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Tobiska, Lutz

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Author ID: tobiska.lutz Recent zbMATH articles by "Tobiska, Lutz"
Published as: Tobiska, L.; Tobiska, Lutz
Documents Indexed: 139 Publications since 1978, including 10 Books
all top 5

Serials

7 Computer Methods in Applied Mechanics and Engineering
6 IMA Journal of Numerical Analysis
6 Computing
5 SIAM Journal on Numerical Analysis
5 PAMM. Proceedings in Applied Mathematics and Mechanics
4 East-West Journal of Numerical Mathematics
4 Communications in Nonlinear Science and Numerical Simulation
3 International Journal for Numerical Methods in Fluids
3 Mathematics of Computation
3 Numerische Mathematik
3 Applied Numerical Mathematics
3 Numerical Methods for Partial Differential Equations
3 Wissenschaftliche Zeitschrift der Technischen Universität Otto von Guericke Magdeburg
3 Mathematical Modelling and Analysis
3 Wissenschaftliche Zeitschrift der Technischen Hochschule Otto von Guericke
2 Journal of Computational Physics
2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
2 Applied Mathematics and Computation
2 Zeitschrift für Analysis und ihre Anwendungen
2 Journal of Computational Mathematics
2 Numerical Algorithms
2 Computational Methods in Applied Mathematics
2 International Journal of Numerical Analysis and Modeling
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Springer Series in Computational Mathematics
2 Beiträge zur Analysis
1 Computers & Mathematics with Applications
1 Fluid Dynamics
1 Journal of Fluid Mechanics
1 Commentationes Mathematicae Universitatis Carolinae
1 Journal of Computational and Applied Mathematics
1 Mathematische Nachrichten
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 CWI Quarterly
1 Journal of Scientific Computing
1 Wissenschaftliche Zeitschrift der Technischen Hochschule Carl Schorlemmer Leuna-Merseburg
1 ETNA. Electronic Transactions on Numerical Analysis
1 Advances in Computational Mathematics
1 Siberian Journal of Computer Mathematics
1 Computing and Visualization in Science
1 International Journal of Computational Fluid Dynamics
1 Abstract and Applied Analysis
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Multiscale Modeling & Simulation
1 Oberwolfach Reports
1 GAMM-Mitteilungen
1 Seminarbericht, Humboldt-Universität zu Berlin, Sektion Mathematik
1 International Journal of Computing Science and Mathematics
1 Cambridge-IISc Series

Publications by Year

Citations contained in zbMATH

97 Publications have been cited 2,058 times in 1,469 Documents Cited by Year
Numerical methods for singularly perturbed differential equations. Convection-diffusion and flow problems. Zbl 0844.65075
Roos, Hans-Görg; Stynes, Martin; Tobiska, Lutz
442
1996
Robust numerical methods for singularly perturbed differential equations. Convection-diffusion-reaction and flow problems. 2nd ed. Zbl 1155.65087
Roos, Hans-Görg; Stynes, Martin; Tobiska, Lutz
333
2008
A two-level method with backtracking for the Navier-Stokes equations. Zbl 0913.76050
Layton, W.; Tobiska, L.
102
1998
Superconvergence and extrapolation of non-conforming low order finite elements applied to the Poisson equation. Zbl 1068.65122
Lin, Qun; Tobiska, Lutz; Zhou, Aihui
99
2005
A unified convergence analysis for local projection stabilisations applied to the Oseen problem. Zbl 1188.76226
Matthies, Gunar; Skrzypacz, Piotr; Tobiska, Lutz
85
2007
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.
84
2009
Analysis of a streamline diffusion finite element method for the Stokes and Navier-Stokes equations. Zbl 0843.76052
Tobiska, Lutz; Verfürth, Rüdiger
54
1996
The SDFEM for a convection-diffusion problem with a boundary layer: Optimal error analysis and enhancement of accuracy. Zbl 1055.65121
Stynes, Martin; Tobiska, Lutz
48
2003
On spurious velocities in incompressible flow problems with interfaces. Zbl 1173.76338
Ganesan, Sashikumaar; Matthies, Gunar; Tobiska, Lutz
41
2007
Nonconforming streamline-diffusion-finite-element-methods for convection-diffusion problems. Zbl 0898.65068
John, V.; Maubach, J. M.; Tobiska, L.
30
1997
A finite difference analysis of a streamline diffusion method on a Shishkin mesh. Zbl 0916.65108
Stynes, Martin; Tobiska, Lutz
29
1998
Using rectangularqpelements in the SDFEM for a convection-diffusion problem with a boundary layer. Zbl 1154.65083
Stynes, Martin; Tobiska, Lutz
28
2008
Robust arbitrary order mixed finite element methods for the incompressible Stokes equations with pressure independent velocity errors. Zbl 1381.76186
Linke, Alexander; Matthies, Gunar; Tobiska, Lutz
22
2016
Local projection stabilization of equal order interpolation applied to the Stokes problem. Zbl 1198.65214
Ganesan, Sashikumaar; Matthies, Gunar; Tobiska, Lutz
22
2008
Stabilization of local projection type applied to convection-diffusion problems with mixed boundary conditions. Zbl 1171.65074
Matthies, Gunar; Skrzypacz, Piotr; Tobiska, Lutz
22
2008
The inf-sup condition for the mapped \(Q_k-P_{k-1}^{\text{disc}}\) element in arbitrary space dimensions. Zbl 1016.65073
Matthies, G.; Tobiska, L.
22
2002
A streamline-diffusion method for nonconforming finite element approximations applied to convection-diffusion problems. Zbl 0942.76041
John, V.; Matthies, G.; Schieweck, F.; Tobiska, L.
