## Turek, Stefan

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 Author ID: turek.stefan Published as: Turek, Stefan; Turek, S. Homepage: http://www.mathematik.tu-dortmund.de/lsiii/cms/de/mitarbeiter/member/id=Stefan+T... External Links: MGP
 Documents Indexed: 129 Publications since 1992, including 2 Books 4 Contributions as Editor Co-Authors: 104 Co-Authors with 119 Joint Publications 1,910 Co-Co-Authors
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### Co-Authors

 10 single-authored 24 Kuzmin, Dmitri 22 Hron, Jaroslav 20 Ouazzi, Abderrahim 12 Sokolov, Andrii 9 Rannacher, Rolf 7 Damanik, Hogenrich 7 Möller, Matthias 7 Schieweck, Friedhelm 6 Hussain, Shafqat 6 Köster, Michael 6 Mierka, Otto 6 Razzaq, Mudassar 6 Wan, Decheng 6 Zajac, Peter 5 Becker, Christian 4 Grajewski, Matthias 4 Gurris, Marcel 4 Strehl, Robert 3 Geveler, Markus 3 Hysing, Shuren 3 Ribbrock, Dirk 3 Rivkind, Liudmila S. 3 Safi, Mohammad Amin 3 Schäfer, Michael 2 Acker, Jens F. 2 Buijssen, Sven H. M. 2 Davydov, Oleg V. 2 Dünnebacke, Jonas 2 Galdi, Giovanni Paolo 2 Göddeke, Dominik 2 Hinze, Michael 2 Hosseini, Babak Sayyid 2 Kilian, Susanne 2 Löhner, Rainald 2 Nickaeen, Masoud 2 Olshanskii, Maxim A. 2 Platte, Frank 2 Runge, A. 2 Schmachtel, R. 2 Wobker, H. 1 Agar, D. W. 1 Ali, Ramzan 1 Bäumler, Kathrin 1 Berkels, Benjamin 1 Boris, Jay P. 1 Bredies, Kristian 1 Burman, Erik 1 Christof, Constantin 1 Diallo, Mamadou S. 1 Droske, Marc 1 Durst, Franz 1 Finn, Robert Samuel 1 Fredebeul, Christoph 1 Ganesan, Sashikumaar 1 Garbe, Christoph S. 1 Geller, Sebastian 1 Glowinski, Roland 1 Grunwald, I. Q. 1 Henning, Lars 1 Heywood, John G. 1 Holschneider, Matthias 1 Horstmann, Dirk 1 Kashid, M. N. 1 Kipouros, Timoleon 1 Kondermann, Claudia 1 Kopecz, Stefan 1 Krafczyk, Manfred 1 Kulesh, Michail 1 Lohmann, Christoph 1 Maass, Peter 1 Mádlík, Martin 1 Málek, Josef 1 Mandal, Saptarshi 1 Mehrmann, Volker 1 Meister, Andreas 1 Meyer, Christian 1 Müller, Steffen 1 Münster, R. 1 Olischläger, Nadine 1 Olshanskij, Maxim A. 1 Oswald, Hubertus 1 Palmes, Christian 1 Parolini, Nicola 1 Peitgen, Heinz-Otto 1 Prasianakis, Nikolaos I. 1 Preusser, Tobias 1 Prohl, Andreas 1 Robertson, Anne M. 1 Romeike, B. F. 1 Ruda, Dustin 1 Ruelmann, Hannes 1 Rumpf, Martin 1 Savill, Mark A. 1 Schaller, Karl 1 Scherbaum, Frank 1 Schweizer, Ben 1 Shcherbinina, Elena 1 Strzodka, Robert 1 Tobiska, Lutz 1 Tölke, Jonas ...and 6 more Co-Authors
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### Serials

 14 International Journal for Numerical Methods in Fluids 7 Journal of Computational and Applied Mathematics 6 Journal of Computational Physics 6 Journal of Numerical Mathematics 5 Applied Numerical Mathematics 4 Computers and Fluids 4 Computers & Mathematics with Applications 3 Computer Methods in Applied Mechanics and Engineering 3 Computing 2 Computational Methods in Applied Mathematics 2 PAMM. Proceedings in Applied Mathematics and Mechanics 2 Scientific Computation 1 Applied Mathematics and Computation 1 Numerical Methods for Partial Differential Equations 1 Journal of Scientific Computing 1 IMPACT of Computing in Science and Engineering 1 Journal of Non-Newtonian Fluid Mechanics 1 SIAM Journal on Scientific Computing 1 Communications in Numerical Methods in Engineering 1 Numerical Linear Algebra with Applications 1 East-West Journal of Numerical Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Computing and Visualization in Science 1 Journal of Mathematical Fluid Mechanics 1 CMES. Computer Modeling in Engineering & Sciences 1 Discrete and Continuous Dynamical Systems. Series B 1 Oberwolfach Reports 1 International Journal of Parallel, Emergent and Distributed Systems 1 Lecture Notes in Computational Science and Engineering 1 Oberwolfach Seminars 1 International Journal of Computing Science and Mathematics 1 The Open Numerical Methods Journal 1 International Journal of Numerical Analysis and Modeling. Series B
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### Fields

 105 Fluid mechanics (76-XX) 66 Numerical analysis (65-XX) 22 Partial differential equations (35-XX) 13 Mechanics of deformable solids (74-XX) 12 Biology and other natural sciences (92-XX) 5 General and overarching topics; collections (00-XX) 5 Classical thermodynamics, heat transfer (80-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Astronomy and astrophysics (85-XX) 3 Operations research, mathematical programming (90-XX) 2 Integral equations (45-XX) 2 Computer science (68-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

108 Publications have been cited 1,959 times in 1,481 Documents Cited by Year
Simple nonconforming quadrilateral Stokes element. Zbl 0742.76051
Rannacher, R.; Turek, S.
1992
Artificial boundaries and flux and pressure conditions for the incompressible Navier-Stokes equations. Zbl 0863.76016
Heywood, John G.; Rannacher, Rolf; Turek, Stefan
1996
Benchmark computations of laminar flow around a cylinder. (With support by F. Durst, E. Krause and R. Rannacher). Zbl 0874.76070
Schäfer, M.; Turek, S.
