H-Index & Metrics Best Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mechanical and Aerospace Engineering D-index 33 Citations 6,848 77 World Ranking 924 National Ranking 6

Research.com Recognitions

Awards & Achievements

2004 - 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

His primary scientific interests are in Finite element method, Mathematical analysis, Boundary value problem, Mixed finite element method and Galerkin method. As a part of the same scientific family, Isaac Harari mostly works in the field of Finite element method, focusing on Applied mathematics and, on occasion, Calculus. His research integrates issues of Lagrange multiplier and Domain decomposition methods in his study of Mathematical analysis.

Isaac Harari combines subjects such as Computation and Boundary with his study of Boundary value problem. His Mixed finite element method research is multidisciplinary, incorporating perspectives in Numerical analysis, Extended finite element method and Boundary knot method. As a member of one scientific family, he mostly works in the field of Galerkin method, focusing on Discontinuous Galerkin method and, on occasion, Partial differential equation.

His most cited work include:

  • Multiple chamber integrated process system (1049 citations)
  • The Discontinuous Enrichment Method (322 citations)
  • Galerkin/least-squares finite element methods for the reduced wave equation with non-reflecting boundary conditions in unbounded domains (224 citations)

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

Isaac Harari mainly focuses on Finite element method, Mathematical analysis, Boundary value problem, Applied mathematics and Helmholtz equation. His studies deal with areas such as Geometry and Numerical analysis as well as Finite element method. His work carried out in the field of Mathematical analysis brings together such families of science as Dispersion, Lagrange multiplier and Boundary.

His Boundary value problem research is multidisciplinary, incorporating elements of Acoustics, Computation and Wavenumber. Isaac Harari usually deals with Applied mathematics and limits it to topics linked to Mathematical optimization and Spline. The concepts of his Helmholtz equation study are interwoven with issues in Dispersion, Series, Wave equation and Least squares.

He most often published in these fields:

  • Finite element method (58.04%)
  • Mathematical analysis (49.11%)
  • Boundary value problem (30.36%)

What were the highlights of his more recent work (between 2011-2020)?

  • Finite element method (58.04%)
  • Mathematical analysis (49.11%)
  • Applied mathematics (24.11%)

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

Isaac Harari mostly deals with Finite element method, Mathematical analysis, Applied mathematics, Extended finite element method and Structural engineering. His Finite element method study incorporates themes from Mechanics and Geometry. Inverse problem and Boundary value problem are among the areas of Mathematical analysis where the researcher is concentrating his efforts.

Isaac Harari has researched Boundary value problem in several fields, including Pointwise, Bilinear form and Scaling. His study on Applied mathematics also encompasses disciplines like

  • Discretization which is related to area like Galerkin method,
  • Boundary, Surface and Computation most often made with reference to Polygon mesh,
  • Algebraic number together with Linear system. Isaac Harari focuses mostly in the field of Extended finite element method, narrowing it down to topics relating to Strain energy and, in certain cases, Zero.

Between 2011 and 2020, his most popular works were:

  • The non-symmetric Nitsche method for the parameter-free imposition of weak boundary and coupling conditions in immersed finite elements (49 citations)
  • A robust Nitsche's formulation for interface problems with spline‐based finite elements (39 citations)
  • Combined continuum damage‐embedded discontinuity model for explicit dynamic fracture analyses of quasi‐brittle materials (24 citations)

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

  • Mathematical analysis
  • Partial differential equation
  • Finite element method

Finite element method, Mathematical analysis, Extended finite element method, Applied mathematics and Geometry are his primary areas of study. Particularly relevant to Constitutive equation is his body of work in Finite element method. His Mathematical analysis study combines topics from a wide range of disciplines, such as Bending of plates and Scaling.

His Extended finite element method research integrates issues from Spline, Mathematical optimization, Strain energy release rate and Strain energy. His work on Applied mathematics is being expanded to include thematically relevant topics such as Weighting. His studies in Geometry integrate themes in fields like Zero, Stress, Elasticity and Bending moment.

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

Multiple chamber integrated process system

Dan Maydan;Sasson Somekh;David Nin-Kou Wang;David Cheng.
(1987)

1673 Citations

The Discontinuous Enrichment Method

Charbel Farhat;Isaac Harari;Leopoldo P. Franca.
Computer Methods in Applied Mechanics and Engineering (2000)

474 Citations

Galerkin/least-squares finite element methods for the reduced wave equation with non-reflecting boundary conditions in unbounded domains

Isaac Harari;Thomas J. R. Hughes.
Applied Mechanics and Engineering (1992)

340 Citations

A discontinuous Galerkin method with Lagrange multipliers for the solution of Helmholtz problems in the mid-frequency regime

Charbel Farhat;Isaac Harari;Ulrich Hetmaniuk.
Computer Methods in Applied Mechanics and Engineering (2003)

306 Citations

Imposing Dirichlet boundary conditions with Nitsche's method and spline‐based finite elements

Anand Embar;John Dolbow;Isaac Harari.
International Journal for Numerical Methods in Engineering (2010)

270 Citations

An efficient finite element method for embedded interface problems

John Dolbow;Isaac Harari.
International Journal for Numerical Methods in Engineering (2009)

263 Citations

Finite element methods for the Helmholtz equation in an exterior domain: model problems

Isaac Harari;Thomas J. R. Hughes.
Applied Mechanics and Engineering (1991)

235 Citations

What are C and h ?: inequalities for the analysis and design of finite element methods

Isaac Harari;Thomas J. R. Hughes.
Applied Mechanics and Engineering (1992)

206 Citations

A survey of finite element methods for time-harmonic acoustics

Isaac Harari.
Computer Methods in Applied Mechanics and Engineering (2006)

189 Citations

Analysis of continuous formulations underlying the computation of time-harmonic acoustics in exterior domains

Isaac Harari;Thomas J. R. Hughes.
Applied Mechanics and Engineering (1992)

175 Citations

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