21
1998
Analysis of a new stabilized higher order finite element method for advection-diffusion equations. Zbl 1120.76336
Tobiska, Lutz
20
2006
Arbitrary Lagrangian-Eulerian finite-element method for computation of two-phase flows with soluble surfactants. Zbl 1402.76072
Ganesan, Sashikumaar; Tobiska, Lutz
19
2012
Stabilization by local projection for convection-diffusion and incompressible flow problems. Zbl 1203.76138
Ganesan, Sashikumaar; Tobiska, Lutz
18
2010
A coupled arbitrary Lagrangian-Eulerian and Lagrangian method for computation of free surface flows with insoluble surfactants. Zbl 1282.76118
Ganesan, Sashikumaar; Tobiska, Lutz
17
2009
Numerical performance of smoothers in coupled multigrid methods for the parallel solution of the incompressible Navier-Stokes equations. Zbl 0979.76047
John, Volker; Tobiska, Lutz
17
2000
A modified streamline diffusion method for solving the stationary Navier- Stokes equation. Zbl 0696.76034
Tobiska, Lutz; Lube, Gert
17
1991
Discontinuous Galerkin time stepping with local projection stabilization for transient convection-diffusion-reaction problems. Zbl 1228.76078
Ahmed, N.; Matthies, G.; Tobiska, L.; Xie, H.
16
2011
A numerical study of a class of LES models. Zbl 1148.76327
Iliescu, T.; John, V.; Layton, W. J.; Matthies, G.; Tobiska, L.
16
2003
A nonconforming finite element method of upstream type applied to the stationary Navier-Stokes equation. Zbl 0681.76032
Schieweck, F.; Tobiska, L.
16
1989
Singularly perturbed differential equations. Zbl 0522.35003
Goering, Herbert; Felgenhauer, Andreas; Lube, Gert; Roos, Hans-Goerg; Tobiska, Lutz
16
1983
An accurate finite element scheme with moving meshes for computing 3D-axisymmetric interface flows. Zbl 1138.76045
Ganesan, Sashikumaar; Tobiska, Lutz
15
2008
Convergence analysis of a multiscale finite element method for singularly perturbed problems. Zbl 1091.65108
Franca, Leopoldo P.; Madureira, Alexandre L.; Tobiska, Lutz; Valentin, Frédéric
15
2005
Non-nested multi-level solvers for finite element discretisations of mixed problems. Zbl 1006.65137
John, V.; Knobloch, P.; Matthies, G.; Tobiska, L.
15
2002
The streamline-diffusion method for nonconforming \(Q_1^{\text{rot}}\) elements on rectangular tensor-product meshes. Zbl 0980.65125
Stynes, Martin; Tobiska, Lutz
15
2001
Aspects of finite element discretizations for solving the Boussinesq approximation of the Navier-Stokes equations. Zbl 0876.76038
Dorok, O.; Grambow, W.; Tobiska, L.
15
1994
Local projection type stabilization applied to inf-sup stable discretizations of the Oseen problem. Zbl 1310.76095
Matthies, Gunar; Tobiska, Lutz
14
2015
On the stability of finite-element discretizations of convection-diffusion-reaction equations. Zbl 1211.65147
Knobloch, Petr; Tobiska, Lutz
14
2011
The \(P_1^{\text{mod}}\)-element: A new nonconforming finite element for convection-diffusion problems. Zbl 1048.65111
Knobloch, Petr; Tobiska, Lutz
14
2003
The two-level local projection stabilization as an enriched one-level approach. Zbl 1253.65171
He, Lianhua; Tobiska, Lutz
12
2012
The convergence of the cascadic conjugate-gradient method applied to elliptic problems in domains with re-entrant corners. Zbl 0947.65037
Shaidurov, Vladimir; Tobiska, Lutz
12
2000
Necessary \(L^ 2\)-uniform convergence conditions for difference schemes for two-dimensional convection-diffusion problems. Zbl 0822.65077
Stynes, M.; Tobiska, L.
12
1995
Robust a posteriori error estimates for stabilized finite element methods. Zbl 1334.65186
Tobiska, L.; Verfürth, R.
11
2015
Stability of the residual free bubble method for bilinear finite elements on rectangular grids. Zbl 1005.65122
Franca, Leopoldo P.; Tobiska, Lutz
11
2002
An optimal order error estimate for an upwind discretization of the Navier-Stokes equations. Zbl 0856.76037
Schieweck, F.; Tobiska, L.
11
1996
Modelling and simulation of moving contact line problems with wetting effects. Zbl 1410.76173
Ganesan, Sashikumaar; Tobiska, Lutz
10
2009
The surface topography of a magnetic fluid: a quantitative comparison between experiment and numerical simulation. Zbl 1106.76305
Gollwitzer, Christian; Matthies, Gunar; Richter, Reinhard; Rehberg, Ingo; Tobiska, Lutz
10
2007
Inf-sup stable nonconforming finite elements of arbitrary order on triangles. Zbl 1089.65123
Matthies, Gunar; Tobiska, Lutz
10
2005
A nonconforming finite element method of streamline diffusion type for the incompressible Navier-Stokes equations. Zbl 0699.76032
Lube, G.; Tobiska, L.
10
1990
The two-level local projection stablization as an enriched one-level approach, a one-dimensional study. Zbl 1198.65128
Tobiska, Lutz; Winkel, Christian
9
2010
Analysis of the streamline-diffusion finite element method on a piecewise uniform mesh for a convection-diffusion problem with exponential layers. Zbl 0986.65109
Stynes, M.; Tobiska, L.