1996
Quantitative benchmark computations of two-dimensional bubble dynamics. Zbl 1273.76276
Hysing, S.; Turek, S.; Kuzmin, D.; Parolini, N.; Burman, E.; Ganesan, S.; Tobiska, L.
2009
Efficient solvers for incompressible flow problems. An algorithmic and computational approach. Zbl 0930.76002
Turek, Stefan
1999
Proposal for numerical benchmarking of fluid-structure interaction between an elastic object and laminar incompressible flow. Zbl 1323.76049
Turek, Stefan; Hron, Jaroslav
2006
A monolithic FEM/multigrid solver for an ALE formulation of fluid-structure interaction with applications in biomechanics. Zbl 1323.74086
Hron, Jaroslav; Turek, Stefan
2006
Flux correction tools for finite elements. Zbl 1028.76023
Kuzmin, D.; Turek, S.
2002
Benchmark computations based on lattice-Boltzmann, finite element and finite volume methods for laminar flows. Zbl 1177.76313
Geller, Sebastian; Krafczyk, Manfred; Tölke, Jonas; Turek, Stefan; Hron, Jaroslav
2006
A comparative study of time-stepping techniques for the incompressible Navier-Stokes equations: From fully implicit nonlinear schemes to semi-implicit projection methods. Zbl 0864.76052
Turek, Stefan
1996
Direct numerical simulation of particulate flow via multigrid FEM techniques and the fictitious boundary method. Zbl 1145.76406
Wan, Decheng; Turek, Stefan
2006
High-resolution FEM-TVD schemes based on a fully multidimensional flux limiter. Zbl 1107.76352
Kuzmin, D.; Turek, S.
2004
A positivity-preserving finite element method for chemotaxis problems in 3D. Zbl 1316.92015
Strehl, Robert; Sokolov, Andriy; Kuzmin, Dmitri; Horstmann, Dirk; Turek, Stefan
2013
A flux-corrected finite element method for chemotaxis problems. Zbl 1283.35007
Strehl, R.; Sokolov, A.; Kuzmin, D.; Turek, S.
2010
High-resolution FEM–FCT schemes for multidimensional conservation laws. Zbl 1112.76393
Kuzmin, D.; Möller, M.; Turek, S.
2004
Hemodynamical flows. Modeling, analysis and simulation. Papers based on the presentations at the Oberwolfach seminar ‘Hemodynamical flows: Aspects of modeling, analysis and simulation’, Oberwolfach, Germany, November 20–26, 2005. Zbl 1137.76005
2008
Numerical benchmarking of fluid-structure interaction: a comparison of different discretization and solution approaches. Zbl 1215.76061
Turek, S.; Hron, J.; Razzaq, M.; Wobker, H.; Schäfer, M.
2010
Fictitious boundary and moving mesh methods for the numerical simulation of rigid particulate flows. Zbl 1216.76036
Wan, Decheng; Turek, Stefan
2007
On discrete projection methods for the incompressible Navier-Stokes equations: An algorithmical approach. Zbl 0898.76069
Turek, Stefan
1997
The eikonal equation: numerical efficiency vs. algorithmic complexity on quadrilateral grids. Zbl 1180.65108
Hysing, Shu-Ren; Turek, Stefan
2005
Higher order Galerkin time discretizations and fast multigrid solvers for the heat equation. Zbl 1218.65107
Hussain, S.; Schieweck, F.; Turek, S.
2011
Numerical simulation and benchmarking of a monolithic multigrid solver for fluid-structure interaction problems with application to hemodynamics. Zbl 1210.76118
Turek, S.; Hron, J.; Mádlík, M.; Razzaq, M.; Wobker, H.
2010
Unified edge-oriented stabilization of nonconforming FEM for incompressible flow problems: numerical investigations. Zbl 1219.76030
Turek, S.; Ouazzi, A.
2007
An efficient multigrid-FEM method for the simulation of solid-liquid two-phase flows. Zbl 1110.76032
Wan, Decheng; Turek, Stefan
2007
Performance and accuracy of hardware-oriented native-, emulated- and mixed-precision solvers in FEM simulations. Zbl 1188.68084
Göddeke, Dominik; Strzodka, Robert; Turek, Stefan
2007
Isogeometric analysis of the Navier-Stokes-Cahn-Hilliard equations with application to incompressible two-phase flows. Zbl 1380.76039
Hosseini, Babak S.; Turek, Stefan; Möller, Matthias; Palmes, Christian
2017
A note on accurate and efficient higher order Galerkin time stepping schemes for the nonstationary Stokes equations. Zbl 1322.76042
Hussain, S.; Schieweck, F.; Turek, S.
2012
Towards a complete FEM-based simulation toolkit on GPUs: unstructured grid finite element geometric multigrid solvers with strong smoothers based on sparse approximate inverses. Zbl 1284.76249
Geveler, M.; Ribbrock, D.; Göddeke, D.; Zajac, P.; Turek, S.
2013
Efficient, accurate and flexible finite element solvers for chemotaxis problems. Zbl 1252.92014
Strehl, Robert; Sokolov, Andriy; Turek, Stefan
2012
Tools for simulating non-stationary incompressible flow via discretely divergence-free finite element models. Zbl 0794.76051
Turek, Stefan
1994
Numerical study of a modified time-stepping $$\theta$$-scheme for incompressible flow simulations. Zbl 1158.76385
Turek, Stefan; Rivkind, Ludmila; Hron, Jaroslav; Glowinski, Roland
2006
A monolithic FEM approach for the log-conformation reformulation (LCR) of viscoelastic flow problems. Zbl 1274.76100
Damanik, H.; Hron, J.; Ouazzi, A.; Turek, S.
2010
Multidimensional FEM-FCT schemes for arbitrary time stepping. Zbl 1055.76029
Kuzmin, D.; Möller, M.; Turek, S.
2003
Flux-corrected transport. Principles, algorithms, and applications. Papers based on the workshop ‘High-resolution schemes for convection-dominated flows: 30 years of FCT’, Dortmund, Germany, September 2003. With a foreword by Jay P. Boris. 2nd revised and extended ed. Zbl 1287.76031
2012
A monolithic FEM-multigrid solver for non-isothermal incompressible flow on general meshes. Zbl 1273.76270
Damanik, H.; Hron, J.; Ouazzi, A.; Turek, S.
