CHARLIE ELLIOTT


PDEs on surfaces

2010


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) 786--812


A surface phase field model for two-phase biological membranes

(C. M. Elliott and B. Stinner)

SIAM J. Appl. Math. 70 (2010) 2904--2928


Modelling and computation of two phase geometric biomembranes using surface finite elements

(C. M. Elliott and B. Stinner)

J. Computational Physics 229 (2010) 6585--6612


An h narrow band finite element method for elliptic equations on implicit surfaces

(Klaus Deckelnick, Gerhard Dziuk, Charles M. Elliott and Claus-Justus Heine)

IMA Journal Numerical Analysis 30(2010) 351-376


An Eulerian approach to transport and diffusion on evolving implicit surfaces

(G. Dziuk and C. M. Elliott)

Computing and Visualization in Science 13 (2010) 17--28

2009


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

2008


Numerical simulation of dealloying by surface dissolution via the evolving surface finite element method

(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

2007

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


Return to Homepage