World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
56
Citations
13421
World Ranking
728
National Ranking
53

Engineering and Technology

D-Index
54
Citations
13097
World Ranking
3137
National Ranking
203

Research.com Recognitions

  • 2015 - SIAM Fellow For contributions to the numerical analysis of nonlinear partial differential equations.
  • 1990 - SPIE Fellow
  • 1988 - Fellow of the Royal Society, United Kingdom

Overview

Charles M. Elliott is affiliated with the University of Warwick in the United Kingdom. Their research spans a variety of topics primarily within computer science, with a focus on computational theory and mathematics.

Their recent publications include the following papers:

  • Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces, 2022, published in Numerische Mathematik
  • Small deformations of spherical biomembranes, 2020, published in Advanced Studies in Pure Mathematics
  • Navier-Stokes-Cahn-Hilliard equations on evolving surfaces, 2024, published in Interfaces and Free Boundaries Mathematical Analysis Computation and Applications

Frequent coauthors with whom Charles M. Elliott has collaborated extensively include:

  • Diogo Caetano
  • Thomas Sales
  • Harald Garcke
  • Luke Hatcher
  • Ana Djurdjevac

The main publication venues for their work encompass diverse journals and repositories, evidencing a broad engagement across applied mathematics and computational fields:

  • arXiv (Cornell University)
  • Numerische Mathematik
  • Interfaces and Free Boundaries Mathematical Analysis Computation and Applications
  • European Journal of Applied Mathematics
  • Oberwolfach Reports

Charles M. Elliott's primary fields of study are in computer science, with subfields including:

  • Computational Theory and Mathematics
  • Materials Chemistry
  • Computational Mechanics
  • Cell Biology
  • Applied Mathematics

The scientist's work addresses a range of research topics related to advanced mathematical and computational models:

  • Advanced Mathematical Modeling in Engineering
  • Solidification and crystal growth phenomena
  • Advanced Numerical Methods in Computational Mathematics
  • Lipid Membrane Structure and Behavior
  • Differential Equations and Numerical Methods
  • Nonlinear Partial Differential Equations
  • Aquatic and Environmental Studies

Among significant recognitions, Charles M. Elliott has received several fellowships:

  • SIAM Fellow (2015) for contributions to the numerical analysis of nonlinear partial differential equations
  • SPIE Fellow (1990)
  • Fellow of the Royal Society, United Kingdom (1988)

Best Publications

  • Weak and variational methods for moving boundary problems

    Charles M. Elliott;J. R Ockendon

  • On the Cahn-Hilliard equation

    Charles M. Elliott;Zheng Songmu

  • Finite element methods for surface PDEs

    Gerhard Dziuk;Charles M. Elliott

  • On the Cahn-Hilliard equation with degenerate mobility

    Charles M. Elliott;Harald Garcke

  • Computation of geometric partial differential equations and mean curvature flow

    Klaus Deckelnick;Gerhard Dziuk;Charles M. Elliott

  • Finite elements on evolving surfaces

    G. Dziuk;C. M. Elliott

  • The global dynamics of discrete semilinear parabolic equations

    C. M. Elliott;A. M. Stuart

  • The Cahn–Hilliard equation with a concentration dependent mobility: motion by minus the Laplacian of the mean curvature

    J. W. Cahn;C. M. Elliott;A. Novick-Cohen

  • The Cahn-Hilliard Model for the Kinetics of Phase Separation

    C. M. Elliott

  • Numerical Studies of the Cahn-Hilliard Equation for Phase Separation

    Charles M. Elliott;Donald A. French

  • A second order splitting method for the Cahn-Hilliard equation

    C. M. Elliott;D. A. French;F. A. Milner

  • The Cahn–Hilliard gradient theory for phase separation with non-smooth free energy Part II: Numerical analysis

    J. F. Blowey;C. M. Elliott

  • Numerical analysis of the Cahn-Hilliard equation with a logarithmic free energy

    M. I. Copetti;C. M. Elliott

  • Error estimates with smooth and nonsmooth data for a finite element method for the Cahn-Hilliard equation

    Charles M. Elliott;Stig Larsson

  • Spinodal decomposition in Fe-Cr alloys: Experimental study at the atomic level and comparison with computer models—I. Introduction and methodology

    M.K. Miller;J.M. Hyde;M.G. Hetherington;A. Cerezo

  • SURFACE FINITE ELEMENTS FOR PARABOLIC EQUATIONS

    G. Dziuk;C. M. Elliott

  • Fitted and Unfitted Finite-Element Methods for Elliptic Equations with Smooth Interfaces

    John W. Barrett;Charles M. Elliott

  • Modeling and computation of two phase geometric biomembranes using surface finite elements

    Charles M. Elliott;Björn Stinner

  • A variational inequality approach to Hele-Shaw flow with a moving boundary

    C. M. Elliott;V. Janovský

  • A nonconforming finite-element method for the two-dimensional Cahn-Hilliard equation

    Charles M. Elliott;Donald A. French

Frequent Co-Authors

John W. Barrett
John W. Barrett University of Nottingham
Andrew M. Stuart
Andrew M. Stuart California Institute of Technology
Yoshikazu Giga
Yoshikazu Giga University of Tokyo
Avner Friedman
Avner Friedman The Ohio State University
Xinfu Chen
Xinfu Chen University of Pittsburgh
Michael K Miller
Michael K Miller Oak Ridge National Laboratory
Stig Larsson
Stig Larsson Chalmers University of Technology
Harald Garcke
Harald Garcke University of Regensburg
Michael Hinze
Michael Hinze University of Koblenz and Landau
Paul C. Fife
Paul C. Fife University of Utah

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