2009
Flux-corrected transport. Principles, algorithms, and applications. Papers based on the workshop ’High-resolution schemes for convection-dominated flows: 30 years of FCT’. With foreword by Jay P. Boris. Zbl 1062.76003
2005
Newton multigrid least-squares FEM for the V-V-P formulation of the Navier-Stokes equations. Zbl 1349.76246
Nickaeen, M.; Ouazzi, A.; Turek, S.
2014
Mathematical and numerical analysis of a robust and efficient grid deformation method in the finite element context. Zbl 1211.65160
Grajewski, Matthias; Köster, Michael; Turek, Stefan
2009
An AFC-stabilized implicit finite element method for partial differential equations on evolving-in-time surfaces. Zbl 1317.65210
Sokolov, Andriy; Ali, Ramzan; Turek, Stefan
2015
A numerical investigation of flows of shear-thinning fluids with applications to blood rheology. Zbl 0974.76046
Hron, J.; Málek, J.; Turek, S.
2000
Isogeometric analysis of the Navier-Stokes equations with Taylor-Hood B-spline elements. Zbl 1410.76043
Hosseini, Babak S.; Möller, Matthias; Turek, Stefan
2015
GPGPU-based rising bubble simulations using a MRT lattice Boltzmann method coupled with level set interface capturing. Zbl 1390.76761
2016
Finite element simulation of compressible particle-laden gas flows. Zbl 1252.76041
Gurris, Marcel; Kuzmin, Dmitri; Turek, Stefan
2010
Higher order Galerkin time discretization for nonstationary incompressible flow. Zbl 1273.76275
Hussain, S.; Schieweck, F.; Turek, S.
2013
A generalized mean intensity approach for the numerical solution of the radiative transfer equation. Zbl 0822.65129
Turek, S.
1995
Numerical simulation of chemotaxis models on stationary surfaces. Zbl 1275.92007
Sokolov, Andriy; Strehl, Robert; Turek, Stefan
2013
FEM multigrid techniques for fluid-structure interaction with application to hemodynamics. Zbl 1426.76296
Razzaq, M.; Damanik, H.; Hron, J.; Ouazzi, A.; Turek, S.
2012
An efficient multigrid FEM solution technique for incompressible flow with moving rigid bodies. Zbl 1216.76037
Wan, Decheng; Turek, Stefan; Rivkind, Liudmila S.
2004
Implicit time-discretization of the nonstationary incompressible Navier-Stokes equations. Zbl 0882.76056
Müller, S.; Prohl, A.; Rannacher, R.; Turek, S.
1995
Multigrid methods for stabilized nonconforming finite elements for incompressible flow involving the deformation tensor formulation. Zbl 1099.76520
Turek, S.; Ouazzi, A.; Schmachtel, R.
2002
Dual weighted a posteriori error estimation for a new nonconforming linear finite element on quadrilaterals. Zbl 1074.65123
Grajewski, Matthias; Hron, Jaroslav; Turek, Stefan
2005
On the implementation of the $$\kappa -\varepsilon$$ turbulence model in incompressible flow solvers based on a finite element discretisation. Zbl 1185.76706
Kuzmin, D.; Mierka, O.; Turek, S.
2007
A space-time multigrid method for optimal flow control. Zbl 1356.49046
Hinze, Michael; Köster, Michael; Turek, Stefan
2012
Numerical analysis and implementational aspects of a new multilevel grid deformation method. Zbl 1191.65160
Grajewski, Matthias; Köster, Michael; Turek, Stefan
2010
The fictitious boundary method for the implicit treatment of Dirichlet boundary conditions with applications to incompressible flow simulations. Zbl 1138.76388
Turek, Stefan; Wan, Decheng; Rivkind, Liudmila S.
2003
The influence of higher order FEM discretisations on multigrid convergence. Zbl 1095.65111
Köster, M.; Turek, S.
2006
Multigrid techniques for a divergence-free finite element discretization. Zbl 0849.65092
Turek, S.
1994
An efficient solution technique for the radiative transfer equation. Zbl 0786.65125
Turek, Stefan
1993
Efficient Newton-multigrid solution techniques for higher order space-time Galerkin discretizations of incompressible flow. Zbl 1290.76065
Hussain, S.; Schieweck, F.; Turek, S.
2014
Numerical analysis for a new non-conforming linear finite element on quadrilaterals. Zbl 1094.65117
Grajewski, Matthias; Hron, Jaroslav; Turek, Stefan
2006
Numerical study of a high order 3D FEM-level set approach for immiscible flow simulation. Zbl 1311.76073
Turek, Stefan; Mierka, Otto; Hysing, Shuren; Kuzmin, Dmitri
2013
The FEAST indices – realistic evaluation of modern software components and processor technologies. Zbl 0989.65051
Turek, S.; Becker, Ch.; Runge, A.
2001
Fully coupled and operator-splitting approaches for natural convection flows in enclosures. Zbl 1047.76535
Turek, S.; Schmachtel, R.
2002
Error analysis of a projection method for the Navier-Stokes equations with Coriolis force. Zbl 1270.76055
Olshanskij, Maxim A.; Sokolov, Andriy; Turek, Stefan
2010
On pressure separation algorithms (PSepA) for improving the accuracy of incompressible flow simulations. Zbl 1192.76027
Turek, S.; Ouazzi, A.; Hron, J.
2009
Implicit finite element schemes for the stationary compressible Euler equations. Zbl 1426.76265
Gurris, Marcel; Kuzmin, Dmitri; Turek, Stefan
2012
New robust nonconforming finite elements of higher order. Zbl 1238.65112
Köster, M.; Ouazzi, A.; Schieweck, F.; Turek, S.; Zajac, P.
2012
A computational comparison of two FEM solvers for nonlinear incompressible flow. Zbl 1138.76384
Hron, Jaroslav; Ouazzi, Abderrahim; Turek, Stefan
2003
On ordering strategies in a multigrid algorithm. Zbl 0787.76047
Turek, Stefan
1993
A flux-corrected RBF-FD method for convection dominated problems in domains and on manifolds. Zbl 1447.65030
Sokolov, Andriy; Davydov, Oleg; Kuzmin, Dmitri; Westermann, Alexander; Turek, Stefan
2019
Evaluation of a CFD benchmark for laminar flows. Zbl 1075.76641
Schäfer, M.; Rannacher, R.; Turek, S.
