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ORCIDCharles M. Elliott
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2020 – today
- 2025
[j28]Charles M. Elliott, Thomas Sales
:
A fully discrete evolving surface finite element method for the Cahn-Hilliard equation with a regular potential. Numerische Mathematik 157(2): 663-715 (2025)- 2024
- [i7]Charles M. Elliott, Thomas Sales:
A fully discrete evolving surface finite element method for the Cahn-Hilliard equation with a regular potential. CoRR abs/2405.11984 (2024) - [i6]Charles M. Elliott, Achilleas Mavrakis:
SFEM for the Lagrangian formulation of the surface Stokes problem. CoRR abs/2410.19470 (2024) - [i5]Charles M. Elliott, Thomas Sales:
An evolving surface finite element method for the Cahn-Hilliard equation with a logarithmic potential. CoRR abs/2411.05650 (2024) - 2023
- [j27]Diogo Miguel Caetano, Charles M. Elliott, Maurizio Grasselli, Andrea Poiatti:
Regularization and Separation for Evolving Surface Cahn-Hilliard Equations. SIAM J. Math. Anal. 55(6): 6625-6675 (2023) - 2022
- [j26]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): 873-925 (2022) - [i4]Oliver R. A. Dunbar, Charles M. Elliott, Lisa Maria Kreusser:
Models for information propagation on graphs. CoRR abs/2201.07577 (2022) - [i3]Charles M. Elliott, Harald Garcke, Balázs Kovács:
Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces. CoRR abs/2202.03302 (2022) - [i2]Charles M. Elliott, Thomas Ranner, P. Stepanov:
Evolving finite elements for advection diffusion with an evolving interface. CoRR abs/2208.04850 (2022) - 2020
- [j25]Charles M. Elliott, Philip J. Herbert:
Second order splitting of a class of fourth order PDEs with point constraints. Math. Comput. 89(326): 2613-2648 (2020) - [j24]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): 1-49 (2020) - [j23]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): A1984-A2013 (2020)
2010 – 2019
- 2019
- [j22]Charles M. Elliott, Hans Fritz, Graham Hobbs:
Second order splitting for a class of fourth order equations. Math. Comput. 88(320): 2605-2634 (2019) - [j21]Klaus Deckelnick, Charles M. Elliott, Tatsu-Hiko Miura, Vanessa Styles:
Hamilton-Jacobi equations on an evolving surface. Math. Comput. 88(320): 2635-2664 (2019) - [i1]Charles M. Elliott, Philip J. Herbert:
Second order splitting of a class of fourth order PDEs with point constraints. CoRR abs/1911.02947 (2019) - 2018
- [j20]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): 1656-1684 (2018) - [j19]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): 1544-1592 (2018) - 2017
- [j18]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): 360-397 (2017) - 2015
- [j17]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): 389-449 (2015) - [j16]Charles M. Elliott, Thomas Ranner:
Evolving surface finite element method for the Cahn-Hilliard equation. Numerische Mathematik 129(3): 483-534 (2015) - [j15]Charles M. Elliott, Hans Fritz:
Time-Periodic Solutions of Advection-Diffusion Equations on Moving Hypersurfaces. SIAM J. Math. Anal. 47(3): 1693-1718 (2015) - 2014
- [j14]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): 2137-2162 (2014) - 2013
- [j13]Gerhard Dziuk, Charles M. Elliott:
Finite element methods for surface PDEs. Acta Numer. 22: 289-396 (2013) - [j12]Gerhard Dziuk, Charles M. Elliott:
L2-estimates for the evolving surface finite element method. Math. Comput. 82(281): 1-24 (2013) - 2012
- [j11]Gerhard Dziuk, Charles M. Elliott:
A Fully Discrete Evolving Surface Finite Element Method. SIAM J. Numer. Anal. 50(5): 2677-2694 (2012) - 2011
- [j10]Klaus Deckelnick, Charles M. Elliott, Vanessa Styles:
Numerical analysis of an inverse problem for the eikonal equation. Numerische Mathematik 119(2): 245 (2011) - 2010
- [j9]Gerhard Dziuk, Charles M. Elliott:
An Eulerian approach to transport and diffusion on evolving implicit surfaces. Comput. Vis. Sci. 13(1): 17-28 (2010) - [j8]Charles M. Elliott, Björn Stinner:
Modeling and computation of two phase geometric biomembranes using surface finite elements. J. Comput. Phys. 229(18): 6585-6612 (2010) - [j7]Charles M. Elliott, Björn Stinner:
A Surface Phase Field Model for Two-Phase Biological Membranes. SIAM J. Appl. Math. 70(8): 2904-2928 (2010)
2000 – 2009
- 2009
- [j6]Klaus Deckelnick, Charles M. Elliott, Vanessa Styles:
Optimal Control of the Propagation of a Graph in Inhomogeneous Media. SIAM J. Control. Optim. 48(3): 1335-1352 (2009) - 2008
- [j5]Carsten Eilks, Charles M. Elliott:
Numerical simulation of dealloying by surface dissolution via the evolving surface finite element method. J. Comput. Phys. 227(23): 9727-9741 (2008) - 2005
- [j4]Klaus Deckelnick, Gerhard Dziuk, Charles M. Elliott:
Fully Discrete Finite Element Approximation for Anisotropic Surface Diffusion of Graphs. SIAM J. Numer. Anal. 43(3): 1112-1138 (2005) - 2004
- [j3]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): 1324-1341 (2004) - 2003
- [j2]Charles M. Elliott, Yoshikazu Giga, Shun'ichi Goto:
Dynamic Boundary Conditions for Hamilton-Jacobi Equations. SIAM J. Math. Anal. 34(4): 861-881 (2003) - [j1]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): 2161-2179 (2003)
Coauthor Index
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