H-Index & Metrics Best Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Engineering and Technology D-index 50 Citations 7,900 227 World Ranking 1525 National Ranking 641

Overview

What is he best known for?

The fields of study he is best known for:

  • Statistics
  • Programming language
  • Mathematical analysis

Robert M. Kirby spends much of his time researching Algorithm, Discretization, Finite element method, Mathematical analysis and Mathematical optimization. Robert M. Kirby has researched Algorithm in several fields, including Triangle mesh, Geometry, Order statistic and Visualization, Data visualization. He has included themes like Partial differential equation, Spectral element method, Tikhonov regularization, Filter and Fluid dynamics in his Discretization study.

His work carried out in the field of Finite element method brings together such families of science as Computation, Solid geometry, CAD and Applied mathematics. His studies in Mathematical analysis integrate themes in fields like Discontinuous Galerkin method, Stability and Nonlinear system. His research in Mathematical optimization intersects with topics in Schur complement and Rank.

His most cited work include:

  • Nektar++: An open-source spectral/hp element framework ✩ (292 citations)
  • Parallel Scientific Computing in C++ and MPI: A Seamless Approach to Parallel Algorithms and their Implementation (155 citations)
  • Analysis-aware modeling: Understanding quality considerations in modeling for isogeometric analysis (145 citations)

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

His main research concerns Algorithm, Finite element method, Mathematical optimization, Discretization and Applied mathematics. In general Algorithm, his work in Computation is often linked to Gaussian process linking many areas of study. His Finite element method research is multidisciplinary, relying on both Visualization, Inverse problem, Computational science and Sensitivity.

His research integrates issues of Monte Carlo method, Polynomial chaos, Inverse and Discontinuous Galerkin method in his study of Mathematical optimization. His Discretization research is included under the broader classification of Mathematical analysis. He interconnects Numerical analysis, Partial differential equation and Interpolation in the investigation of issues within Applied mathematics.

He most often published in these fields:

  • Algorithm (25.55%)
  • Finite element method (20.19%)
  • Mathematical optimization (16.09%)

What were the highlights of his more recent work (between 2018-2021)?

  • Algorithm (25.55%)
  • Gaussian process (4.42%)
  • Applied mathematics (15.14%)

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

The scientist’s investigation covers issues in Algorithm, Gaussian process, Applied mathematics, Finite element method and Discretization. His Algorithm study integrates concerns from other disciplines, such as Autoregressive model and Nonlinear system. His Applied mathematics research integrates issues from Numerical analysis, Chebyshev polynomials, Probability measure and Discontinuous Galerkin method.

His study in Numerical analysis is interdisciplinary in nature, drawing from both Probability density function, Penalty method, Scalability and Partial differential equation. His Finite element method study incorporates themes from Filter and Classification of discontinuities, Topology. His Discretization research is multidisciplinary, incorporating elements of Grid, Eigenvalues and eigenvectors, Model order reduction and Dirichlet boundary condition.

Between 2018 and 2021, his most popular works were:

  • Nektar++: Enhancing the capability and application of high-fidelity spectral/hp element methods (27 citations)
  • Optimization of Large-Scale Vogel Spiral Arrays of Plasmonic Nanoparticles (10 citations)
  • Parametric topology optimization with multiresolution finite element models (9 citations)

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

  • Statistics
  • Programming language
  • Operating system

Robert M. Kirby mostly deals with Algorithm, Finite element method, Topology optimization, Gaussian process and Polygon mesh. The various areas that Robert M. Kirby examines in his Algorithm study include Visualization, Contrast, Classification of discontinuities and Nonlinear system. His research ties Partial differential equation and Finite element method together.

His Topology optimization research includes themes of Pareto distribution, Parametric statistics, Robustness and Topology. His Polygon mesh research is multidisciplinary, incorporating perspectives in Filter, Hyperbolic partial differential equation, Smoothness, Applied mathematics and Development. His Filter research incorporates themes from Enhanced Data Rates for GSM Evolution, Characteristic length, Focus, Point and Discontinuous Galerkin method.

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

Nektar++: An open-source spectral/hp element framework ✩

Chris D. Cantwell;David Moxey;A. Comerford;A. Bolis.
Computer Physics Communications (2015)

369 Citations

Parallel Scientific Computing in C++ and MPI: A Seamless Approach to Parallel Algorithms and their Implementation

George Em Karniadakis;Robert M. Kirby.
(2003)

352 Citations

Volumetric parameterization and trivariate B-spline fitting using harmonic functions

T. Martin;E. Cohen;R. M. Kirby.
Computer Aided Geometric Design (2009)

267 Citations

Visualizing multivalued data from 2D incompressible flows using concepts from painting

R. M. Kirby;H. Marmanis;David H. Laidlaw.
ieee visualization (1999)

255 Citations

Analysis-aware modeling: Understanding quality considerations in modeling for isogeometric analysis

E. Cohen;T. Martin;R. M. Kirby;T. Lyche.
Computer Methods in Applied Mechanics and Engineering (2010)

213 Citations

Comparing 2D vector field visualization methods: a user study

D.H. Laidlaw;R.M. Kirby;C.D. Jackson;J.S. Davidson.
IEEE Transactions on Visualization and Computer Graphics (2005)

191 Citations

Analysis and reduction of quadrature errors in the material point method (MPM)

Michael Steffen;Robert M. Kirby;Robert M. Kirby;Martin Berzins.
International Journal for Numerical Methods in Engineering (2008)

182 Citations

To CG or to HDG: A Comparative Study

Robert M. Kirby;Spencer J. Sherwin;Bernardo Cockburn.
Journal of Scientific Computing (2012)

180 Citations

From h to p efficiently: Implementing finite and spectral/hp element methods to achieve optimal performance for low- and high-order discretisations

Peter E. J. Vos;Spencer J. Sherwin;Robert M. Kirby.
Journal of Computational Physics (2010)

164 Citations

Contour Boxplots: A Method for Characterizing Uncertainty in Feature Sets from Simulation Ensembles

Ross T. Whitaker;Mahsa Mirzargar;Robert M. Kirby.
IEEE Transactions on Visualization and Computer Graphics (2013)

159 Citations

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