1998
Novel simulation approaches for cyclic steady-state fixed-bed processes exhibiting sharp fronts and shocks. Zbl 1329.76370
Platte, Frank; Kuzmin, Dmitri; Fredebeul, Christoph; Turek, Stefan
2005
Finite element methods for the simulation of incompressible powder flow. Zbl 1329.76185
Ouazzi, A.; Turek, S.; Hron, J.
2005
An efficient and stable finite element solver of higher order in space and time for nonstationary incompressible flow. Zbl 1455.76085
Hussain, S.; Schieweck, F.; Turek, S.
2013
Modified Newton solver for yield stress fluids. Zbl 1387.76058
Mandal, Saptarshi; Ouazzi, Abderrahim; Turek, Stefan
2016
Numerical simulation of laminar incompressible fluid-structure interaction for elastic material with point constraints. Zbl 1374.74035
Razzaq, Mudassar; Hron, Jaroslav; Turek, Stefan
2010
Benchmark computations for 3D two-phase flows: a coupled lattice Boltzmann-level set study. Zbl 1368.76056
Safi, Mohammad Amin; Prasianakis, Nikolaos; Turek, Stefan
2017
Numerical techniques for multiphase flow with liquid-solid interaction. Zbl 1144.76068
Turek, Stefan; Hron, Jaroslav
2007
A discrete projection method for incompressible viscous flow with Coriolis force. Zbl 1194.76218
Sokolov, Andriy; Olshanskii, Maxim A.; Turek, Stefan
2008
Newton-multigrid least-squares FEM for S-V-P formulation of the Navier-Stokes equations. Zbl 1321.76039
Ouazzi, Abderrahim; Nickaeen, Masoud; Turek, Stefan; Waseem, Muhammad
2015
Space-time Newton-multigrid strategies for nonstationary distributed and boundary flow control problems. Zbl 1327.49044
Hinze, Michael; Köster, Michael; Turek, Stefan
2014
Computational modelling of slug flow in a capillary microreactor. Zbl 1113.76072
Kashid, M. N.; Platte, F.; Agar, D. W.; Turek, S.
2007
Finite element-fictitious boundary methods (FEM-FBM) for 3D particulate flow. Zbl 1245.76052
Münster, R.; Mierka, O.; Turek, S.
2012
A Newton-like finite element scheme for compressible gas flows. Zbl 1431.76013
Gurris, Marcel; Kuzmin, Dmitri; Turek, Stefan
2011
Explicit and implicit high-reolution finite element schemes based on the flux-corrected-transport algorithm. Zbl 1283.76034
Kuzmin, D.; Turek, S.
2003
CFD for incompressible flow: numerical efficiency versus gigaflops. Zbl 1091.76545
Turek, S.
2000
Numerical methods and simulation techniques for flow with shear and pressure dependent viscosity. Zbl 1216.76020
Ouazzi, Abderrahim; Turek, Stefan
2004
Numerical benchmarking for 3D multiphase flow: new results for a rising bubble. Zbl 1427.76149
Turek, Stefan; Mierka, Otto; Bäumler, Kathrin
2018
Numerical study of the RBF-FD level set based method for partial differential equations on evolving-in-time surfaces. Zbl 1434.65211
Sokolov, Andriy; Davydov, Oleg; Turek, Stefan
2019
Efficient computations for high density ratio rising bubble flows using a diffused interface, coupled lattice Boltzmann-level set scheme. Zbl 1443.76232
2015
An efficient finite element solver for the nonstationary incompressible Navier-Stokes equations in two and three dimensions. Zbl 0875.76276
Schreiber, Peter; Turek, Stefan
1994
Numerical simulation of a rising bubble in viscoelastic fluids. Zbl 1273.76271
Damanik, H.; Ouazzi, A.; Turek, S.
2013
Numerical study of a discrete projection method for rotating incompressible flows. Zbl 1175.35104
Sokolov, Andriy; Turek, Stefan; Olshanskii, Maxim A.
2008
The virtual album of fluid motion. An interactive exploration via numerical simulation. Zbl 1058.76002
Kilian, Susanne; Turek, Stefan
2002
An example for parallel ScaRC and its application to the incompressible Navier-Stokes equations. Zbl 1075.76635
Kilian, S.; Turek, S.
1998
Implicit finite element discretizations based on the flux-corrected transport algorithm. Zbl 1069.76034
Möller, Matthias; Kuzmin, D.; Turek, S.
2005
Finite element discretization and iterative solution techniques for multiphase flows in gas-liquid reactors. Zbl 1142.76412
Kuzmin, Dmitri; Turek, Stefan
2004
Implicit flux-corrected transport algorithm for finite element simulation of the compressible Euler equations. Zbl 1142.76414
Möller, Matthias; Kuzmin, Dmitri; Turek, Stefan
2004
Multigrid techniques for simple discretely divergence-free finite element spaces. Zbl 0809.76048
Turek, Stefan
1994
A time-simultaneous multigrid method for parabolic evolution equations. Zbl 1470.65161
Dünnebacke, J.; Turek, S.; Zajac, P.; Sokolov, A.
2021
A time-simultaneous multigrid method for parabolic evolution equations. Zbl 1470.65161
Dünnebacke, J.; Turek, S.; Zajac, P.; Sokolov, A.
