2003)

Journal:
Proceedings in applied mathematics and mechanics
Article
01/01/2003Modified ‚Ąč-matrices for convection dominated problems
Sabine Le Borne

Source:
Proceedings in applied mathematics and mechanics 3 (1): 537-538 (2003)

Journal:
Proceedings in applied mathematics and mechanics
Article
2001Symbol: Arrow up
Issue DatePublicationDocument Type
01/01/2001CD‚āāD‚āÉD : a package to solve convection dominated problems employing ordering techniques
Wolfgang Hackbusch, Ronald Kriemann, Sabine Le Borne, Jean-François Maitre

Source:
Numerical flow simulation II : CNRS-DFG collaborative research programme, results 1998-2000 / E. H. Hirschel ed. - Berlin, 2001. - (Notes on Numerical Fluid Mechanics (NNFM) ; 75). - Seite 34-48

Part of Series:
Notes on numerical fluid mechanics and multidisciplinary design
inProceedings
2000Symbol: Arrow up
Issue DatePublicationDocument Type
01/01/2000Ordering Techniques for Two- And Three-Dimensional Convection-Dominated Elliptic Boundary Value Problems
Sabine Le Borne

Source:
Computing (Vienna/New York) 64 (2): 123-155 (2000)

Journal:
Computing
Article
1999Symbol: Arrow up
Issue DatePublicationDocument Type
01/01/1999Multigrid methods for convection-dominated problems
Sabine Le Borne

Part of Series:
Dissertation.de
Doctoral Thesis
01/01/1999Ordering techniques for convection dominated problems on unstructured three-dimensional grids
Sabine Le Borne

Conference:
11th International Symposium on Domain Decomposition Methods for Partial Differential Equations
inProceedings
1998Symbol: Arrow up
Issue DatePublicationDocument Type
01/01/1998Cyclic and feedback vertex set ordering for convection-dominated problems
Sabine Gutsch

Journal:
ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik
book
01/01/1998Hierarchical basis for the convection-diffusion equation on unstructured meshes
Sabine Le Borne, Randolph E. Bank

Conference:
Ninth International Symposium on Domain Decomposition Methods for Partial Differential Equations
Article
01/01/1998The appropriate numbering for the multigrid solution of convection dominated problems
Wolfgang Hackbusch, Sabine Gutsch, Jean-François Maitre, François Musy

Source:
Numerical Flow Simulation I : CNRS-DFG Collaborative Research Programme, Results 1996-1998 / edited by Ernst Heinrich Hirschel. - Berlin : Springer, 1998. - ISBN 978-3-540-44437-4 (Notes on Numerical Fluid Mechanics (NNFM) ; 66). - Pp. 75-88
inBook
01/01/1998The generalized hierarchical basis two-level method for the convection-diffusion equation on a regular grid
Randolph E. Bank, Sabine Gutsch

Source:
Multigrid methods V : Proceedings of the Fifth European Multigrid Conference held in Stuttgart, Germany, October 1‚Äď4, 1996. - Berlin, 1998. - (Lecture notes in computational science and engineering ; vol. 3). - Pp. 1-20

Part of Series:
Lecture notes in computational science and engineering

Conference:
Fifth European Multigrid Conference 1996
inProceedings