(C.M. Elliott and S. A. Smitheman) IMA Journal Numerical Analysis 29 (2009) 651--689
Optimal control of the propagation
of a graph in inhomogeneous media
(K. P. Deckelnick, C. M. Elliott and V. M. Styles) SIAM J. Control and Optimisation 48 (2009) 1335--1352
Analysis of a diffuse interface approach to an advection diffusion
equation on a moving surface
(C. M. Elliott and B. Stinner) Math. Mod. Meth. Appl. Sci. 19 (2009) 787--802
(C. Eilks and C. M. Elliott) Jour. Comp. Physics (2008) 227 9727--9741
Eulerian finite element method for parabolic PDES
on implicit surfaces
(G. Dziuk and C. M. Elliott) Interfaces and Free Boundaries 10 (2008) 119--138
(C.M. Elliott and S. A. Smitheman)Comm. Pure Appl. Anal. 6 (2007)
917--936
Surface finite elements for parabolic equations (G. Dziuk and C. M. Elliott) Journal of Computational Mathematics 25(2007) 385--407
Finite elements on evolving surfaces
(G. Dziuk and C. M. Elliott) IMA Journal Numerical Analysis 27(2007) 262-292
A finite element analysis of critical state models for Type II
superconductivity in 3D. (C. M. Elliott and Y. Kashima) IMA Journal of Numerical Analysis 27 (2007) 293--331
Discrete dynamics for convex
and non-convex smoothing functionals in PDE based image restoration (C.M. Elliott, B. Gawron,
S. Maier-Paape and E.S. Van Vleck) Communications Pure
Appl. Anal. 5 (2006) 181--200
Fully discrete semi-implicit
second order splitting
for anisotropic surface diffusion of graphs
(K. Deckelnick, G. Dziuk and C.M. Elliott )
SIAM J. Num. Anal. 43 (2005) 1112 - 1138
Computation of geometric partial differential equations
and mean curvature flow
(K. Deckelnick, G. Dziuk and C.M. Elliott )
Acta Numerica (2005) 130--232
Finite element analysis of a current density - electric
fi eld formulation of Bean's model for superconductivity
(C. M. Elliott, D.Kay and V.M.Styles) IMA J Numerical Analysis 25 (2005) 182--20
A fi nite element approximation of a variational formulation
of Bean's model for superconductivity
(C. M. Elliott, D.Kay and V.M.Styles) SIAM J Numerical Analysis 42 (2004) 1324--1341
Uniqueness and error analysis for Hamilton Jacobi
equations with discontinuities
(K. P. Deckelnick and C. M. Elliott) Interfaces and Free Boundaries 6 (2004) 329--349
Error analysis of a semidiscrete numerical
scheme for diffusion in axially symmetric surfaces
(K. Deckelnick, G. Dziuk and C.M. Elliott )
SIAM J. Numer. Anal. 41 (2003) 2161 - 2179
(A. J. Briggs, J. R. Claisse and C. M. Elliott) IMA J. Num. Anal. (2002) 22 89--131
Losing a graph with surface diffusion
(C.M. Elliott and S. Maier-Paape)
Hokkaido Mathematical Journal 30 (2001) 297-305