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 31 Citations 3,508 100 World Ranking 1985 National Ranking 131
Engineering and Technology D-index 31 Citations 3,426 98 World Ranking 5803 National Ranking 203

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Geometry
  • Finite element method

Arnold Reusken mostly deals with Finite element method, Mathematical analysis, Numerical analysis, Discretization and Extended finite element method. His Finite element method research includes elements of Mechanics, Partial differential equation and Classical mechanics. His Continuous solution study in the realm of Mathematical analysis interacts with subjects such as Viscosity coefficient.

His work deals with themes such as Solver, Applied mathematics, Preconditioner and Schur complement, which intersect with Numerical analysis. His Discretization study combines topics in areas such as Multigrid method and Mathematical optimization. His research investigates the link between Extended finite element method and topics such as Finite volume method that cross with problems in Spectral element method and Smoothed finite element method.

His most cited work include:

  • An extended pressure finite element space for two-phase incompressible flows with surface tension (170 citations)
  • A Finite Element Method for Elliptic Equations on Surfaces (164 citations)
  • Grad-div stablilization for Stokes equations (133 citations)

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

His primary areas of investigation include Finite element method, Mathematical analysis, Discretization, Applied mathematics and Multigrid method. He interconnects Partial differential equation and Surface in the investigation of issues within Finite element method. In the field of Mathematical analysis, his study on Numerical analysis overlaps with subjects such as Level set method.

His Discretization research is multidisciplinary, incorporating perspectives in Trace, Lagrange multiplier, Surface tension, Solver and Discontinuous Galerkin method. His Applied mathematics research includes themes of Positive-definite matrix, Matrix and Iterative method, Mathematical optimization. Arnold Reusken combines subjects such as Convection–diffusion equation, Boundary value problem, System of linear equations and Schur complement with his study of Multigrid method.

He most often published in these fields:

  • Finite element method (52.29%)
  • Mathematical analysis (48.37%)
  • Discretization (42.48%)

What were the highlights of his more recent work (between 2017-2021)?

  • Finite element method (52.29%)
  • Discretization (42.48%)
  • Mathematical analysis (48.37%)

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

Arnold Reusken spends much of his time researching Finite element method, Discretization, Mathematical analysis, Applied mathematics and Surface. In his study, Numerical analysis is strongly linked to Multigrid method, which falls under the umbrella field of Finite element method. His Discretization study integrates concerns from other disciplines, such as Lagrange multiplier, Stokes flow, Partial differential equation and Discontinuous Galerkin method.

His studies deal with areas such as Poisson problem and Conductor as well as Mathematical analysis. His Applied mathematics research includes elements of Vector field, Eigenvalues and eigenvectors, Mixed finite element method and Laplace transform. His biological study spans a wide range of topics, including Smoothed finite element method, Geometry and Finite volume method.

Between 2017 and 2021, his most popular works were:

  • Incompressible fluid problems on embedded surfaces: Modeling and variational formulations (44 citations)
  • Analysis of a High-Order Trace Finite Element Method for PDEs on Level Set Surfaces (36 citations)
  • A Finite Element Method for the Surface Stokes Problem (31 citations)

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

  • Mathematical analysis
  • Geometry
  • Algebra

Arnold Reusken focuses on Surface, Finite element method, Mathematical analysis, Discretization and Partial differential equation. His Finite element method research integrates issues from Smoothed finite element method, Geometry and Applied mathematics. The study incorporates disciplines such as Piecewise and Finite volume method in addition to Applied mathematics.

His research in Mathematical analysis intersects with topics in Tangential flow and Stokes problem. He has researched Discretization in several fields, including Trace, Uniform boundedness, Position and Interpolation. His Partial differential equation research is multidisciplinary, incorporating perspectives in Lagrange multiplier, Penalty method, Saddle, Saddle point and Domain.

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

An extended pressure finite element space for two-phase incompressible flows with surface tension

Sven Groí;Arnold Reusken.
Journal of Computational Physics (2007)

268 Citations

Numerical Methods for Two-phase Incompressible Flows

Sven Gross;Arnold Reusken.
(2011)

259 Citations

Grad-div stablilization for Stokes equations

Maxim A. Olshanskii;Arnold Reusken.
Mathematics of Computation (2003)

194 Citations

A Finite Element Method for Elliptic Equations on Surfaces

Maxim A. Olshanskii;Arnold Reusken;Jörg Grande.
SIAM Journal on Numerical Analysis (2009)

181 Citations

A finite element based level set method for two-phase incompressible flows

Sven Groß;Volker Reichelt;Arnold Reusken.
Computing and Visualization in Science (2006)

148 Citations

Analysis of an extended pressure finite element space for two-phase incompressible flows

Arnold Reusken.
Computing and Visualization in Science (2008)

118 Citations

Analysis of a damped nonlinear multilevel method

W. Hackbusch;A. Reusken.
Numerische Mathematik (1989)

99 Citations

Finite Element Discretization Error Analysis of a Surface Tension Force in Two-Phase Incompressible Flows

Sven Gross;Arnold Reusken.
SIAM Journal on Numerical Analysis (2007)

98 Citations

Validated simulation of droplet sedimentation with finite-element and level-set methods.

Evangelos Bertakis;Sven Groß;Jörg Grande;Oliver Fortmeier.
Chemical Engineering Science (2010)

83 Citations

Analysis of a Stokes interface problem

Maxim A. Olshanskii;Arnold Reusken.
Numerische Mathematik (2006)

80 Citations

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