8
2001
The streamline-diffusion method for conforming and nonconforming finite elements of lowest order applied to convection-diffusion problems. Zbl 0998.65118
Matthies, G.; Tobiska, L.
8
2001
Streamline diffusion least-squares mixed finite element methods for convection-diffusion problems. Zbl 0895.65049
Lazarov, R. D.; Tobiska, L.; Vassilevski, P. S.
8
1997
Supercloseness and superconvergence of stabilized low-order finite element discretizations of the Stokes problem. Zbl 1410.76168
Eichel, Hagen; Tobiska, Lutz; Xie, Hehu
7
2011
Mass conservation of finite element methods for coupled flow-transport problems. Zbl 1185.65214
Matthies, G.; Tobiska, L.
7
2007
Full and weighted upwind finite element methods. Zbl 0685.65074
Tobiska, Lutz
7
1989
Finite elements. Theory and algorithms. Zbl 1382.65396
Ganesan, Sashikumaar; Tobiska, Lutz
6
2017
On the relationship of local projection stabilization to other stabilized methods for one-dimensional advection-diffusion equations. Zbl 1229.76059
Tobiska, Lutz
6
2009
Recent results on local projection stabilization for convection-diffusion and flow problems. Zbl 1180.35032
Tobiska, Lutz
6
2009
Non-nested multi-grid solvers for mixed divergence-free scott-vogelius discretizations. Zbl 1175.65144
Linke, Alexander; Matthies, Gunar; Tobiska, Lutz
6
2008
An inf-sup stable and residual-free bubble element for the Oseen equations. Zbl 1153.76040
Franca, Leopoldo P.; John, Volker; Matthies, Gunar; Tobiska, Lutz
6
2007
Superconvergence of a 3D finite element method for stationary Stokes and Navier-Stokes problems. Zbl 1078.65091
Matthies, G.; Skrzypacz, P.; Tobiska, L.
6
2005
Finite element methods for coupled problems in ferrohydrodynamics. Zbl 1138.76385
Lavrova, Olga; Matthies, Gunar; Mitkova, Teodora; Polevikov, Viktor; Tobiska, Lutz
6
2003
Improved stability and error analysis for a class of local projection stabilizations applied to the Oseen problem. Zbl 1343.76019
Knobloch, Petr; Tobiska, Lutz
5
2013
On the solution of the steady-state diffusion problem for ferromagnetic particles in a magnetic fluid. Zbl 1255.76127
Polevikov, V.; Tobiska, L.
5
2008
Finite element methods of an operator splitting applied to population balance equations. Zbl 1242.65199
Ahmed, Naveed; Matthies, Gunar; Tobiska, Lutz
4
2011
Numerical study of soliton-like surface configurations on a magnetic fluid layer in the Rosensweig instability. Zbl 1221.76227
Lavrova, Olga; Matthies, Gunar; Tobiska, Lutz
4
2008
Numerical modeling of the equilibrium shapes of a ferrofluid drop in an external magnetic field. Zbl 1354.76138
Lavrova, O.; Matthies, G.; Polevikov, V.; Tobiska, L.
4
2004
A coupled multigrid method for nonconforming finite element discretizations of the 2D-Stokes equation. Zbl 0963.65126
John, V.; Tobiska, L.
4
2000
Stabilization methods of bubble type for the \(Q_1/Q_1\)-element applied to the incompressible Navier-Stokes equations. Zbl 0984.76047
Knobloch, Petr; Tobiska, Lutz
4
2000
Parallel finite element methods for the incompressible Navier-Stokes equations. Zbl 0876.76039
Dorok, O.; John, V.; Risch, U.; Schieweck, F.; Tobiska, L.
4
1996
A new approach to recovery of discontinuous Galerkin. Zbl 1212.65444
Franz, Sebastian; Tobiska, Lutz; Zarin, Helena
3
2009
On Korn’s first inequality for quadrilateral nonconforming finite elements of first-order approximation properties. Zbl 1106.65096
Knobloch, Petr; Tobiska, Lutz
3
2005
Stabilized finite element methods for the Navier-Stokes problem. Zbl 0793.76053
Tobiska, Lutz
3
1993
Diskretisierungsverfahren zur Lösung singulär gestörter Randwertprobleme. Zbl 0535.65058
Tobiska, L.
3
1983
A finite element method for a noncoercive elliptic problem with Neumann boundary conditions. Zbl 1284.65169
Kavaliou, Klim; Tobiska, Lutz
2
2012
A two-level local projection stabilisation on uniformly refined triangular meshes. Zbl 1255.65223
Matthies, Gunar; Tobiska, Lutz
2
2012
ADI approach to the particle diffusion problem in magnetic fluids. Zbl 1386.76116
Polevikov, V.; Tobiska, L.
2
2011
Linear and nonlinear approach to the Rosensweig instability. Zbl 1122.76037
Lange, Adrian; Richter, Reinhard; Tobiska, Lutz
2
2007
Finite element simulation of a droplet impinging a horizontal surface. Zbl 1402.76071
Ganesan, Sashikumaar; Tobiska, Lutz
2
2005
A streamline diffusion method for nonconforming finite element approximations applied to the linearized incompressible Navier-Stokes equation. Zbl 1119.76352
Knobloch, P.; Tobiska, L.
2
1999
Error estimates and numerical experiments for streamline-diffusion-type methods on arbitrary and Shishkin meshes. Zbl 0908.65069
Stynes, Martin; Tobiska, Lutz
2
1997
Finite element method. An introduction. 3., überarb. u. erw. Aufl. Zbl 0780.65066
Goering, Herbert; Roos, Hans-Görg; Tobiska, Lutz
2
1993
Construction of \(L^2\)-orthogonal elements of arbitrary order for local projection stabilization. Zbl 1427.65258
Schieweck, F.; Skrzypacz, P.; Tobiska, L.
