Charles M. Elliott

38 papers Journal 38
YearRankTypeTitle / Venue / Authors
2026 J jnl
An iterative approach to a fluid-rigid body interaction problem.
CoRR
Charles M. Elliott, Thomas Sales
2025 J jnl
A Fully Discrete Surface Finite Element Method for the Navier-Stokes equations on Evolving Surfaces with prescribed Normal Velocity.
CoRR
Charles M. Elliott, Achilleas Mavrakis
2025 J jnl
A fully discrete evolving surface finite element method for the Cahn-Hilliard equation with a regular potential.
Numerische Mathematik
Charles M. Elliott, Thomas Sales
2025 J jnl
Unsteady Navier-Stokes Equations On A Stationary Surface.
CoRR
Charles M. Elliott, Achilleas Mavrakis
2024 J jnl
A fully discrete evolving surface finite element method for the Cahn-Hilliard equation with a regular potential.
CoRR
Charles M. Elliott, Thomas Sales
2024 J jnl
An evolving surface finite element method for the Cahn-Hilliard equation with a logarithmic potential.
CoRR
Charles M. Elliott, Thomas Sales
2024 J jnl
SFEM for the Lagrangian formulation of the surface Stokes problem.
CoRR
Charles M. Elliott, Achilleas Mavrakis
2023 J jnl
Regularization and Separation for Evolving Surface Cahn-Hilliard Equations.
SIAM J. Math. Anal.
Diogo Miguel Caetano, Charles M. Elliott, Maurizio Grasselli, Andrea Poiatti
2022 J jnl
Evolving finite elements for advection diffusion with an evolving interface.
CoRR
Charles M. Elliott, Thomas Ranner, P. Stepanov
2022 J jnl
Models for information propagation on graphs.
CoRR
Oliver R. A. Dunbar, Charles M. Elliott, Lisa Maria Kreusser
2022 J jnl
Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces.
CoRR
Charles M. Elliott, Harald Garcke, Balázs Kovács
2022 J jnl
Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces.
Numerische Mathematik
Charles M. Elliott, Harald Garcke, Balázs Kovács
2020 J jnl
A domain mapping approach for elliptic equations posed on random bulk and surface domains.
Numerische Mathematik
Lewis Church, Ana Djurdjevac, Charles M. Elliott
2020 J jnl
Reconciling Bayesian and Perimeter Regularization for Binary Inversion.
SIAM J. Sci. Comput.
Oliver R. A. Dunbar, Matthew M. Dunlop, Charles M. Elliott, Viet Ha Hoang, Andrew M. Stuart
2020 J jnl
Second order splitting of a class of fourth order PDEs with point constraints.
Math. Comput.
Charles M. Elliott, Philip J. Herbert
2019 J jnl
Hamilton-Jacobi equations on an evolving surface.
Math. Comput.
Klaus Deckelnick, Charles M. Elliott, Tatsu-Hiko Miura, Vanessa Styles
2019 J jnl
Second order splitting for a class of fourth order equations.
Math. Comput.
Charles M. Elliott, Hans Fritz, Graham Hobbs
2019 J jnl
Second order splitting of a class of fourth order PDEs with point constraints.
CoRR
Charles M. Elliott, Philip J. Herbert
2018 J jnl
A Coupled Ligand-Receptor Bulk-Surface System on a Moving Domain: Well Posedness, Regularity, and Convergence to Equilibrium.
SIAM J. Math. Anal.
Amal Alphonse, Charles M. Elliott, Joana Terra
2018 J jnl
Evolving Surface Finite Element Methods for Random Advection-Diffusion Equations.
SIAM/ASA J. Uncertain. Quantification
Ana Djurdjevac, Charles M. Elliott, Ralf Kornhuber, Thomas Ranner
2017 J jnl
Coupled Bulk-Surface Free Boundary Problems Arising from a Mathematical Model of Receptor-Ligand Dynamics.
SIAM J. Math. Anal.
Charles M. Elliott, Thomas Ranner, Chandrasekhar Venkataraman
2015 J jnl
A Multiscale Analysis of Diffusions on Rapidly Varying Surfaces.
J. Nonlinear Sci.
Andrew B. Duncan, Charles M. Elliott, Grigorios A. Pavliotis, Andrew M. Stuart
2015 J jnl
Evolving surface finite element method for the Cahn-Hilliard equation.
Numerische Mathematik
Charles M. Elliott, Thomas Ranner
2015 J jnl
Time-Periodic Solutions of Advection-Diffusion Equations on Moving Hypersurfaces.
SIAM J. Math. Anal.
Charles M. Elliott, Hans Fritz
2014 J jnl
Unfitted Finite Element Methods Using Bulk Meshes for Surface Partial Differential Equations.
SIAM J. Numer. Anal.
Klaus Deckelnick, Charles M. Elliott, Thomas Ranner
2013 J jnl
Finite element methods for surface PDEs.
Acta Numer.
Gerhard Dziuk, Charles M. Elliott
2013 J jnl
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Math. Comput.
Gerhard Dziuk, Charles M. Elliott
2012 J jnl
A Fully Discrete Evolving Surface Finite Element Method.
SIAM J. Numer. Anal.
Gerhard Dziuk, Charles M. Elliott
2011 J jnl
Numerical analysis of an inverse problem for the eikonal equation.
Numerische Mathematik
Klaus Deckelnick, Charles M. Elliott, Vanessa Styles
2010 J jnl
A Surface Phase Field Model for Two-Phase Biological Membranes.
SIAM J. Appl. Math.
Charles M. Elliott, Björn Stinner
2010 J jnl
An Eulerian approach to transport and diffusion on evolving implicit surfaces.
Comput. Vis. Sci.
Gerhard Dziuk, Charles M. Elliott
2010 J jnl
Modeling and computation of two phase geometric biomembranes using surface finite elements.
J. Comput. Phys.
Charles M. Elliott, Björn Stinner
2009 J jnl
Optimal Control of the Propagation of a Graph in Inhomogeneous Media.
SIAM J. Control. Optim.
Klaus Deckelnick, Charles M. Elliott, Vanessa Styles
2008 J jnl
Numerical simulation of dealloying by surface dissolution via the evolving surface finite element method.
J. Comput. Phys.
Carsten Eilks, Charles M. Elliott
2005 J jnl
Fully Discrete Finite Element Approximation for Anisotropic Surface Diffusion of Graphs.
SIAM J. Numer. Anal.
Klaus Deckelnick, Gerhard Dziuk, Charles M. Elliott
2004 J jnl
A Finite Element Approximation of a Variational Inequality Formulation of Bean's Model for Superconductivity.
SIAM J. Numer. Anal.
Charles M. Elliott, David Kay, Vanessa Styles
2003 J jnl
Dynamic Boundary Conditions for Hamilton-Jacobi Equations.
SIAM J. Math. Anal.
Charles M. Elliott, Yoshikazu Giga, Shun'ichi Goto
2003 J jnl
Error Analysis of a Semidiscrete Numerical Scheme for Diffusion in Axially Symmetric Surfaces.
SIAM J. Numer. Anal.
Klaus Deckelnick, Gerhard Dziuk, Charles M. Elliott