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
Mathematics D-index 31 Citations 5,990 103 World Ranking 2013 National Ranking 16

Overview

What is she best known for?

The fields of study she is best known for:

  • Mathematical analysis
  • Algebra
  • Finite element method

Finite element method, Mathematical analysis, Mixed finite element method, Eigenvalues and eigenvectors and Extended finite element method are her primary areas of study. Her Finite element method research includes themes of Immersed boundary method, Pure mathematics, Compatibility, Tetrahedron and Edge. When carried out as part of a general Mathematical analysis research project, her work on Discretization, Elliptic curve and Dirichlet problem is frequently linked to work in Compact operator, therefore connecting diverse disciplines of study.

In her work, Combinatorics, Space and Polynomial is strongly intertwined with Function space, which is a subfield of Mixed finite element method. Her research in Eigenvalues and eigenvectors intersects with topics in Applied mathematics, Elliptic operator, Linear equation and Hilbert space. Her Extended finite element method research is multidisciplinary, incorporating perspectives in Method of fundamental solutions, Smoothed finite element method, Boundary knot method and Quadrilateral.

Her most cited work include:

  • Mixed Finite Element Methods and Applications (689 citations)
  • Finite element approximation of eigenvalue problems (307 citations)
  • Computational Models of Electromagnetic Resonators: Analysis of Edge Element Approximation (178 citations)

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

Daniele Boffi focuses on Finite element method, Applied mathematics, Mathematical analysis, Eigenvalues and eigenvectors and Discretization. Specifically, her work in Finite element method is concerned with the study of Mixed finite element method. The study incorporates disciplines such as Function space and Extended finite element method in addition to Mixed finite element method.

In her study, Fluid–structure interaction and Uniqueness is inextricably linked to Partial differential equation, which falls within the broad field of Applied mathematics. Her work on Numerical approximation as part of general Mathematical analysis study is frequently linked to Rate of convergence, bridging the gap between disciplines. Her work on Eigenfunction as part of general Eigenvalues and eigenvectors research is often related to Least squares, thus linking different fields of science.

She most often published in these fields:

  • Finite element method (72.41%)
  • Applied mathematics (57.24%)
  • Mathematical analysis (46.21%)

What were the highlights of her more recent work (between 2017-2021)?

  • Applied mathematics (57.24%)
  • Eigenvalues and eigenvectors (48.97%)
  • Finite element method (72.41%)

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

Daniele Boffi mostly deals with Applied mathematics, Eigenvalues and eigenvectors, Finite element method, A priori and a posteriori and Partial differential equation. Her studies deal with areas such as Discretization, Fluid–structure interaction and Uniqueness as well as Applied mathematics. Daniele Boffi has included themes like Scheme, Numerical analysis, Group and Elliptic partial differential equation in her Eigenvalues and eigenvectors study.

Her Finite element method research incorporates elements of Space, Mathematical analysis, Fundamental solution and Laplace's equation. Her biological study focuses on Poisson's equation. Her Partial differential equation research incorporates elements of Numerical approximation, Parameter dependent and Scalar.

Between 2017 and 2021, her most popular works were:

  • Unified formulation and analysis of mixed and primal discontinuous skeletal methods on polytopal meshes (17 citations)
  • A Posteriori Error Estimates for Maxwell’s Eigenvalue Problem (8 citations)
  • Adaptive Finite Element Method for the Maxwell Eigenvalue Problem (5 citations)

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

  • Mathematical analysis
  • Algebra
  • Finite element method

Daniele Boffi mainly investigates Finite element method, Eigenvalues and eigenvectors, Applied mathematics, Numerical analysis and Mathematical analysis. The concepts of her Finite element method study are interwoven with issues in Lagrange multiplier and Computational mathematics. Her research in Eigenvalues and eigenvectors intersects with topics in Scheme, Edge, Residual and Maxwell's equations.

Her Applied mathematics study combines topics in areas such as Stability and Equivalence. In general Numerical analysis study, her work on Numerical approximation often relates to the realm of Theory of computation, thereby connecting several areas of interest. Her biological study spans a wide range of topics, including Element and Mixed finite element 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

Mixed Finite Element Methods and Applications

Daniele Boffi;Franco Brezzi;Michel Fortin.
(2013)

1473 Citations

Finite element approximation of eigenvalue problems

Daniele Boffi.
Acta Numerica (2010)

465 Citations

Approximation by quadrilateral finite elements

Douglas N. Arnold;Daniele Boffi;Richard S. Falk.
Mathematics of Computation (2002)

312 Citations

Quadrilateral H (div) Finite Elements

Douglas N. Arnold;Daniele Boffi;Richard S. Falk.
SIAM Journal on Numerical Analysis (2004)

275 Citations

Computational Models of Electromagnetic Resonators: Analysis of Edge Element Approximation

Daniele Boffi;Paolo Fernandes;Lucia Gastaldi;Ilaria Perugia.
SIAM Journal on Numerical Analysis (1999)

248 Citations

A finite element approach for the immersed boundary method

Daniele Boffi;Lucia Gastaldi.
Computers & Structures (2003)

202 Citations

Mixed Finite Elements, Compatibility Conditions, and Applications

Daniele Boffi;Franco Brezzi;Leszek F. Demkowicz;Ricardo G. Durán.
(2008)

189 Citations

On the problem of spurious eigenvalues in the approximation of linear elliptic problems in mixed form

Daniele Boffi;Franco Brezzi;Lucia Gastaldi.
Mathematics of Computation (2000)

173 Citations

Reduced symmetry elements in linear elasticity

Daniele Boffi;Franco Brezzi;Michel Fortin.
Communications on Pure and Applied Analysis (2008)

173 Citations

On the hyper-elastic formulation of the immersed boundary method

Daniele Boffi;Lucia Gastaldi;Luca Heltai;Charles S. Peskin.
Computer Methods in Applied Mechanics and Engineering (2008)

147 Citations

Editorial Boards

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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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