D-Index & Metrics Best Publications

D-Index & Metrics

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 30 Citations 8,581 88 World Ranking 2196 National Ranking 140

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Geometry
  • Finite element method

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.

His most cited work include:

  • Numerical Methods for Singularly Perturbed Differential Equations (903 citations)
  • Numerical methods for singularly perturbed differential equations : convection-diffusion and flow problems (422 citations)
  • Quantitative benchmark computations of two-dimensional bubble dynamics (316 citations)

What are the main themes of his work throughout his whole career to date?

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.

He most often published in these fields:

  • Finite element method (54.11%)
  • Mathematical analysis (44.52%)
  • Mechanics (21.92%)

What were the highlights of his more recent work (between 2011-2019)?

  • Finite element method (54.11%)
  • Mathematical analysis (44.52%)
  • Projection (8.22%)

In recent papers he was focusing on the following fields of study:

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.

Between 2011 and 2019, his most popular works were:

  • ROBUST ARBITRARY ORDER MIXED FINITE ELEMENT METHODS FOR THE INCOMPRESSIBLE STOKES EQUATIONS WITH PRESSURE INDEPENDENT VELOCITY ERRORS (53 citations)
  • Arbitrary Lagrangian-Eulerian finite-element method for computation of two-phase flows with soluble surfactants (37 citations)
  • Local projection type stabilization applied to inf–sup stable discretizations of the Oseen problem (30 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Geometry
  • Partial differential equation

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.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Robust Numerical Methods for Singularly Perturbed Differential Equations: Convection-Diffusion-Reaction and Flow Problems

Hans-Görg Roos;M. Stynes;L. Tobiska.
(1996)

2841 Citations

Numerical Methods for Singularly Perturbed Differential Equations

Hans-Görg Roos;Martin Stynes;Lutz Tobiska.
(1996)

1432 Citations

Numerical methods for singularly perturbed differential equations : convection-diffusion and flow problems

Hans-Görg Roos;M. Stynes;L. Tobiska.
(1996)

648 Citations

Quantitative benchmark computations of two-dimensional bubble dynamics

S Hysing;S Turek;D Kuzmin;N Parolini.
International Journal for Numerical Methods in Fluids (2009)

471 Citations

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)

248 Citations

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)

246 Citations

A Two-Level Method with Backtracking for the Navier--Stokes Equations

W. Layton;L. Tobiska.
SIAM Journal on Numerical Analysis (1998)

206 Citations

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)

166 Citations

On spurious velocities in incompressible flow problems with interfaces

Sashikumaar Ganesan;Gunar Matthies;Lutz Tobiska.
Computer Methods in Applied Mechanics and Engineering (2007)

126 Citations

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)

123 Citations

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