Finite element methods for surface PDEs
(G. Dziuk and C. M.Elliott)
Acta Numerica (2013) 289--396
Finite element analysis for a coupled bulk-surface partial
differential equation
(C. M.Elliott and T. Ranner)
IMA Journal Numerical Analysis 33 (2013) 377-402
L2 estimates for the evolving surface finite element method
(G. Dziuk and C. M.Elliott)
Math.
Comp. 82 (2013) 1--24
An ALE ESFEM for solving PDEs on evolving surfaces
(C. M.Elliott and V. M. Styles)
Milan Journal of Mathematics 80 (2012) 469--501
A fully discrete evolving surface finite
element method
(G. Dziuk and C. M.Elliott)
SIAM Journal Numerical Analysis 50 (2012) 2677--2694
Modelling cell motility and chemotaxis with
evolving surface finite elements
(C. M.Elliott, B. Stinner and C. Venkataraman)
Journal Royal Society Interface 9(76) (2012) 3027--3044
(C. M. Elliott and B. Stinner)
Communications in Computational Physics
13 (2) (2012) 325--360
Surface finite element method for pattern
formation on evolving biological surfaces
(R. Barreira, C. M. Elliott and A. Madzvamuse) J. Math. Biol. 63 (2011) 1095--1119
Numerical computation of advection
and diffusion on evolving diffuse interfaces
(C. M. Elliott, B. Stinner, V. M. Styles and R. Welford) IMAJ Num. Anal. 31 (2011) 245--269
A surface phase field
model for two-phase biological membranes
(C. M. Elliott and B. Stinner) SIAM J. Appl. Math. 70 (2010) 2904--2928
(C. M. Elliott and B. Stinner) J. Computational Physics 229 (2010) 6585--6612
(Klaus Deckelnick, Gerhard Dziuk, Charles M. Elliott and Claus-Justus Heine) IMA
Journal Numerical Analysis 30(2010) 351-376
(G. Dziuk and C. M. Elliott) Computing and Visualization in
Science 13 (2010) 17--28
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
(G. Dziuk and C. M. Elliott) Interfaces and Free Boundaries 10 (2008) 119--138
Surface finite elements for parabolic equations (G. Dziuk and C. M. Elliott) Journal of Computational Mathematics 25(2007) 385--407
(G. Dziuk and C. M. Elliott) IMA Journal Numerical Analysis 27(2007) 262-292
2013
2012
2011
2010
Modelling and computation of two phase geometric biomembranes
using surface finite elements
An h narrow band finite element
method for elliptic equations on
implicit surfaces
An Eulerian approach
to transport and diffusion on evolving implicit surfaces
2009
2008
Eulerian finite element method for parabolic PDES
on implicit surfaces
2007
Finite elements on evolving surfaces