2021
Numerical simulation and benchmarking of drops and bubbles. Zbl 1475.76062
Turek, Stefan; Mierka, Otto
2021
A flux-corrected RBF-FD method for convection dominated problems in domains and on manifolds. Zbl 1447.65030
Sokolov, Andriy; Davydov, Oleg; Kuzmin, Dmitri; Westermann, Alexander; Turek, Stefan
2019
Numerical study of the RBF-FD level set based method for partial differential equations on evolving-in-time surfaces. Zbl 1434.65211
Sokolov, Andriy; Davydov, Oleg; Turek, Stefan
2019
Numerical benchmarking for 3D multiphase flow: new results for a rising bubble. Zbl 1427.76149
Turek, Stefan; Mierka, Otto; Bäumler, Kathrin
2018
Isogeometric analysis of the Navier-Stokes-Cahn-Hilliard equations with application to incompressible two-phase flows. Zbl 1380.76039
Hosseini, Babak S.; Turek, Stefan; Möller, Matthias; Palmes, Christian
2017
Benchmark computations for 3D two-phase flows: a coupled lattice Boltzmann-level set study. Zbl 1368.76056
Safi, Mohammad Amin; Prasianakis, Nikolaos; Turek, Stefan
2017
GPGPU-based rising bubble simulations using a MRT lattice Boltzmann method coupled with level set interface capturing. Zbl 1390.76761
2016
Modified Newton solver for yield stress fluids. Zbl 1387.76058
Mandal, Saptarshi; Ouazzi, Abderrahim; Turek, Stefan
2016
An AFC-stabilized implicit finite element method for partial differential equations on evolving-in-time surfaces. Zbl 1317.65210
Sokolov, Andriy; Ali, Ramzan; Turek, Stefan
2015
Isogeometric analysis of the Navier-Stokes equations with Taylor-Hood B-spline elements. Zbl 1410.76043
Hosseini, Babak S.; Möller, Matthias; Turek, Stefan
2015
Newton-multigrid least-squares FEM for S-V-P formulation of the Navier-Stokes equations. Zbl 1321.76039
Ouazzi, Abderrahim; Nickaeen, Masoud; Turek, Stefan; Waseem, Muhammad
2015
Efficient computations for high density ratio rising bubble flows using a diffused interface, coupled lattice Boltzmann-level set scheme. Zbl 1443.76232
2015
Newton multigrid least-squares FEM for the V-V-P formulation of the Navier-Stokes equations. Zbl 1349.76246
Nickaeen, M.; Ouazzi, A.; Turek, S.
2014
Efficient Newton-multigrid solution techniques for higher order space-time Galerkin discretizations of incompressible flow. Zbl 1290.76065
Hussain, S.; Schieweck, F.; Turek, S.
2014
Space-time Newton-multigrid strategies for nonstationary distributed and boundary flow control problems. Zbl 1327.49044
Hinze, Michael; Köster, Michael; Turek, Stefan
2014
A positivity-preserving finite element method for chemotaxis problems in 3D. Zbl 1316.92015
Strehl, Robert; Sokolov, Andriy; Kuzmin, Dmitri; Horstmann, Dirk; Turek, Stefan
2013
Towards a complete FEM-based simulation toolkit on GPUs: unstructured grid finite element geometric multigrid solvers with strong smoothers based on sparse approximate inverses. Zbl 1284.76249
Geveler, M.; Ribbrock, D.; Göddeke, D.; Zajac, P.; Turek, S.
2013
Higher order Galerkin time discretization for nonstationary incompressible flow. Zbl 1273.76275
Hussain, S.; Schieweck, F.; Turek, S.
2013
Numerical simulation of chemotaxis models on stationary surfaces. Zbl 1275.92007
Sokolov, Andriy; Strehl, Robert; Turek, Stefan
2013
Numerical study of a high order 3D FEM-level set approach for immiscible flow simulation. Zbl 1311.76073
Turek, Stefan; Mierka, Otto; Hysing, Shuren; Kuzmin, Dmitri
2013
An efficient and stable finite element solver of higher order in space and time for nonstationary incompressible flow. Zbl 1455.76085
Hussain, S.; Schieweck, F.; Turek, S.
2013
Numerical simulation of a rising bubble in viscoelastic fluids. Zbl 1273.76271
Damanik, H.; Ouazzi, A.; Turek, S.
2013
Monolithic Newton-multigrid solution techniques for incompressible nonlinear flow models. Zbl 1430.76109
Damanik, H.; Hron, J.; Ouazzi, A.; Turek, S.
2013
Multi-objective optimization of a fluid structure interaction benchmarking. Zbl 1356.74062
Razzaq, M.; Tsotskas, C.; Turek, S.; Kipouros, T.; Savill, M.; Hron, J.
2013
A note on accurate and efficient higher order Galerkin time stepping schemes for the nonstationary Stokes equations. Zbl 1322.76042
Hussain, S.; Schieweck, F.; Turek, S.
2012
Efficient, accurate and flexible finite element solvers for chemotaxis problems. Zbl 1252.92014
Strehl, Robert; Sokolov, Andriy; Turek, Stefan
2012
Flux-corrected transport. Principles, algorithms, and applications. Papers based on the workshop ‘High-resolution schemes for convection-dominated flows: 30 years of FCT’, Dortmund, Germany, September 2003. With a foreword by Jay P. Boris. 2nd revised and extended ed. Zbl 1287.76031
2012
FEM multigrid techniques for fluid-structure interaction with application to hemodynamics. Zbl 1426.76296
Razzaq, M.; Damanik, H.; Hron, J.; Ouazzi, A.; Turek, S.
2012
A space-time multigrid method for optimal flow control. Zbl 1356.49046
Hinze, Michael; Köster, Michael; Turek, Stefan
2012
Implicit finite element schemes for the stationary compressible Euler equations. Zbl 1426.76265
Gurris, Marcel; Kuzmin, Dmitri; Turek, Stefan
2012
New robust nonconforming finite elements of higher order. Zbl 1238.65112
Köster, M.; Ouazzi, A.; Schieweck, F.; Turek, S.; Zajac, P.
2012
Finite element-fictitious boundary methods (FEM-FBM) for 3D particulate flow. Zbl 1245.76052
Münster, R.; Mierka, O.; Turek, S.
2012
Higher order Galerkin time discretizations and fast multigrid solvers for the heat equation. Zbl 1218.65107
Hussain, S.; Schieweck, F.; Turek, S.
2011
A Newton-like finite element scheme for compressible gas flows. Zbl 1431.76013
Gurris, Marcel; Kuzmin, Dmitri; Turek, Stefan
2011
Implicit finite element schemes for stationary compressible particle-laden gas flows. Zbl 1310.76093
Gurris, Marcel; Kuzmin, Dmitri; Turek, Stefan
2011
A flux-corrected finite element method for chemotaxis problems. Zbl 1283.35007
Strehl, R.; Sokolov, A.; Kuzmin, D.; Turek, S.
2010
Numerical benchmarking of fluid-structure interaction: a comparison of different discretization and solution approaches. Zbl 1215.76061
Turek, S.; Hron, J.; Razzaq, M.; Wobker, H.; Schäfer, M.
2010
Numerical simulation and benchmarking of a monolithic multigrid solver for fluid-structure interaction problems with application to hemodynamics. Zbl 1210.76118
Turek, S.; Hron, J.; Mádlík, M.; Razzaq, M.; Wobker, H.