1
2018
ALE-FEM for two-phase and free surface flows with surfactants. Zbl 1444.76043
Ganesan, Sashikumaar; Hahn, Andreas; Simon, Kristin; Tobiska, Lutz
1
2017
Operator-splitting finite element algorithms for computations of high-dimensional parabolic problems. Zbl 1273.65144
Ganesan, Sashikumaar; Tobiska, Lutz
1
2013
A local projection type stabilization with exponential enrichments applied to one-dimensional advection-diffusion equations. Zbl 1239.65049
Juhnke, Dominique; Tobiska, Lutz
1
2012
Numerical study of the Rosensweig instability in a magnetic fluid subject to diffusion of magnetic particles. Zbl 1426.76169
Lavrova, O.; Polevikov, V.; Tobiska, L.
1
2010
A finite element method for the simulation of a liquid droplet impinging on a solid surface. Zbl 1156.76032
Ganesan, S.; Tobiska, L.
1
2008
Numerical simulation of the flow in magnetic fluid rotary shaft seals. Zbl 1151.76557
Mitkova, Teodora; Tobiska, Lutz
1
2004
Modeling of a dynamic magneto-fluid seal in the presence of a pressure drop. Zbl 1175.76113
Polevikov, V. K.; Tobiska, L.
1
2001
Simulation of free surfaces of magnetic liquids. Zbl 1057.76549
Matthies, Gunar; Tobiska, Lutz
1
2001
Modified FE discretizations of incompressible flow problems and their relationship to stabilized methods. Zbl 1006.76057
Knobloch, Petr; Tobiska, Lutz
1
2000
A comparison of three solvers for the incompressible Navier-Stokes equations. Zbl 0985.76053
John, V.; Matthies, G.; Mitkova, T. I.; Tobiska, L.; Vassilevski, P. S.
1
2000
Analysis of a mathematical model related to Czochralski crystal growth. Zbl 0969.35107
Knobloch, Petr; Tobiska, Lutz
1
1998
Special integration formulae for a convection-diffusion problem. Zbl 0839.65117
Shaidurov, V.; Tobiska, L.
1
1995
Finite element methods of streamline diffusion type for the Navier-Stokes equations. Zbl 0744.76080
Tobiska, L.
1
1991
Eine upwind FEM zur Lösung des stationären Navier-Stokes Problems. (An upwind FEM for the solution of the stationary Navier-Stokes problem). Zbl 0638.76032
Schieweck, Friedhelm; Tobiska, Lutz
1
1987
An enclosure generating modification of the method of discretization in time. Zbl 0635.65122
Koeppe, G.; Roos, H.-G.; Tobiska, L.
1
1987
Die asymptotische Lösung singulär gestörter elliptischer Probleme 2. Ordnung. Zbl 0479.35009
Tobiska, Lutz; Lube, Gert
1
1980
Asymptotische Lösung singulär gestörter Probleme. Zbl 0421.35005
Tobiska, Lutz
1
1978
Construction of \(L^2\)-orthogonal elements of arbitrary order for local projection stabilization. Zbl 1427.65258
Schieweck, F.; Skrzypacz, P.; Tobiska, L.
1
2018
Finite elements. Theory and algorithms. Zbl 1382.65396
Ganesan, Sashikumaar; Tobiska, Lutz
6
2017
ALE-FEM for two-phase and free surface flows with surfactants. Zbl 1444.76043
Ganesan, Sashikumaar; Hahn, Andreas; Simon, Kristin; Tobiska, Lutz
1
2017
Robust arbitrary order mixed finite element methods for the incompressible Stokes equations with pressure independent velocity errors. Zbl 1381.76186
Linke, Alexander; Matthies, Gunar; Tobiska, Lutz
22
2016
Local projection type stabilization applied to inf-sup stable discretizations of the Oseen problem. Zbl 1310.76095
Matthies, Gunar; Tobiska, Lutz
14
2015
Robust a posteriori error estimates for stabilized finite element methods. Zbl 1334.65186
Tobiska, L.; Verfürth, R.
11
2015
Improved stability and error analysis for a class of local projection stabilizations applied to the Oseen problem. Zbl 1343.76019
Knobloch, Petr; Tobiska, Lutz
5
2013
Operator-splitting finite element algorithms for computations of high-dimensional parabolic problems. Zbl 1273.65144
Ganesan, Sashikumaar; Tobiska, Lutz
1
2013
Arbitrary Lagrangian-Eulerian finite-element method for computation of two-phase flows with soluble surfactants. Zbl 1402.76072
Ganesan, Sashikumaar; Tobiska, Lutz
19
2012
The two-level local projection stabilization as an enriched one-level approach. Zbl 1253.65171
He, Lianhua; Tobiska, Lutz
12
2012
A finite element method for a noncoercive elliptic problem with Neumann boundary conditions. Zbl 1284.65169
Kavaliou, Klim; Tobiska, Lutz
2
2012
A two-level local projection stabilisation on uniformly refined triangular meshes. Zbl 1255.65223
Matthies, Gunar; Tobiska, Lutz
2
2012
A local projection type stabilization with exponential enrichments applied to one-dimensional advection-diffusion equations. Zbl 1239.65049
Juhnke, Dominique; Tobiska, Lutz
1
2012
Discontinuous Galerkin time stepping with local projection stabilization for transient convection-diffusion-reaction problems. Zbl 1228.76078
Ahmed, N.; Matthies, G.; Tobiska, L.; Xie, H.
