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
His scientific interests lie mostly in Mathematical analysis, Finite element method, Cahn–Hilliard equation, Numerical analysis and Partial differential equation. His Mathematical analysis study combines topics in areas such as Mean curvature and Geometry. His Finite element method research includes themes of Discretization, Surface, Attractor and Kinetics.
His study in Surface is interdisciplinary in nature, drawing from both Conservation law, Mechanics and Simulation. His Cahn–Hilliard equation research includes elements of Conservation of mass, Perturbation, Galerkin method, Backward Euler method and Space. His Numerical analysis research integrates issues from Iterative method, Uniqueness and Extended finite element method.
Charles M. Elliott spends much of his time researching Mathematical analysis, Finite element method, Surface, Numerical analysis and Applied mathematics. His work on Mathematical analysis deals in particular with Partial differential equation, Uniqueness, Free boundary problem, Boundary value problem and Cahn–Hilliard equation. His research integrates issues of Discretization, Variational inequality and Geometry in his study of Finite element method.
His research investigates the connection between Surface and topics such as Domain that intersect with issues in Hilbert space. His Numerical analysis research focuses on Statistical physics and how it relates to Superconductivity. His Applied mathematics study incorporates themes from Class, Elliptic partial differential equation, Dirichlet distribution and Regularization.
Surface, Applied mathematics, Discretization, Mathematical analysis and Finite element method are his primary areas of study. The concepts of his Surface study are interwoven with issues in Space, Uniqueness and Domain. His Applied mathematics research is multidisciplinary, incorporating perspectives in Logarithm, Elliptic partial differential equation and Energy functional.
The Discretization study combines topics in areas such as Regularization, Computation and Torus. Charles M. Elliott has included themes like Geodesic curvature and Phase in his Mathematical analysis study. His biological study spans a wide range of topics, including Inverse problem, Finite difference, Boundary value problem, Optimization problem and Eikonal equation.
The scientist’s investigation covers issues in Surface, Uniqueness, Mathematical analysis, Applied mathematics and Discretization. His Surface research incorporates themes from Classical mechanics, Field, Finite element method and Domain. Charles M. Elliott has researched Finite element method in several fields, including Unified field theory, Numerical analysis, Function space and Bilinear form.
Mathematical analysis is a component of his Parabolic partial differential equation and Partial differential equation studies. His research in Applied mathematics intersects with topics in Hypersurface, Monotone polygon, Elliptic partial differential equation and Approximation theory. His studies deal with areas such as Deformation, Computation, Torus and Finite volume method as well as Discretization.
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Weak and variational methods for moving boundary problems
Charles M. Elliott;J. R Ockendon.
On the Cahn-Hilliard equation
Charles M. Elliott;Zheng Songmu.
Archive for Rational Mechanics and Analysis (1986)
On the Cahn-Hilliard equation with degenerate mobility
Charles M. Elliott;Harald Garcke.
Siam Journal on Mathematical Analysis (1996)
Finite element methods for surface PDEs
Gerhard Dziuk;Charles M. Elliott.
Acta Numerica (2013)
Computation of geometric partial differential equations and mean curvature flow
Klaus Deckelnick;Gerhard Dziuk;Charles M Elliott.
Acta Numerica (2005)
Finite elements on evolving surfaces
G. Dziuk;C. M. Elliott.
Ima Journal of Numerical Analysis (2007)
The Cahn-Hilliard Model for the Kinetics of Phase Separation
C. M. Elliott.
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.
European Journal of Applied Mathematics (1996)
Numerical Studies of the Cahn-Hilliard Equation for Phase Separation
Charles M. Elliott;Donald A. French.
Ima Journal of Applied Mathematics (1987)
The Cahn–Hilliard gradient theory for phase separation with non-smooth free energy Part II: Numerical analysis
J. F. Blowey;C. M. Elliott.
European Journal of Applied Mathematics (1991)
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