2010
A monolithic FEM approach for the log-conformation reformulation (LCR) of viscoelastic flow problems. Zbl 1274.76100
Damanik, H.; Hron, J.; Ouazzi, A.; Turek, S.
2010
Finite element simulation of compressible particle-laden gas flows. Zbl 1252.76041
Gurris, Marcel; Kuzmin, Dmitri; Turek, Stefan
2010
Numerical analysis and implementational aspects of a new multilevel grid deformation method. Zbl 1191.65160
Grajewski, Matthias; Köster, Michael; Turek, Stefan
2010
Error analysis of a projection method for the Navier-Stokes equations with Coriolis force. Zbl 1270.76055
Olshanskij, Maxim A.; Sokolov, Andriy; Turek, Stefan
2010
Numerical simulation of laminar incompressible fluid-structure interaction for elastic material with point constraints. Zbl 1374.74035
Razzaq, Mudassar; Hron, Jaroslav; Turek, Stefan
2010
Efficient monolithic simulation techniques for the stationary lattice Boltzmann equation on general meshes. Zbl 1426.35010
Hübner, T.; Turek, S.
2010
Quantitative benchmark computations of two-dimensional bubble dynamics. Zbl 1273.76276
Hysing, S.; Turek, S.; Kuzmin, D.; Parolini, N.; Burman, E.; Ganesan, S.; Tobiska, L.
2009
A monolithic FEM-multigrid solver for non-isothermal incompressible flow on general meshes. Zbl 1273.76270
Damanik, H.; Hron, J.; Ouazzi, A.; Turek, S.
2009
Mathematical and numerical analysis of a robust and efficient grid deformation method in the finite element context. Zbl 1211.65160
Grajewski, Matthias; Köster, Michael; Turek, Stefan
2009
On pressure separation algorithms (PSepA) for improving the accuracy of incompressible flow simulations. Zbl 1192.76027
Turek, S.; Ouazzi, A.; Hron, J.
2009
Hemodynamical flows. Modeling, analysis and simulation. Papers based on the presentations at the Oberwolfach seminar ‘Hemodynamical flows: Aspects of modeling, analysis and simulation’, Oberwolfach, Germany, November 20–26, 2005. Zbl 1137.76005
2008
A discrete projection method for incompressible viscous flow with Coriolis force. Zbl 1194.76218
Sokolov, Andriy; Olshanskii, Maxim A.; Turek, Stefan
2008
Numerical study of a discrete projection method for rotating incompressible flows. Zbl 1175.35104
Sokolov, Andriy; Turek, Stefan; Olshanskii, Maxim A.
2008
Fictitious boundary and moving mesh methods for the numerical simulation of rigid particulate flows. Zbl 1216.76036
Wan, Decheng; Turek, Stefan
2007
Unified edge-oriented stabilization of nonconforming FEM for incompressible flow problems: numerical investigations. Zbl 1219.76030
Turek, S.; Ouazzi, A.
2007
An efficient multigrid-FEM method for the simulation of solid-liquid two-phase flows. Zbl 1110.76032
Wan, Decheng; Turek, Stefan
2007
Performance and accuracy of hardware-oriented native-, emulated- and mixed-precision solvers in FEM simulations. Zbl 1188.68084
Göddeke, Dominik; Strzodka, Robert; Turek, Stefan
2007
On the implementation of the $$\kappa -\varepsilon$$ turbulence model in incompressible flow solvers based on a finite element discretisation. Zbl 1185.76706
Kuzmin, D.; Mierka, O.; Turek, S.
2007
Numerical techniques for multiphase flow with liquid-solid interaction. Zbl 1144.76068
Turek, Stefan; Hron, Jaroslav
2007
Computational modelling of slug flow in a capillary microreactor. Zbl 1113.76072
Kashid, M. N.; Platte, F.; Agar, D. W.; Turek, S.
2007
An efficient and accurate short-characteristics solver for radiative transfer problems. Zbl 1133.85004
Hübner, T.; Turek, S.
2007
Proposal for numerical benchmarking of fluid-structure interaction between an elastic object and laminar incompressible flow. Zbl 1323.76049
Turek, Stefan; Hron, Jaroslav
2006
A monolithic FEM/multigrid solver for an ALE formulation of fluid-structure interaction with applications in biomechanics. Zbl 1323.74086
Hron, Jaroslav; Turek, Stefan
2006
Benchmark computations based on lattice-Boltzmann, finite element and finite volume methods for laminar flows. Zbl 1177.76313
Geller, Sebastian; Krafczyk, Manfred; Tölke, Jonas; Turek, Stefan; Hron, Jaroslav
2006
Direct numerical simulation of particulate flow via multigrid FEM techniques and the fictitious boundary method. Zbl 1145.76406
Wan, Decheng; Turek, Stefan
2006
Numerical study of a modified time-stepping $$\theta$$-scheme for incompressible flow simulations. Zbl 1158.76385
Turek, Stefan; Rivkind, Ludmila; Hron, Jaroslav; Glowinski, Roland
2006
The influence of higher order FEM discretisations on multigrid convergence. Zbl 1095.65111
Köster, M.; Turek, S.
2006
Numerical analysis for a new non-conforming linear finite element on quadrilaterals. Zbl 1094.65117
Grajewski, Matthias; Hron, Jaroslav; Turek, Stefan
2006
Efficient multigrid and data structures for edge-oriented FEM stabilization. Zbl 1117.76035
Ouazzi, Abderrahim; Turek, Stefan
2006
The eikonal equation: numerical efficiency vs. algorithmic complexity on quadrilateral grids. Zbl 1180.65108
Hysing, Shu-Ren; Turek, Stefan
2005
Flux-corrected transport. Principles, algorithms, and applications. Papers based on the workshop ’High-resolution schemes for convection-dominated flows: 30 years of FCT’. With foreword by Jay P. Boris. Zbl 1062.76003
2005
Dual weighted a posteriori error estimation for a new nonconforming linear finite element on quadrilaterals. Zbl 1074.65123
Grajewski, Matthias; Hron, Jaroslav; Turek, Stefan
2005
Novel simulation approaches for cyclic steady-state fixed-bed processes exhibiting sharp fronts and shocks. Zbl 1329.76370
Platte, Frank; Kuzmin, Dmitri; Fredebeul, Christoph; Turek, Stefan
2005
Finite element methods for the simulation of incompressible powder flow. Zbl 1329.76185
Ouazzi, A.; Turek, S.; Hron, J.