16
2011
On the stability of finite-element discretizations of convection-diffusion-reaction equations. Zbl 1211.65147
Knobloch, Petr; Tobiska, Lutz
14
2011
Supercloseness and superconvergence of stabilized low-order finite element discretizations of the Stokes problem. Zbl 1410.76168
Eichel, Hagen; Tobiska, Lutz; Xie, Hehu
7
2011
Finite element methods of an operator splitting applied to population balance equations. Zbl 1242.65199
Ahmed, Naveed; Matthies, Gunar; Tobiska, Lutz
4
2011
ADI approach to the particle diffusion problem in magnetic fluids. Zbl 1386.76116
Polevikov, V.; Tobiska, L.
2
2011
Stabilization by local projection for convection-diffusion and incompressible flow problems. Zbl 1203.76138
Ganesan, Sashikumaar; Tobiska, Lutz
18
2010
The two-level local projection stablization as an enriched one-level approach, a one-dimensional study. Zbl 1198.65128
Tobiska, Lutz; Winkel, Christian
9
2010
Numerical study of the Rosensweig instability in a magnetic fluid subject to diffusion of magnetic particles. Zbl 1426.76169
Lavrova, O.; Polevikov, V.; Tobiska, L.
1
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.
84
2009
A coupled arbitrary Lagrangian-Eulerian and Lagrangian method for computation of free surface flows with insoluble surfactants. Zbl 1282.76118
Ganesan, Sashikumaar; Tobiska, Lutz
17
2009
Modelling and simulation of moving contact line problems with wetting effects. Zbl 1410.76173
Ganesan, Sashikumaar; Tobiska, Lutz
10
2009
On the relationship of local projection stabilization to other stabilized methods for one-dimensional advection-diffusion equations. Zbl 1229.76059
Tobiska, Lutz
6
2009
Recent results on local projection stabilization for convection-diffusion and flow problems. Zbl 1180.35032
Tobiska, Lutz
6
2009
A new approach to recovery of discontinuous Galerkin. Zbl 1212.65444
Franz, Sebastian; Tobiska, Lutz; Zarin, Helena
3
2009
Robust numerical methods for singularly perturbed differential equations. Convection-diffusion-reaction and flow problems. 2nd ed. Zbl 1155.65087
Roos, Hans-Görg; Stynes, Martin; Tobiska, Lutz
333
2008
Using rectangularqpelements in the SDFEM for a convection-diffusion problem with a boundary layer. Zbl 1154.65083
Stynes, Martin; Tobiska, Lutz
28
2008
Local projection stabilization of equal order interpolation applied to the Stokes problem. Zbl 1198.65214
Ganesan, Sashikumaar; Matthies, Gunar; Tobiska, Lutz
22
2008
Stabilization of local projection type applied to convection-diffusion problems with mixed boundary conditions. Zbl 1171.65074
Matthies, Gunar; Skrzypacz, Piotr; Tobiska, Lutz
22
2008
An accurate finite element scheme with moving meshes for computing 3D-axisymmetric interface flows. Zbl 1138.76045
Ganesan, Sashikumaar; Tobiska, Lutz
15
2008
Non-nested multi-grid solvers for mixed divergence-free scott-vogelius discretizations. Zbl 1175.65144
Linke, Alexander; Matthies, Gunar; Tobiska, Lutz
6
2008
On the solution of the steady-state diffusion problem for ferromagnetic particles in a magnetic fluid. Zbl 1255.76127
Polevikov, V.; Tobiska, L.
5
2008
Numerical study of soliton-like surface configurations on a magnetic fluid layer in the Rosensweig instability. Zbl 1221.76227
Lavrova, Olga; Matthies, Gunar; Tobiska, Lutz
4
2008
A finite element method for the simulation of a liquid droplet impinging on a solid surface. Zbl 1156.76032
Ganesan, S.; Tobiska, L.
1
2008
A unified convergence analysis for local projection stabilisations applied to the Oseen problem. Zbl 1188.76226
Matthies, Gunar; Skrzypacz, Piotr; Tobiska, Lutz
85
2007
On spurious velocities in incompressible flow problems with interfaces. Zbl 1173.76338
Ganesan, Sashikumaar; Matthies, Gunar; Tobiska, Lutz
41
2007
The surface topography of a magnetic fluid: a quantitative comparison between experiment and numerical simulation. Zbl 1106.76305
Gollwitzer, Christian; Matthies, Gunar; Richter, Reinhard; Rehberg, Ingo; Tobiska, Lutz
10
2007
Mass conservation of finite element methods for coupled flow-transport problems. Zbl 1185.65214
Matthies, G.; Tobiska, L.
7
2007
An inf-sup stable and residual-free bubble element for the Oseen equations. Zbl 1153.76040
Franca, Leopoldo P.; John, Volker; Matthies, Gunar; Tobiska, Lutz
6
2007
Linear and nonlinear approach to the Rosensweig instability. Zbl 1122.76037
Lange, Adrian; Richter, Reinhard; Tobiska, Lutz
2
2007
Analysis of a new stabilized higher order finite element method for advection-diffusion equations. Zbl 1120.76336
Tobiska, Lutz
20
2006
Superconvergence and extrapolation of non-conforming low order finite elements applied to the Poisson equation. Zbl 1068.65122
Lin, Qun; Tobiska, Lutz; Zhou, Aihui
99
2005
Convergence analysis of a multiscale finite element method for singularly perturbed problems. Zbl 1091.65108
Franca, Leopoldo P.; Madureira, Alexandre L.; Tobiska, Lutz; Valentin, Frédéric
15
2005
Inf-sup stable nonconforming finite elements of arbitrary order on triangles. Zbl 1089.65123
Matthies, Gunar; Tobiska, Lutz
10
2005
Superconvergence of a 3D finite element method for stationary Stokes and Navier-Stokes problems. Zbl 1078.65091
Matthies, G.; Skrzypacz, P.; Tobiska, L.
