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
Mechanical and Aerospace Engineering D-index 45 Citations 6,675 188 World Ranking 458 National Ranking 14

Research.com Recognitions

Awards & Achievements

2018 - Fellow of the International Association for Computational Mechanics (IACM)

Overview

What is he best known for?

The fields of study he is best known for:

  • Operating system
  • Finite element method
  • Programming language

Ernst Rank spends much of his time researching Finite element method, Mathematical optimization, Applied mathematics, Algorithm and Mesh generation. Ernst Rank studies Mixed finite element method, a branch of Finite element method. In his research, Smoothed finite element method and Boundary knot method is intimately related to Extended finite element method, which falls under the overarching field of Mixed finite element method.

The Mathematical optimization study combines topics in areas such as Computational mechanics, Isogeometric analysis, Boundary value problem and Boundary. Ernst Rank combines subjects such as Discretization, Polygon mesh and Classification of discontinuities with his study of Applied mathematics. His Algorithm research is multidisciplinary, incorporating elements of Basis, Microscopic traffic flow model and Fictitious domain method.

His most cited work include:

  • Finite cell method (331 citations)
  • An Isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces (312 citations)
  • The finite cell method for three-dimensional problems of solid mechanics (296 citations)

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

Ernst Rank mostly deals with Finite element method, Mathematical analysis, Discretization, Algorithm and Applied mathematics. His Finite element method research includes elements of Computation and Mathematical optimization. His study in Computation is interdisciplinary in nature, drawing from both Computational fluid dynamics and Computational science.

His work carried out in the field of Mathematical analysis brings together such families of science as Lattice Boltzmann methods, Geometry and Boundary. His Algorithm study typically links adjacent topics like Domain. His Mixed finite element method study combines topics from a wide range of disciplines, such as Smoothed finite element method and Extended finite element method.

He most often published in these fields:

  • Finite element method (42.42%)
  • Mathematical analysis (14.14%)
  • Discretization (13.11%)

What were the highlights of his more recent work (between 2016-2021)?

  • Finite element method (42.42%)
  • Discretization (13.11%)
  • Numerical analysis (5.33%)

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

Finite element method, Discretization, Numerical analysis, Algorithm and Boundary are his primary areas of study. His biological study spans a wide range of topics, including Fracture mechanics, Point cloud and Mathematical analysis. His research on Mathematical analysis often connects related areas such as hp-FEM.

His studies deal with areas such as Polygon mesh, Computational science, Mesh generation, Applied mathematics and Computation as well as Discretization. Ernst Rank usually deals with Algorithm and limits it to topics linked to Isogeometric analysis and Basis function. His work in Boundary addresses issues such as Domain, which are connected to fields such as Boundary value problem.

Between 2016 and 2021, his most popular works were:

  • Biofabricated soft network composites for cartilage tissue engineering. (71 citations)
  • Additive manufacturing in construction: A review on processes, applications, and digital planning methods (66 citations)
  • An integrated design, material, and fabrication platform for engineering biomechanically and biologically functional soft tissues (50 citations)

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

  • Operating system
  • Programming language
  • Finite element method

The scientist’s investigation covers issues in Finite element method, Discretization, Algorithm, Mesh generation and Mathematical analysis. Finite element method is a primary field of his research addressed under Structural engineering. His Discretization study combines topics in areas such as Degrees of freedom, Mechanics, Heat transfer and State variable.

The concepts of his Algorithm study are interwoven with issues in Current, Isogeometric analysis and Boundary value problem. The study incorporates disciplines such as Octree, Polygon mesh and Mathematical optimization in addition to Mesh generation. In general Mathematical analysis, his work in Classification of discontinuities, Complex geometry and Domain is often linked to Context linking many areas of study.

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 Isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces

Dominik Schillinger;Dominik Schillinger;Luca Dedè;Michael A. Scott;John A. Evans.
Computer Methods in Applied Mechanics and Engineering (2012)

460 Citations

Finite cell method

Jamshid Parvizian;Jamshid Parvizian;Alexander Düster;Ernst Rank.
Computational Mechanics (2007)

447 Citations

The finite cell method for three-dimensional problems of solid mechanics

A. Düster;J. Parvizian;Z. Yang;E. Rank.
Computer Methods in Applied Mechanics and Engineering (2008)

437 Citations

A multiscale finite-element method

E. Rank;R. Krause.
Computers & Structures (1997)

308 Citations

The p‐Version of the Finite Element Method

Barna Szabó;Alexander Düster;Ernst Rank.
Encyclopedia of Computational Mechanics (2004)

294 Citations

The p‐version of the finite element method for three‐dimensional curved thin walled structures

A. Düster;H. Bröker;E. Rank.
International Journal for Numerical Methods in Engineering (2001)

255 Citations

Weak coupling for isogeometric analysis of non-matching and trimmed multi-patch geometries

Martin Ruess;Dominik Schillinger;Ali I. Özcan;Ernst Rank.
Computer Methods in Applied Mechanics and Engineering (2014)

223 Citations

Lattice Boltzmann simulations of binary fluid flow through porous media.

Jonas Tölke;Manfred Krafczyk;Manuel Schulz;Ernst Rank.
Philosophical Transactions of the Royal Society A (2002)

216 Citations

Analysis of 3D transient blood flow passing through an artificial aortic valve by Lattice–Boltzmann methods

M. Krafczyk;M. Cerrolaza;M. Schulz;E. Rank.
Journal of Biomechanics (1998)

200 Citations

Small and large deformation analysis with the p- and B-spline versions of the Finite Cell Method

Dominik Schillinger;Martin Ruess;Nils Zander;Yuri Bazilevs.
Computational Mechanics (2012)

180 Citations

Best Scientists Citing Ernst Rank

Alexander Düster

Alexander Düster

Hamburg University of Technology

Publications: 47

Thomas J. R. Hughes

Thomas J. R. Hughes

The University of Texas at Austin

Publications: 39

Alessandro Reali

Alessandro Reali

University of Pavia

Publications: 28

Ming-Chen Hsu

Ming-Chen Hsu

Iowa State University

Publications: 25

Stéphane Bordas

Stéphane Bordas

University of Luxembourg

Publications: 24

Yalchin Efendiev

Yalchin Efendiev

Texas A&M University

Publications: 20

Ivo Babuška

Ivo Babuška

The University of Texas at Austin

Publications: 19

Bert Jüttler

Bert Jüttler

Johannes Kepler University of Linz

Publications: 19

Erasmo Carrera

Erasmo Carrera

Polytechnic University of Turin

Publications: 19

Yuri Bazilevs

Yuri Bazilevs

Brown University

Publications: 16

Kai-Uwe Bletzinger

Kai-Uwe Bletzinger

Technical University of Munich

Publications: 16

Peter Wriggers

Peter Wriggers

University of Hannover

Publications: 15

Timon Rabczuk

Timon Rabczuk

Bauhaus University, Weimar

Publications: 14

Dietmar W. Hutmacher

Dietmar W. Hutmacher

Queensland University of Technology

Publications: 14

Annalisa Buffa

Annalisa Buffa

École Polytechnique Fédérale de Lausanne

Publications: 14

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking d-index is inferred from publications deemed to belong to the considered discipline.

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