What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Quantum mechanics
- Partial differential equation
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.
His most cited work include:
- On the Cahn-Hilliard equation (456 citations)
- Weak and variational methods for moving boundary problems (381 citations)
- Finite element methods for surface PDEs (370 citations)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Mathematical analysis (58.38%)
- Finite element method (34.59%)
- Surface (24.32%)
What were the highlights of his more recent work (between 2016-2021)?
- Surface (24.32%)
- Applied mathematics (16.76%)
- Discretization (11.89%)
In recent papers he was focusing on the following fields of study:
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.
Between 2016 and 2021, his most popular works were:
- Small deformations of Helfrich energy minimising surfaces with applications to biomembranes (15 citations)
- Coupled bulk-surface free boundary problems arising from a mathematical model of receptor-ligand dynamics (15 citations)
- A coupled ligand-receptor bulk-surface system on a moving domain : well posedness, regularity and convergence to equilibrium (10 citations)
In his most recent research, the most cited papers focused on:
- Quantum mechanics
- Mathematical analysis
- Partial differential 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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