6
2005
On Korn’s first inequality for quadrilateral nonconforming finite elements of first-order approximation properties. Zbl 1106.65096
Knobloch, Petr; Tobiska, Lutz
3
2005
Finite element simulation of a droplet impinging a horizontal surface. Zbl 1402.76071
Ganesan, Sashikumaar; Tobiska, Lutz
2
2005
Numerical modeling of the equilibrium shapes of a ferrofluid drop in an external magnetic field. Zbl 1354.76138
Lavrova, O.; Matthies, G.; Polevikov, V.; Tobiska, L.
4
2004
Numerical simulation of the flow in magnetic fluid rotary shaft seals. Zbl 1151.76557
Mitkova, Teodora; Tobiska, Lutz
1
2004
The SDFEM for a convection-diffusion problem with a boundary layer: Optimal error analysis and enhancement of accuracy. Zbl 1055.65121
Stynes, Martin; Tobiska, Lutz
48
2003
A numerical study of a class of LES models. Zbl 1148.76327
Iliescu, T.; John, V.; Layton, W. J.; Matthies, G.; Tobiska, L.
16
2003
The \(P_1^{\text{mod}}\)-element: A new nonconforming finite element for convection-diffusion problems. Zbl 1048.65111
Knobloch, Petr; Tobiska, Lutz
14
2003
Finite element methods for coupled problems in ferrohydrodynamics. Zbl 1138.76385
Lavrova, Olga; Matthies, Gunar; Mitkova, Teodora; Polevikov, Viktor; Tobiska, Lutz
6
2003
The inf-sup condition for the mapped \(Q_k-P_{k-1}^{\text{disc}}\) element in arbitrary space dimensions. Zbl 1016.65073
Matthies, G.; Tobiska, L.
22
2002
Non-nested multi-level solvers for finite element discretisations of mixed problems. Zbl 1006.65137
John, V.; Knobloch, P.; Matthies, G.; Tobiska, L.
15
2002
Stability of the residual free bubble method for bilinear finite elements on rectangular grids. Zbl 1005.65122
Franca, Leopoldo P.; Tobiska, Lutz
11
2002
The streamline-diffusion method for nonconforming \(Q_1^{\text{rot}}\) elements on rectangular tensor-product meshes. Zbl 0980.65125
Stynes, Martin; Tobiska, Lutz
15
2001
Analysis of the streamline-diffusion finite element method on a piecewise uniform mesh for a convection-diffusion problem with exponential layers. Zbl 0986.65109
Stynes, M.; Tobiska, L.
8
2001
The streamline-diffusion method for conforming and nonconforming finite elements of lowest order applied to convection-diffusion problems. Zbl 0998.65118
Matthies, G.; Tobiska, L.
8
2001
Modeling of a dynamic magneto-fluid seal in the presence of a pressure drop. Zbl 1175.76113
Polevikov, V. K.; Tobiska, L.
1
2001
Simulation of free surfaces of magnetic liquids. Zbl 1057.76549
Matthies, Gunar; Tobiska, Lutz
1
2001
Numerical performance of smoothers in coupled multigrid methods for the parallel solution of the incompressible Navier-Stokes equations. Zbl 0979.76047
John, Volker; Tobiska, Lutz
17
2000
The convergence of the cascadic conjugate-gradient method applied to elliptic problems in domains with re-entrant corners. Zbl 0947.65037
Shaidurov, Vladimir; Tobiska, Lutz
12
2000
A coupled multigrid method for nonconforming finite element discretizations of the 2D-Stokes equation. Zbl 0963.65126
John, V.; Tobiska, L.
4
2000
Stabilization methods of bubble type for the \(Q_1/Q_1\)-element applied to the incompressible Navier-Stokes equations. Zbl 0984.76047
Knobloch, Petr; Tobiska, Lutz
4
2000
Modified FE discretizations of incompressible flow problems and their relationship to stabilized methods. Zbl 1006.76057
Knobloch, Petr; Tobiska, Lutz
1
2000
A comparison of three solvers for the incompressible Navier-Stokes equations. Zbl 0985.76053
John, V.; Matthies, G.; Mitkova, T. I.; Tobiska, L.; Vassilevski, P. S.
1
2000
A streamline diffusion method for nonconforming finite element approximations applied to the linearized incompressible Navier-Stokes equation. Zbl 1119.76352
Knobloch, P.; Tobiska, L.
2
1999
A two-level method with backtracking for the Navier-Stokes equations. Zbl 0913.76050
Layton, W.; Tobiska, L.
102
1998
A finite difference analysis of a streamline diffusion method on a Shishkin mesh. Zbl 0916.65108
Stynes, Martin; Tobiska, Lutz
29
1998
A streamline-diffusion method for nonconforming finite element approximations applied to convection-diffusion problems. Zbl 0942.76041
John, V.; Matthies, G.; Schieweck, F.; Tobiska, L.
21
1998
Analysis of a mathematical model related to Czochralski crystal growth. Zbl 0969.35107
Knobloch, Petr; Tobiska, Lutz
1
1998
Nonconforming streamline-diffusion-finite-element-methods for convection-diffusion problems. Zbl 0898.65068
John, V.; Maubach, J. M.; Tobiska, L.
