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D-Index & Metrics

Mathematics

D-Index
63
Citations
13772
World Ranking
442
National Ranking
230

Mechanical and Aerospace Engineering

D-Index
63
Citations
13641
World Ranking
577
National Ranking
259

Research.com Recognitions

  • 2009 - THE J. TINSLEY ODEN MEDAL For pioneering work in both the theory and implementation of hp-Finite Element Methods, its application to numerous areas of computational mechanics, and in particular to computational electromagnetics
  • 2002 - Fellow of the International Association for Computational Mechanics (IACM)

Overview

Leszek Demkowicz is affiliated with The University of Texas at Austin in the United States. Their research primarily spans the field of engineering, with notable contributions in several subfields related to computational and numerical methods.

The main fields of study include:

  • Engineering

Key subfields of study encompassing Demkowicz's work are:

  • Computational Mechanics
  • Electrical and Electronic Engineering
  • Mechanics of Materials
  • Numerical Analysis
  • Computational Theory and Mathematics

The scientist's research topics focus on computational and numerical advancements, particularly:

  • Advanced Numerical Methods in Computational Mathematics
  • Electromagnetic Simulation and Numerical Methods
  • Numerical methods in engineering
  • Advanced Mathematical Modeling in Engineering
  • Numerical methods for differential equations
  • Electromagnetic Scattering and Analysis
  • Advanced Numerical Analysis Techniques

Leszek Demkowicz has published extensively, with several recent papers including:

  • The DPG-star method, 2020, Computers & Mathematics with Applications
  • The double adaptivity paradigm, 2020, Computers & Mathematics with Applications
  • Construction of DPG Fortin operators revisited, 2020, Computers & Mathematics with Applications
  • A DPG-based time-marching scheme for linear hyperbolic problems, 2020, Computer Methods in Applied Mechanics and Engineering
  • A numerical study of the pollution error and DPG adaptivity for long waveguide simulations, 2020, Computers & Mathematics with Applications

Frequent co-authors collaborating with Demkowicz include:

  • Stefan Henneking
  • Judit Muñoz-Matute
  • Jacob Grosek
  • Jacob Badger
  • Socratis Petrides

The primary venues for Demkowicz's publications are:

  • Computers & Mathematics with Applications
  • arXiv (Cornell University)
  • Computer Methods in Applied Mechanics and Engineering
  • Journal of Computational Physics
  • Finite Elements in Analysis and Design

Leszek Demkowicz has also contributed book publications, including a title published by the Society for Industrial and Applied Mathematics:

  • Mathematical Theory of Finite Elements, 2023

Awards received by Demkowicz include:

  • THE J. TINSLEY ODEN MEDAL, 2009, for pioneering work in both the theory and implementation of hp-Finite Element Methods and its applications in computational mechanics and electromagnetics
  • Fellow of the International Association for Computational Mechanics (IACM), 2002

Best Publications

  • Computing with hp-ADAPTIVE FINITE ELEMENTS : Volume 1 One and Two Dimensional Elliptic and Maxwell Problems

    Leszek Demkowicz

  • Toward a universal h-p adaptive finite element strategy, part 1. Constrained approximation and data structure

    L. Demkowicz;J.T. Oden;W. Rachowicz;O. Hardy

  • Toward a universal h-p adaptive finite element strategy, part 2. A posteriori error estimation

    J.T. Oden;L. Demkowicz;W. Rachowicz;T.A. Westermann

  • Applied functional analysis

    J. Tinsley Oden;Leszek F. Demkowicz

  • Computing with hp-ADAPTIVE FINITE ELEMENTS: Volume II Frontiers: Three Dimensional Elliptic and Maxwell Problems with Applications

    Leszek Demkowicz;Jason Kurtz;David Pardo;Maciej Paszynski

  • A class of discontinuous Petrov–Galerkin methods. II. Optimal test functions

    Leszek Demkowicz;Jay Gopalakrishnan

  • A Class of Discontinuous Petrov–Galerkin Methods. Part I: The Transport Equation

    Leszek Demkowicz;Jay Gopalakrishnan

  • Toward a universal h-p adaptive finite element strategy part 3. design of h-p meshes

    W. Rachowicz;J.T. Oden;L. Demkowicz

  • A Fully Automatic hp -Adaptivity

    L. Demkowicz;W. Rachowicz;Ph. Devloo

  • A class of discontinuous Petrov-Galerkin methods. Part III

    Leszek Demkowicz;Jay Gopalakrishnan;Antti H. Niemi

  • Mixed Finite Elements, Compatibility Conditions, and Applications

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

  • Modeling of electromagnetic absorption/scattering problems using hp-adaptive finite elements

    Leszek F Demkowicz;L. Vardapetyan

  • Breaking spaces and forms for the DPG method and applications including Maxwell equations

    C. Carstensen;L. Demkowicz;J. Gopalakrishnan

  • A class of discontinuous Petrov-Galerkin methods. Part IV: The optimal test norm and time-harmonic wave propagation in 1D

    J. Zitelli;I. Muga;L. Demkowicz;J. Gopalakrishnan

  • On an h-type mesh-refinement strategy based on minimization of interpolation errors☆

    Leszek F Demkowicz;Ph Devloo;J T Oden

  • De Rham diagram for hp finite element spaces

    L. Demkowicz;P. Monk;L. Vardapetyan;W. Rachowicz

  • Analysis of the DPG Method for the Poisson Equation

    L. Demkowicz;J. Gopalakrishnan

  • An adaptive characteristic Petrov-Galerkin finite element method for convection-dominated linear and nonlinear parabolic problems in one space variable

    L Demkowicz;J T Oden

  • H1, H(curl) and H(div)-conforming projection-based interpolation in three dimensionsQuasi-optimal p-interpolation estimates

    L. Demkowicz;Annalisa Buffa

  • Goal-oriented hp-adaptivity for elliptic problems

    P. Šolı́n;L. Demkowicz

  • Frontiers : three dimensional elliptic and Maxwell problems with applications

    Leszek Demkowicz

  • One and two dimensional elliptic and Maxwell problems

    Leszek Demkowicz

Frequent Co-Authors

J. T. Oden
J. T. Oden The University of Texas at Austin
Carlos Torres-Verdín
Carlos Torres-Verdín The University of Texas at Austin
Ivo Babuška
Ivo Babuška The University of Texas at Austin
Martin Costabel
Martin Costabel University of Rennes
Monique Dauge
Monique Dauge University of Rennes
James C. Browne
James C. Browne The University of Texas at Austin
Chandrajit L. Bajaj
Chandrajit L. Bajaj The University of Texas at Austin
Daniele Boffi
Daniele Boffi King Abdullah University of Science and Technology
Carsten Carstensen
Carsten Carstensen Humboldt-Universität zu Berlin
Omar Ghattas
Omar Ghattas The University of Texas at Austin

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