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 33 Citations 6,750 124 World Ranking 955 National Ranking 7

Research.com Recognitions

Awards & Achievements

2008 - 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:

  • Mathematical analysis
  • Finite element method
  • Partial differential equation

Dan Givoli spends much of his time researching Boundary value problem, Mathematical analysis, Finite element method, Mixed boundary condition and Boundary. His studies deal with areas such as Boundary knot method, Finite difference, Uniqueness, Discretization and Domain as well as Boundary value problem. He works mostly in the field of Boundary knot method, limiting it down to concerns involving Neumann boundary condition and, occasionally, Singular boundary method.

The concepts of his Mathematical analysis study are interwoven with issues in Isotropy, Wavenumber and Anisotropy. His research integrates issues of Helmholtz equation, Finite difference method, Wave equation and Dirichlet distribution in his study of Finite element method. His Boundary research is multidisciplinary, incorporating perspectives in Mechanics and Klein–Gordon equation.

His most cited work include:

  • Non-reflecting boundary conditions (582 citations)
  • Exact non-reflecting boundary conditions (519 citations)
  • High-order local non-reflecting boundary conditions: a review☆ (338 citations)

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

Dan Givoli mainly focuses on Mathematical analysis, Finite element method, Boundary value problem, Boundary and Discretization. His Mathematical analysis study incorporates themes from Nonlinear system and Boundary knot method. The study incorporates disciplines such as Algorithm, Geometry and Numerical analysis in addition to Finite element method.

His work carried out in the field of Boundary value problem brings together such families of science as Finite difference, Finite difference method and Domain. He has included themes like System of linear equations, Helmholtz equation, Order of accuracy and Acoustic wave in his Boundary study. In his research, Free boundary problem is intimately related to Singular boundary method, which falls under the overarching field of Mixed boundary condition.

He most often published in these fields:

  • Mathematical analysis (60.00%)
  • Finite element method (55.15%)
  • Boundary value problem (41.82%)

What were the highlights of his more recent work (between 2011-2021)?

  • Mathematical analysis (60.00%)
  • Finite element method (55.15%)
  • Inverse problem (8.48%)

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

His primary scientific interests are in Mathematical analysis, Finite element method, Inverse problem, Boundary and Wave equation. His specific area of interest is Mathematical analysis, where Dan Givoli studies Boundary value problem. His studies in Boundary value problem integrate themes in fields like Isotropy, Finite difference, Linear elasticity and Domain.

His work deals with themes such as Discretization, Thermal conduction and Mathematical optimization, which intersect with Finite element method. His Inverse problem research also works with subjects such as

  • Algorithm, which have a strong connection to Maxima and minima,
  • Scalar field that intertwine with fields like Noise. The Wave equation study combines topics in areas such as Acoustic wave equation and Convection.

Between 2011 and 2021, his most popular works were:

  • The Double Absorbing Boundary method (40 citations)
  • Long-time stable high-order absorbing boundary conditions for elastodynamics (36 citations)
  • Time Reversal as a Computational Tool in Acoustics and Elastodynamics (22 citations)

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

Non-reflecting boundary conditions

Dan Givoli.
Journal of Computational Physics (1991)

950 Citations

Exact non-reflecting boundary conditions

Joseph B. Keller;Dan Givoli.
Journal of Computational Physics (1989)

810 Citations

High-order local non-reflecting boundary conditions: a review☆

Dan Givoli.
Wave Motion (2004)

565 Citations

High-order non-reflecting boundary scheme for time-dependent waves

Dan Givoli;Beny Neta.
Journal of Computational Physics (2003)

269 Citations

Natural Boundary Integral Method and Its Applications

De-hao Yu;D Givoli.
(2002)

255 Citations

A finite element method for large domains

D. Givoli;J. B. Keller.
Applied Mechanics and Engineering (1989)

255 Citations

Non-reflecting boundary conditions for elastic waves

Dan Givoli;Joseph B. Keller.
Wave Motion (1990)

250 Citations

Recent advances in the DtN FE Method

Dan Givoli.
Archives of Computational Methods in Engineering (1999)

188 Citations

High-order local absorbing conditions for the wave equation: Extensions and improvements

Thomas Hagstrom;Assaf Mar-Or;Dan Givoli.
Journal of Computational Physics (2008)

180 Citations

Exact Representations on Artificial Interfaces and Applications in Mechanics

Dan Givoli.
Applied Mechanics Reviews (1999)

122 Citations

Editorial Boards

Wave Motion
(Impact Factor: 2.174)

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Patrick Joly

École Nationale Supérieure de Techniques Avancées

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Chad M. Landis

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