Charles M. Elliott

Orcid: 0000-0002-6924-4455

According to our database1, Charles M. Elliott authored at least 29 papers between 2003 and 2023.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2023
Regularization and Separation for Evolving Surface Cahn-Hilliard Equations.
SIAM J. Math. Anal., December, 2023

2022
Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces.
Numerische Mathematik, 2022

Evolving finite elements for advection diffusion with an evolving interface.
CoRR, 2022

Models for information propagation on graphs.
CoRR, 2022

2020
Reconciling Bayesian and Perimeter Regularization for Binary Inversion.
SIAM J. Sci. Comput., 2020

A domain mapping approach for elliptic equations posed on random bulk and surface domains.
Numerische Mathematik, 2020

Second order splitting of a class of fourth order PDEs with point constraints.
Math. Comput., 2020

2019
Second order splitting for a class of fourth order equations.
Math. Comput., 2019

Hamilton-Jacobi equations on an evolving surface.
Math. Comput., 2019

2018
A Coupled Ligand-Receptor Bulk-Surface System on a Moving Domain: Well Posedness, Regularity, and Convergence to Equilibrium.
SIAM J. Math. Anal., 2018

Evolving Surface Finite Element Methods for Random Advection-Diffusion Equations.
SIAM/ASA J. Uncertain. Quantification, 2018

2017
Coupled Bulk-Surface Free Boundary Problems Arising from a Mathematical Model of Receptor-Ligand Dynamics.
SIAM J. Math. Anal., 2017

2015
Time-Periodic Solutions of Advection-Diffusion Equations on Moving Hypersurfaces.
SIAM J. Math. Anal., 2015

Evolving surface finite element method for the Cahn-Hilliard equation.
Numerische Mathematik, 2015

A Multiscale Analysis of Diffusions on Rapidly Varying Surfaces.
J. Nonlinear Sci., 2015

2014
Unfitted Finite Element Methods Using Bulk Meshes for Surface Partial Differential Equations.
SIAM J. Numer. Anal., 2014

2013
L<sup>2</sup>-estimates for the evolving surface finite element method.
Math. Comput., 2013

Finite element methods for surface PDEs.
Acta Numer., 2013

2012
A Fully Discrete Evolving Surface Finite Element Method.
SIAM J. Numer. Anal., 2012

2011
Numerical analysis of an inverse problem for the eikonal equation.
Numerische Mathematik, 2011

2010
A Surface Phase Field Model for Two-Phase Biological Membranes.
SIAM J. Appl. Math., 2010

Modeling and computation of two phase geometric biomembranes using surface finite elements.
J. Comput. Phys., 2010

An Eulerian approach to transport and diffusion on evolving implicit surfaces.
Comput. Vis. Sci., 2010

2009
Optimal Control of the Propagation of a Graph in Inhomogeneous Media.
SIAM J. Control. Optim., 2009

2008
Numerical simulation of dealloying by surface dissolution via the evolving surface finite element method.
J. Comput. Phys., 2008

2005
Fully Discrete Finite Element Approximation for Anisotropic Surface Diffusion of Graphs.
SIAM J. Numer. Anal., 2005

2004
A Finite Element Approximation of a Variational Inequality Formulation of Bean's Model for Superconductivity.
SIAM J. Numer. Anal., 2004

2003
Error Analysis of a Semidiscrete Numerical Scheme for Diffusion in Axially Symmetric Surfaces.
SIAM J. Numer. Anal., 2003

Dynamic Boundary Conditions for Hamilton-Jacobi Equations.
SIAM J. Math. Anal., 2003


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