2005
Implicit finite element discretizations based on the flux-corrected transport algorithm. Zbl 1069.76034
Möller, Matthias; Kuzmin, D.; Turek, S.
2005
High-resolution FEM-TVD schemes based on a fully multidimensional flux limiter. Zbl 1107.76352
Kuzmin, D.; Turek, S.
2004
High-resolution FEM–FCT schemes for multidimensional conservation laws. Zbl 1112.76393
Kuzmin, D.; Möller, M.; Turek, S.
2004
An efficient multigrid FEM solution technique for incompressible flow with moving rigid bodies. Zbl 1216.76037
Wan, Decheng; Turek, Stefan; Rivkind, Liudmila S.
2004
Numerical methods and simulation techniques for flow with shear and pressure dependent viscosity. Zbl 1216.76020
Ouazzi, Abderrahim; Turek, Stefan
2004
Finite element discretization and iterative solution techniques for multiphase flows in gas-liquid reactors. Zbl 1142.76412
Kuzmin, Dmitri; Turek, Stefan
2004
Implicit flux-corrected transport algorithm for finite element simulation of the compressible Euler equations. Zbl 1142.76414
Möller, Matthias; Kuzmin, Dmitri; Turek, Stefan
2004
Multidimensional FEM-FCT schemes for arbitrary time stepping. Zbl 1055.76029
Kuzmin, D.; Möller, M.; Turek, S.
2003
The fictitious boundary method for the implicit treatment of Dirichlet boundary conditions with applications to incompressible flow simulations. Zbl 1138.76388
Turek, Stefan; Wan, Decheng; Rivkind, Liudmila S.
2003
A computational comparison of two FEM solvers for nonlinear incompressible flow. Zbl 1138.76384
Hron, Jaroslav; Ouazzi, Abderrahim; Turek, Stefan
2003
Explicit and implicit high-reolution finite element schemes based on the flux-corrected-transport algorithm. Zbl 1283.76034
Kuzmin, D.; Turek, S.
2003
Flux correction tools for finite elements. Zbl 1028.76023
Kuzmin, D.; Turek, S.
2002
Multigrid methods for stabilized nonconforming finite elements for incompressible flow involving the deformation tensor formulation. Zbl 1099.76520
Turek, S.; Ouazzi, A.; Schmachtel, R.
2002
Fully coupled and operator-splitting approaches for natural convection flows in enclosures. Zbl 1047.76535
Turek, S.; Schmachtel, R.
2002
The virtual album of fluid motion. An interactive exploration via numerical simulation. Zbl 1058.76002
Kilian, Susanne; Turek, Stefan
2002
Sources of parallel inefficiency for incompressible CFD simulations. Zbl 1068.65509
Buijssen, Sven H. M.; Turek, Stefan
2002
The FEAST indices – realistic evaluation of modern software components and processor technologies. Zbl 0989.65051
Turek, S.; Becker, Ch.; Runge, A.
2001
A numerical investigation of flows of shear-thinning fluids with applications to blood rheology. Zbl 0974.76046
Hron, J.; Málek, J.; Turek, S.
2000
CFD for incompressible flow: numerical efficiency versus gigaflops. Zbl 1091.76545
Turek, S.
2000
Efficient solvers for incompressible flow problems. An algorithmic and computational approach. Zbl 0930.76002
Turek, Stefan
1999
Evaluation of a CFD benchmark for laminar flows. Zbl 1075.76641
Schäfer, M.; Rannacher, R.; Turek, S.
1998
An example for parallel ScaRC and its application to the incompressible Navier-Stokes equations. Zbl 1075.76635
Kilian, S.; Turek, S.
1998
On discrete projection methods for the incompressible Navier-Stokes equations: An algorithmical approach. Zbl 0898.76069
Turek, Stefan
1997
Artificial boundaries and flux and pressure conditions for the incompressible Navier-Stokes equations. Zbl 0863.76016
Heywood, John G.; Rannacher, Rolf; Turek, Stefan
1996
Benchmark computations of laminar flow around a cylinder. (With support by F. Durst, E. Krause and R. Rannacher). Zbl 0874.76070
Schäfer, M.; Turek, S.
1996
A comparative study of time-stepping techniques for the incompressible Navier-Stokes equations: From fully implicit nonlinear schemes to semi-implicit projection methods. Zbl 0864.76052
Turek, Stefan
1996
A generalized mean intensity approach for the numerical solution of the radiative transfer equation. Zbl 0822.65129
Turek, S.
