Lutz Tobiska mostly deals with Finite element method, Mathematical analysis, Navier–Stokes equations, Numerical analysis and Multigrid method. His research in Finite element method intersects with topics in Discretization, Geometry, Incompressible flow and Applied mathematics. His Mathematical analysis research includes themes of Conservation of mass, Mixed finite element method and Compressibility.
Lutz Tobiska interconnects Computer simulation, Reynolds number and Nonlinear system in the investigation of issues within Navier–Stokes equations. In his study, Lutz Tobiska carries out multidisciplinary Multigrid method and Numerical methods for ordinary differential equations research. His work deals with themes such as Method of matched asymptotic expansions, Numerical stability and Discontinuous Galerkin method, which intersect with Numerical partial differential equations.
Lutz Tobiska spends much of his time researching Finite element method, Mathematical analysis, Mechanics, Applied mathematics and Numerical analysis. His Finite element method research is multidisciplinary, relying on both Discretization and Classical mechanics. Many of his studies on Mathematical analysis involve topics that are commonly interrelated, such as Navier–Stokes equations.
His work in Mechanics addresses issues such as Drop, which are connected to fields such as Ferrofluid. His Applied mathematics study incorporates themes from Geometry, Mathematical optimization and Numerical stability. His research investigates the connection with Numerical analysis and areas like Polygon mesh which intersect with concerns in Computation.
His primary scientific interests are in Finite element method, Mathematical analysis, Projection, Applied mathematics and Classical mechanics. In the field of Finite element method, his study on Mixed finite element method overlaps with subjects such as A priori and a posteriori. His Mixed finite element method research is multidisciplinary, incorporating elements of Flow velocity, Geometry and Extended finite element method.
His study explores the link between Mathematical analysis and topics such as Constant that cross with problems in Reduction and Diagonal. His Applied mathematics research incorporates elements of Numerical analysis and Interpolation. The study incorporates disciplines such as Navier–Stokes equations and Solid mechanics in addition to Classical mechanics.
Lutz Tobiska focuses on Finite element method, Mathematical analysis, Applied mathematics, Projection and Upper and lower bounds. His Finite element method study combines topics in areas such as Navier–Stokes equations, Compressibility, Order and Classical mechanics. His Mathematical analysis research is multidisciplinary, incorporating perspectives in Mixed finite element method, Geometry, Reduction, Computation and Stokes problem.
His Mixed finite element method research includes elements of Conservation of mass, Weak formulation, Conservative vector field, Extended finite element method and Robustness. Lutz Tobiska has included themes like Degree, Constant, Polynomial, Degree of a polynomial and Piecewise in his Applied mathematics study. His studies in Upper and lower bounds integrate themes in fields like Multiplicative function and Streamline diffusion.
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Robust Numerical Methods for Singularly Perturbed Differential Equations: Convection-Diffusion-Reaction and Flow Problems
Hans-Görg Roos;M. Stynes;L. Tobiska.
Numerical Methods for Singularly Perturbed Differential Equations
Hans-Görg Roos;Martin Stynes;Lutz Tobiska.
Numerical methods for singularly perturbed differential equations : convection-diffusion and flow problems
Hans-Görg Roos;M. Stynes;L. Tobiska.
Quantitative benchmark computations of two-dimensional bubble dynamics
S Hysing;S Turek;D Kuzmin;N Parolini.
International Journal for Numerical Methods in Fluids (2009)
Superconvergence and extrapolation of non-conforming low order finite elements applied to the Poisson equation
Qun Lin;Lutz Tobiska;Aihui Zhou.
Ima Journal of Numerical Analysis (2005)
A unified convergence analysis for local projection stabilisations applied to the Oseen problem
Gunar Matthies;Piotr Skrzypacz;Lutz Tobiska.
Mathematical Modelling and Numerical Analysis (2007)
A Two-Level Method with Backtracking for the Navier--Stokes Equations
W. Layton;L. Tobiska.
SIAM Journal on Numerical Analysis (1998)
Analysis of a streamline diffusion finite element method for the Stokes and Navier-Stokes equations
Lutz Tobiska;Rüdiger Verfürth.
SIAM Journal on Numerical Analysis (1996)
On spurious velocities in incompressible flow problems with interfaces
Sashikumaar Ganesan;Gunar Matthies;Lutz Tobiska.
Computer Methods in Applied Mechanics and Engineering (2007)
The SDFEM for a Convection-Diffusion Problem with a Boundary Layer: Optimal Error Analysis and Enhancement of Accuracy
Martin Stynes;Lutz Tobiska.
SIAM Journal on Numerical Analysis (2003)
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