30
1997
Streamline diffusion least-squares mixed finite element methods for convection-diffusion problems. Zbl 0895.65049
Lazarov, R. D.; Tobiska, L.; Vassilevski, P. S.
8
1997
Error estimates and numerical experiments for streamline-diffusion-type methods on arbitrary and Shishkin meshes. Zbl 0908.65069
Stynes, Martin; Tobiska, Lutz
2
1997
Numerical methods for singularly perturbed differential equations. Convection-diffusion and flow problems. Zbl 0844.65075
Roos, Hans-Görg; Stynes, Martin; Tobiska, Lutz
442
1996
Analysis of a streamline diffusion finite element method for the Stokes and Navier-Stokes equations. Zbl 0843.76052
Tobiska, Lutz; Verfürth, Rüdiger
54
1996
An optimal order error estimate for an upwind discretization of the Navier-Stokes equations. Zbl 0856.76037
Schieweck, F.; Tobiska, L.
11
1996
Parallel finite element methods for the incompressible Navier-Stokes equations. Zbl 0876.76039
Dorok, O.; John, V.; Risch, U.; Schieweck, F.; Tobiska, L.
4
1996
Necessary \(L^ 2\)-uniform convergence conditions for difference schemes for two-dimensional convection-diffusion problems. Zbl 0822.65077
Stynes, M.; Tobiska, L.
12
1995
Special integration formulae for a convection-diffusion problem. Zbl 0839.65117
Shaidurov, V.; Tobiska, L.
1
1995
Aspects of finite element discretizations for solving the Boussinesq approximation of the Navier-Stokes equations. Zbl 0876.76038
Dorok, O.; Grambow, W.; Tobiska, L.
15
1994
Stabilized finite element methods for the Navier-Stokes problem. Zbl 0793.76053
Tobiska, Lutz
3
1993
Finite element method. An introduction. 3., überarb. u. erw. Aufl. Zbl 0780.65066
Goering, Herbert; Roos, Hans-Görg; Tobiska, Lutz
2
1993
A modified streamline diffusion method for solving the stationary Navier- Stokes equation. Zbl 0696.76034
Tobiska, Lutz; Lube, Gert
17
1991
Finite element methods of streamline diffusion type for the Navier-Stokes equations. Zbl 0744.76080
Tobiska, L.
1
1991
A nonconforming finite element method of streamline diffusion type for the incompressible Navier-Stokes equations. Zbl 0699.76032
Lube, G.; Tobiska, L.
10
1990
A nonconforming finite element method of upstream type applied to the stationary Navier-Stokes equation. Zbl 0681.76032
Schieweck, F.; Tobiska, L.
16
1989
Full and weighted upwind finite element methods. Zbl 0685.65074
Tobiska, Lutz
7
1989
Eine upwind FEM zur Lösung des stationären Navier-Stokes Problems. (An upwind FEM for the solution of the stationary Navier-Stokes problem). Zbl 0638.76032
Schieweck, Friedhelm; Tobiska, Lutz
1
1987
An enclosure generating modification of the method of discretization in time. Zbl 0635.65122
Koeppe, G.; Roos, H.-G.; Tobiska, L.
1
1987
Singularly perturbed differential equations. Zbl 0522.35003
Goering, Herbert; Felgenhauer, Andreas; Lube, Gert; Roos, Hans-Goerg; Tobiska, Lutz
16
1983
Diskretisierungsverfahren zur Lösung singulär gestörter Randwertprobleme. Zbl 0535.65058
Tobiska, L.
3
1983
Die asymptotische Lösung singulär gestörter elliptischer Probleme 2. Ordnung. Zbl 0479.35009
Tobiska, Lutz; Lube, Gert
1
1980
Asymptotische Lösung singulär gestörter Probleme. Zbl 0421.35005
Tobiska, Lutz
1
1978
all top 5

Cited by 1,661 Authors

55 Shi, Dongyang
44 John, Volker
40 Tobiska, Lutz
32 Stynes, Martin
31 He, Yinnian
31 Roos, Hans-Görg
29 Matthies, Gunar
27 Linke, Alexander
27 Lube, Gert
25 Natesan, Srinivasan
24 Shishkin, Grigoriĭ Ivanovich
21 Kadalbajoo, Mohan K.
20 Franz, Sebastian
20 Linß, Torsten
19 Amiraliyev, Gabil M.
19 Clavero, Carmelo
19 O’Riordan, Eugene
17 Gracia, José Luis
17 Knobloch, Petr
16 Burman, Erik
16 Liu, Xiaowei
16 Ramanujam, Narashimhan
16 Zhang, Jin
15 Ahmed, Naveed
15 Ganesan, Sashikumaar
15 Schieweck, Friedhelm
13 Feng, Minfu
13 Layton, William J.
13 Rebholz, Leo G.
13 Xenophontos, Christos A.
12 Kaushik, Aditya
12 Novo, Julia
11 Feng, Xinlong
11 Kopteva, Natalia Viktorovna
11 Li, Jichun
11 Valentin, Frédéric
10 Barrenechea, Gabriel R.
10 Kumar, Sunil
10 Patidar, Kailash C.
10 Teofanov, Ljiljana
10 Xie, Hehu
9 Cen, Zhongdi
9 Feistauer, Miloslav
9 Garcke, Harald
9 Hu, Jun
9 Huang, Pengzhan
9 Jung, Changyeol
9 Lisbona Cortés, Francisco Javier
9 Merdon, Christian
9 Miller, John James Henry
9 Sacco, Riccardo
9 Shanthi, V. G.
9 Turek, Stefan
9 Zarin, Helena
9 Zhu, Peng
8 Araya, Rodolfo A.
8 Chen, Shaochun
8 Codina, Ramon
8 Guan, Hongbo
8 Kumar, Mukesh
8 Lin, Qun
8 Madden, Niall
8 Mao, Shipeng
8 Nesliturk, Ali I.
8 Rao, S. Chandra Sekhara
8 Sharma, Kapil Kumar
8 Temam, Roger Meyer
8 Wang, Song
7 Braack, Malte
7 Chacón Rebollo, Tomás
7 de Frutos, Javier
7 Erdogan, Fevzi
7 Ern, Alexandre
7 Jorge, Juan Carlos
7 Ramanujam, Narasimhan
7 Shi, Zhongci
7 Xu, Jinchao
7 Zhang, Zhimin
7 Zhao, Yanmin
6 Allendes, Alejandro
6 Bawa, Rajesh Kumar
6 Fernández, Miguel Ángel
6 Franca, Leopoldo Luis Cabo Penna
6 Fuhrmann, Jürgen
6 Kellogg, Bruce
6 Kumar, Devendra
6 Li, Zi-Cai
6 Nürnberg, Robert
6 Olshanskii, Maxim A.
6 Reusken, Arnold
6 Schroeder, Philipp W.
6 Shang, Yueqiang
6 Sun, Pengtao
6 Tamilselvan, Ayyadurai
6 Valarmathi, Sigamani
6 Vulanović, Relja
6 Zhang, Yan
5 Arndt, Daniel
5 Barrett, John W.
5 Buscaglia, Gustavo C.
...and 1,561 more Authors
all top 5

Cited in 152 Serials

145 Computer Methods in Applied Mechanics and Engineering
128 Applied Mathematics and Computation
122 Journal of Computational and Applied Mathematics
83 Computers & Mathematics with Applications
81 Applied Numerical Mathematics
71 Journal of Computational Physics
50 Journal of Scientific Computing
42 Mathematics of Computation
40 Numerical Algorithms
31 Computers and Fluids
31 Advances in Computational Mathematics
30 Numerische Mathematik
25 Numerical Methods for Partial Differential Equations
21 SIAM Journal on Numerical Analysis
21 Applied Mathematics Letters
20 Journal of Mathematical Analysis and Applications
19 Computing
17 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
15 Applied Mathematics and Mechanics. (English Edition)
14 International Journal for Numerical Methods in Fluids
14 BIT
14 Calcolo
14 International Journal of Computer Mathematics
12 Applications of Mathematics
11 Applied Mathematical Modelling
10 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
10 Journal of Numerical Mathematics
10 Science China. Mathematics
9 SIAM Journal on Scientific Computing
9 Communications in Nonlinear Science and Numerical Simulation
9 Computational Methods in Applied Mathematics
8 Journal of Fluid Mechanics
8 Numerical Functional Analysis and Optimization
8 International Journal of Applied and Computational Mathematics
7 International Journal for Numerical Methods in Engineering
7 Computational and Applied Mathematics
7 Engineering Analysis with Boundary Elements
7 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
6 Mathematical Methods in the Applied Sciences
6 Journal of Optimization Theory and Applications
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 Acta Mathematicae Applicatae Sinica. English Series
6 Abstract and Applied Analysis
6 Journal of Systems Science and Complexity
6 Journal of Applied Mathematics and Computing
6 Advances in Difference Equations
5 Journal of Engineering Mathematics
5 Mathematical and Computer Modelling
5 Differential Equations and Dynamical Systems
5 International Journal of Computational Methods
5 S\(\vec{\text{e}}\)MA Journal
4 Mathematics and Computers in Simulation
4 Computational Mechanics
4 Computing and Visualization in Science
4 Journal of Mathematical Fluid Mechanics
4 Archives of Computational Methods in Engineering
3 Computer Physics Communications
3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
3 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
3 Zeitschrift für Analysis und ihre Anwendungen
3 RAIRO. Modélisation Mathématique et Analyse Numérique
3 Science in China. Series A
3 Japan Journal of Industrial and Applied Mathematics
3 Computational Mathematics and Mathematical Physics
3 Communications in Numerical Methods in Engineering
3 Numerical Linear Algebra with Applications
3 ETNA. Electronic Transactions on Numerical Analysis
3 Journal of Difference Equations and Applications
3 Mathematical Problems in Engineering
3 International Journal of Computational Fluid Dynamics
3 Taiwanese Journal of Mathematics
3 European Journal of Mechanics. B. Fluids
3 Nonlinear Analysis. Real World Applications
3 Journal of Applied Mathematics
3 Multiscale Modeling & Simulation
3 Proceedings of the Steklov Institute of Mathematics
3 Advances in Numerical Analysis
3 Journal of Applied Mathematics & Informatics
3 Electronic Research Archive
2 Applicable Analysis
2 Kybernetika
2 Acta Applicandae Mathematicae
2 SIAM Review
2 Cybernetics and Systems Analysis
2 Physics of Fluids
2 Journal of the Egyptian Mathematical Society
2 Turkish Journal of Mathematics
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Combustion Theory and Modelling
2 Foundations of Computational Mathematics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Central European Journal of Mathematics
2 Boletim da Sociedade Paranaense de Matemática. Terceira Série
2 Frontiers of Mathematics in China
2 International Journal for Computational Methods in Engineering Science and Mechanics
2 AMM. Applied Mathematics and Mechanics. (English Edition)
2 SMAI Journal of Computational Mathematics
1 Acta Mechanica
1 International Journal of Heat and Mass Transfer
1 Indian Journal of Pure & Applied Mathematics
...and 52 more Serials

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