1995
...and 8 more Documents
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### Cited by 2,439 Authors

 56 Turek, Stefan 46 Shi, Dongyang 30 Kuzmin, Dmitri 23 John, Volker 22 Rebholz, Leo G. 21 Olshanskii, Maxim A. 17 Latché, Jean-Claude 15 Sheen, Dongwoo 15 Wick, Thomas 14 Hron, Jaroslav 14 Matthies, Gunar 13 Herbin, Raphaèle 13 Shi, Zhongci 12 Bause, Markus 12 Krafczyk, Manfred 12 Veneziani, Alessandro 10 Codina, Ramon 10 Pažanin, Igor 10 Shadid, John N. 9 Beneš, Michal 9 Feng, Xinlong 9 Glowinski, Roland 9 Hu, Jun 9 Jaiman, Rajeev Kumar 9 Kahle, Christian 9 Knobloch, Petr 9 Meng, Zhaoliang 8 Chen, Zhangxin 8 Ganesan, Sashikumaar 8 Garcke, Harald 8 Guessab, Allal 8 Koleva, Miglena Nikolaeva 8 Luo, Zhongxuan 8 Möller, Matthias 8 Oñate Ibáñez de Navarra, Eugenio 8 Ouazzi, Abderrahim 8 Schieweck, Friedhelm 8 Tobiska, Lutz 8 Vulkov, Lubin G. 7 Ahmed, Naveed 7 Heuveline, Vincent 7 Hinze, Michael 7 Idelsohn, Sergio Rodolfo 7 Layton, William J. 7 Liu, Gui-Rong 7 Mao, Shipeng 7 Margenov, Svetozar D. 7 Quarteroni, Alfio M. 7 Rannacher, Rolf 7 Sváček, Petr 7 van Zuijlen, Alexander H. 7 Vassilevski, Yuri V. 7 Vergara, Christian 7 Wall, Wolfgang A. 6 Badia, Santiago 6 Bänsch, Eberhard 6 Bijl, Hester 6 Blom, David S. 6 Chen, Jinru 6 Hachem, Elie 6 Horáček, Jaromir 6 Langer, Ulrich 6 Li, Kaitai 6 Neda, Monika 6 Rang, Joachim 6 Richter, Thomas 6 Rüde, Ulrich 6 Schulte, Miriam 6 Tölke, Jonas 5 Barrenechea, Gabriel R. 5 Basting, Steffen 5 Becker, Roland 5 Burman, Erik 5 Castillo, Ernesto 5 Dehghan Takht Fooladi, Mehdi 5 Failer, Lukas 5 Feistauer, Miloslav 5 Formaggia, Luca 5 Fries, Thomas-Peter 5 Fu, Guosheng 5 Guermond, Jean-Luc 5 He, Yinnian 5 Hulsen, Martien A. 5 Joshi, Vaibhav 5 Köcher, Uwe 5 Kraus, Johannes K. 5 Kwak, Do Young 5 Lozovskiy, Alexander V. 5 Mabuza, Sibusiso 5 Manica, Carolina Cardoso 5 Ming, Pingbing 5 Neustupa, Tomáš 5 Novo, Julia 5 Nürnberg, Robert 5 Pan, Tsorng-Whay 5 Rivière, Beatrice M. 5 Seaïd, Mohammed 5 Shashkov, Mikhail J. 5 Shu, Chang 5 Sokolov, Andrii ...and 2,339 more Authors
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### Cited in 170 Serials

 212 Journal of Computational Physics 161 Computer Methods in Applied Mechanics and Engineering 120 Computers and Fluids 76 Computers & Mathematics with Applications 59 Journal of Computational and Applied Mathematics 45 Applied Mathematics and Computation 45 Journal of Scientific Computing 36 International Journal for Numerical Methods in Fluids 31 Applied Numerical Mathematics 26 SIAM Journal on Scientific Computing 24 Mathematics of Computation 23 Computational Mechanics 20 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 17 Numerical Methods for Partial Differential Equations 16 Journal of Fluid Mechanics 15 Numerische Mathematik 15 Applied Mathematical Modelling 14 International Journal for Numerical Methods in Engineering 14 Communications in Computational Physics 13 SIAM Journal on Numerical Analysis 13 Engineering Analysis with Boundary Elements 11 Advances in Computational Mathematics 10 Computing 10 Applied Mathematics Letters 10 Computing and Visualization in Science 10 Journal of Mathematical Fluid Mechanics 10 Journal of Numerical Mathematics 9 Mathematics and Computers in Simulation 9 Applications of Mathematics 9 International Journal of Computational Fluid Dynamics 9 European Journal of Mechanics. B. Fluids 8 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 7 Acta Mathematicae Applicatae Sinica. English Series 7 International Journal of Computer Mathematics 7 Archives of Computational Methods in Engineering 7 International Journal of Computational Methods 6 Journal of Mathematical Analysis and Applications 6 Acta Applicandae Mathematicae 6 Computational and Applied Mathematics 6 International Journal of Numerical Methods for Heat & Fluid Flow 6 Mathematical Problems in Engineering 6 Science China. Mathematics 5 Computer Physics Communications 5 Mathematical Methods in the Applied Sciences 5 Chinese Annals of Mathematics. Series B 5 Numerical Algorithms 5 Numerical Linear Algebra with Applications 5 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 5 Advances in Applied Mathematics and Mechanics 4 Applicable Analysis 4 International Journal of Engineering Science 4 International Journal of Heat and Mass Transfer 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 BIT 4 Calcolo 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Mathematical and Computer Modelling 4 Japan Journal of Industrial and Applied Mathematics 4 Computational Optimization and Applications 4 Computational Methods in Applied Mathematics 4 Boundary Value Problems 4 S$$\vec{\text{e}}$$MA Journal 3 Fluid Dynamics 3 Physica A 3 Numerical Functional Analysis and Optimization 3 Journal of Non-Newtonian Fluid Mechanics 3 Communications in Numerical Methods in Engineering 3 Vietnam Journal of Mathematics 3 Computational Geosciences 3 Nonlinear Analysis. Real World Applications 3 Journal of Applied Mathematics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Discrete and Continuous Dynamical Systems. Series S 3 ISRN Applied Mathematics 3 AMM. Applied Mathematics and Mechanics. (English Edition) 3 SMAI Journal of Computational Mathematics 3 Electronic Research Archive 2 Acta Mechanica 2 Nonlinearity 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Journal of Differential Equations 2 Journal of Optimization Theory and Applications 2 Computer Aided Geometric Design 2 Physica D 2 Science in China. Series A 2 Journal of Mathematical Imaging and Vision 2 Continuum Mechanics and Thermodynamics 2 Calculus of Variations and Partial Differential Equations 2 ETNA. Electronic Transactions on Numerical Analysis 2 Abstract and Applied Analysis 2 Acta Mathematica Sinica. English Series 2 Communications in Nonlinear Science and Numerical Simulation 2 Optimization and Engineering 2 International Journal of Modern Physics C 2 Differential Equations 2 Journal of Evolution Equations 2 Multiscale Modeling & Simulation 2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 2 International Journal for Numerical Methods in Biomedical Engineering 2 Journal of Theoretical Biology ...and 70 more Serials
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### Cited in 37 Fields

 1,030 Fluid mechanics (76-XX) 871 Numerical analysis (65-XX) 396 Partial differential equations (35-XX) 284 Mechanics of deformable solids (74-XX) 117 Biology and other natural sciences (92-XX) 53 Calculus of variations and optimal control; optimization (49-XX) 29 Classical thermodynamics, heat transfer (80-XX) 23 Computer science (68-XX) 18 Statistical mechanics, structure of matter (82-XX) 15 Geophysics (86-XX) 11 Mechanics of particles and systems (70-XX) 8 Systems theory; control (93-XX) 6 Optics, electromagnetic theory (78-XX) 6 Operations research, mathematical programming (90-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Real functions (26-XX) 5 Integral equations (45-XX) 4 Ordinary differential equations (34-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Approximations and expansions (41-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Astronomy and astrophysics (85-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Special functions (33-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Statistics (62-XX) 1 Combinatorics (05-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX)