H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 41 Citations 6,613 222 World Ranking 960 National Ranking 17

Overview

What is he best known for?

The fields of study he is best known for:

  • Geometry
  • Mathematical analysis
  • Artificial intelligence

Mathematical analysis, Isogeometric analysis, Spline, Algorithm and Basis function are his primary areas of study. His Mathematical analysis research includes elements of Parameterized complexity and Geometric design. He has researched Isogeometric analysis in several fields, including Discretization, Geometry and Contractible space, Topology.

His Spline research integrates issues from Discrete mathematics, Partition of unity, Planar, Smoothing spline and Visualization. His Algorithm research includes themes of Computer Aided Design, Solver, Mathematical optimization and Unit square. His Basis function research focuses on Basis and how it relates to Hierarchy and Order.

His most cited work include:

  • THB-splines: The truncated basis for hierarchical splines (303 citations)
  • Adaptive isogeometric analysis by local h-refinement with T-splines (301 citations)
  • A hierarchical approach to adaptive local refinement in isogeometric analysis (296 citations)

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

His primary scientific interests are in Mathematical analysis, Spline, Isogeometric analysis, Applied mathematics and Geometry. His study in Mathematical analysis is interdisciplinary in nature, drawing from both Planar and Bézier curve. His Spline research also works with subjects such as

  • Piecewise that connect with fields like Discrete mathematics,
  • Linear independence which intersects with area such as Partition of unity,
  • Geometric design that connect with fields like Parametric equation.

His Isogeometric analysis study integrates concerns from other disciplines, such as Basis function, Algorithm, Partial differential equation and Matrix. Bert Jüttler works mostly in the field of Algorithm, limiting it down to topics relating to Mathematical optimization and, in certain cases, Adaptive refinement. His Applied mathematics research incorporates elements of Numerical integration, Algebraic number, Galerkin method and System of linear equations.

He most often published in these fields:

  • Mathematical analysis (30.90%)
  • Spline (26.39%)
  • Isogeometric analysis (25.35%)

What were the highlights of his more recent work (between 2015-2021)?

  • Isogeometric analysis (25.35%)
  • Spline (26.39%)
  • Applied mathematics (22.92%)

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

Bert Jüttler mostly deals with Isogeometric analysis, Spline, Applied mathematics, Algorithm and Mathematical analysis. His studies in Isogeometric analysis integrate themes in fields like Basis function, Matrix, Partial differential equation and Trimming. His work deals with themes such as Mathematical optimization, Box spline, Pure mathematics and Topology, which intersect with Spline.

His biological study spans a wide range of topics, including Numerical integration, Surface, Function, Generalization and Computation. His study in the field of Floating point also crosses realms of Spline fitting. His Mathematical analysis study combines topics from a wide range of disciplines, such as Planar and Parameterized complexity.

Between 2015 and 2021, his most popular works were:

  • THB-splines: An effective mathematical technology for adaptive refinement in geometric design and isogeometric analysis (70 citations)
  • Isogeometric analysis with geometrically continuous functions on planar multi-patch geometries (55 citations)
  • Isogeometric analysis with geometrically continuous functions on planar multi-patch geometries (55 citations)

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

  • Geometry
  • Mathematical analysis
  • Artificial intelligence

Bert Jüttler focuses on Isogeometric analysis, Spline, Mathematical analysis, Algorithm and Partial differential equation. His Isogeometric analysis study combines topics from a wide range of disciplines, such as Linear space and Applied mathematics. Bert Jüttler interconnects Pure mathematics, Parameterized complexity, Basis function, Spline interpolation and Polyharmonic spline in the investigation of issues within Spline.

His Basis function research is multidisciplinary, relying on both Partition of unity, Linear independence, Adaptive mesh refinement, Piecewise and Topology. The study incorporates disciplines such as Quadrilateral, Domain decomposition methods, CAD, Mathematical optimization and Trimming in addition to Algorithm. His Partial differential equation study integrates concerns from other disciplines, such as Numerical integration, Smoothness and Surface, Subdivision surface.

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.

Top Publications

Adaptive isogeometric analysis by local h-refinement with T-splines

Michael R. Dörfel;Bert Jüttler;Bernd Simeon.
Computer Methods in Applied Mechanics and Engineering (2010)

478 Citations

A hierarchical approach to adaptive local refinement in isogeometric analysis

Anh-Vu Vuong;Carlotta Giannelli;Bert Jüttler;Bernd Simeon.
Computer Methods in Applied Mechanics and Engineering (2011)

457 Citations

THB-splines: The truncated basis for hierarchical splines

Carlotta Giannelli;Bert JüTtler;Hendrik Speleers.
Computer Aided Geometric Design (2012)

419 Citations

Computation of rotation minimizing frames

Wenping Wang;Bert Jüttler;Dayue Zheng;Yang Liu.
ACM Transactions on Graphics (2008)

217 Citations

An algebraic approach to curves and surfaces on the sphere and on other quadrics

Roland Dietz;Josef Hoschek;Bert Jüttler.
Computer Aided Geometric Design (1993)

204 Citations

Computer-Aided Design With Spatial Rational B-Spline Motions

B. Jüttler;M. G. Wagner.
Journal of Mechanical Design (1996)

176 Citations

Swept Volume Parameterization for Isogeometric Analysis

M. Aigner;C. Heinrich;B. Jüttler;E. Pilgerstorfer.
conference on mathematics of surfaces (2009)

149 Citations

IETI – Isogeometric Tearing and Interconnecting

Stefan K. Kleiss;Clemens Pechstein;Bert Jüttler;Satyendra Tomar.
Computer Methods in Applied Mechanics and Engineering (2012)

138 Citations

Strongly stable bases for adaptively refined multilevel spline spaces

Carlotta Giannelli;Bert Jüttler;Hendrik Speleers.
Advances in Computational Mathematics (2014)

134 Citations

Least-squares fitting of algebraic spline surfaces ∗

Bert Jüttler;Alf Felis.
Advances in Computational Mathematics (2002)

120 Citations

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

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