Charles M. Elliott

Publication Activity (10 Years)

Years Active: 2003-2024
Publications (10 Years): 15

Top Topics

Finite Element Methods

Diffusion Equation

Anisotropic Diffusion

Multiscale Analysis

Top Venues

SIAM J. Math. Anal.

Numerische Mathematik

Publications

Charles M. Elliott, Thomas Sales
A fully discrete evolving surface finite element method for the Cahn-Hilliard equation with a regular potential. CoRR (2024)
Diogo M. Caetano, Charles M. Elliott, Maurizio Grasselli, Andrea Poiatti
Regularization and Separation for Evolving Surface Cahn-Hilliard Equations. SIAM J. Math. Anal. 55 (6) (2023)
Charles M. Elliott, Thomas Ranner, P. Stepanov
Evolving finite elements for advection diffusion with an evolving interface. CoRR (2022)
Charles M. Elliott, Harald Garcke, Balázs Kovács
Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces. Numerische Mathematik 151 (4) (2022)
Charles M. Elliott, Harald Garcke, Balázs Kovács
Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces. CoRR (2022)
Oliver R. A. Dunbar, Charles M. Elliott, Lisa Maria Kreusser
Models for information propagation on graphs. CoRR (2022)
Oliver R. A. Dunbar, Matthew M. Dunlop, Charles M. Elliott, Viet Ha Hoang, Andrew M. Stuart
Reconciling Bayesian and Perimeter Regularization for Binary Inversion. SIAM J. Sci. Comput. 42 (4) (2020)
Charles M. Elliott, Philip J. Herbert
Second order splitting of a class of fourth order PDEs with point constraints. Math. Comput. 89 (326) (2020)
Lewis Church, Ana Djurdjevac, Charles M. Elliott
A domain mapping approach for elliptic equations posed on random bulk and surface domains. Numerische Mathematik 146 (1) (2020)
Klaus Deckelnick, Charles M. Elliott, Tatsu-Hiko Miura, Vanessa Styles
Hamilton-Jacobi equations on an evolving surface. Math. Comput. 88 (320) (2019)
Charles M. Elliott, Hans Fritz, Graham Hobbs
Second order splitting for a class of fourth order equations. Math. Comput. 88 (320) (2019)
Charles M. Elliott, Philip J. Herbert
Second order splitting of a class of fourth order PDEs with point constraints. CoRR (2019)
Ana Djurdjevac, Charles M. Elliott, Ralf Kornhuber, Thomas Ranner
Evolving Surface Finite Element Methods for Random Advection-Diffusion Equations. SIAM/ASA J. Uncertain. Quantification 6 (4) (2018)
Amal Alphonse, Charles M. Elliott, Joana Terra
A Coupled Ligand-Receptor Bulk-Surface System on a Moving Domain: Well Posedness, Regularity, and Convergence to Equilibrium. SIAM J. Math. Anal. 50 (2) (2018)
Charles M. Elliott, Thomas Ranner, Chandrasekhar Venkataraman
Coupled Bulk-Surface Free Boundary Problems Arising from a Mathematical Model of Receptor-Ligand Dynamics. SIAM J. Math. Anal. 49 (1) (2017)
Charles M. Elliott, Hans Fritz
Time-Periodic Solutions of Advection-Diffusion Equations on Moving Hypersurfaces. SIAM J. Math. Anal. 47 (3) (2015)
Charles M. Elliott, Thomas Ranner
Evolving surface finite element method for the Cahn-Hilliard equation. Numerische Mathematik 129 (3) (2015)
Andrew B. Duncan, Charles M. Elliott, Grigorios A. Pavliotis, Andrew M. Stuart
A Multiscale Analysis of Diffusions on Rapidly Varying Surfaces. J. Nonlinear Sci. 25 (2) (2015)
Klaus Deckelnick, Charles M. Elliott, Thomas Ranner
Unfitted Finite Element Methods Using Bulk Meshes for Surface Partial Differential Equations. SIAM J. Numer. Anal. 52 (4) (2014)
Gerhard Dziuk, Charles M. Elliott
-estimates for the evolving surface finite element method. Math. Comput. 82 (281) (2013)
Gerhard Dziuk, Charles M. Elliott
Finite element methods for surface PDEs. Acta Numer. 22 (2013)
Gerhard Dziuk, Charles M. Elliott
A Fully Discrete Evolving Surface Finite Element Method. SIAM J. Numer. Anal. 50 (5) (2012)
Klaus Deckelnick, Charles M. Elliott, Vanessa Styles
Numerical analysis of an inverse problem for the eikonal equation. Numerische Mathematik 119 (2) (2011)
Gerhard Dziuk, Charles M. Elliott
An Eulerian approach to transport and diffusion on evolving implicit surfaces. Comput. Vis. Sci. 13 (1) (2010)
Charles M. Elliott, Björn Stinner
Modeling and computation of two phase geometric biomembranes using surface finite elements. J. Comput. Phys. 229 (18) (2010)
Charles M. Elliott, Björn Stinner
A Surface Phase Field Model for Two-Phase Biological Membranes. SIAM J. Appl. Math. 70 (8) (2010)
Klaus Deckelnick, Charles M. Elliott, Vanessa Styles
Optimal Control of the Propagation of a Graph in Inhomogeneous Media. SIAM J. Control. Optim. 48 (3) (2009)
Carsten Eilks, Charles M. Elliott
Numerical simulation of dealloying by surface dissolution via the evolving surface finite element method. J. Comput. Phys. 227 (23) (2008)
Klaus Deckelnick, Gerhard Dziuk, Charles M. Elliott
Fully Discrete Finite Element Approximation for Anisotropic Surface Diffusion of Graphs. SIAM J. Numer. Anal. 43 (3) (2005)
Charles M. Elliott, David Kay, Vanessa Styles
A Finite Element Approximation of a Variational Inequality Formulation of Bean's Model for Superconductivity. SIAM J. Numer. Anal. 42 (3) (2004)
Charles M. Elliott, Yoshikazu Giga, Shun'ichi Goto
Dynamic Boundary Conditions for Hamilton-Jacobi Equations. SIAM J. Math. Anal. 34 (4) (2003)
Klaus Deckelnick, Gerhard Dziuk, Charles M. Elliott
Error Analysis of a Semidiscrete Numerical Scheme for Diffusion in Axially Symmetric Surfaces. SIAM J. Numer. Anal. 41 (6) (2003)