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

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

1995-1999

Diffusional phase transitions in multicomponent systems with a concentration dependent mobility matrix

( C. M Elliott and H. Garcke) Physica D 109 (1997) 242-256

Numerical analysis of a model for phase separation of a multi-comp[onent alloy

( J. F. Blowey, M. I. M. Copetti and C. M Elliott) IMA Jour,. Num. Anal. 16 (1996) 111--139

On the Cahn-Hilliard equation with degenerate mobility

( C. M Elliott and H. Garcke) SIAM J. Math. Anal. 27 (1996) 404-423

The Cahn-Hilliard equation with a concentration dependent mobility: motion by minus the Laplacian of the mean curvature

(J. Cahn, C. M Elliott and A. Novick-Cohen) Euro. J. Appl. Math. 7 (1996) 287-301

Spinodal decomposition in Fe-Cr alloys: Experimental study at the atomic level and comparison with computer models I. Introduction and methodology

(M.K. Miller, J.M. Hyde, M.G. Hetherington, A. Cerezo, G.D.W. Smith and C.M. Elliott) Acta Metal. Mater. Vol. 43. No. 9. (1995) 3385--3401

Spinodal decomposition in Fe-Cr alloys: Experimental study at the atomic level and comparison with computer models II. Development of domain size and composition amplitude

(J.M. Hyde, M.K. Miller, M.G. Hetherington, A. Cerezo, G.D.W. Smith and C.M. Elliott) Acta Metal. Mater. Vol. 43. No. 9. (1995) 3403--3413

Spinodal decomposition in Fe-Cr alloys: Experimental study at the atomic level and comparison with computer models III. Development of morphology

(J.M. Hyde, M.K. Miller, M.G. Hetherington, A. Cerezo, G.D.W. Smith and C.M. Elliott) Acta Metal. Mater. Vol. 43. No. 9. (1995) 3415--3426

The viscous Cahn-Hilliard equation. Part I: Computations

( F. Bai, C. M Elliott, A. Gardiner, A. M. Stuart) Nonlinearity 8 (1995) 131--160

1990-1994

Numerical analysis of the Cahn-Hilliard equation with a logarithmic free energy

(M. I. M. Copetti and C. M. Elliott) Numer. Math. 63 (1992) 39--65

The Cahn-Hilliard gradient theory for phase separation with non-smooth free energy Part 2: Numerical Analysis

(J.F. Blowey and C.M. Elliott) European J. Applied Mathematics 3 (1992) 147--179

The Cahn-Hilliard gradient theory for phase separation with non-smooth free energy Part 1: Mathematical Analysis

(J.F. Blowey and C.M. Elliott) European J. Applied Mathematics 2 (1991) 233-280

Existence for the Cahn-Hilliard phase separation model with a nondifferentiable energy

(C.M. Elliott and A. Mikelic) Annali Matematica Pura ed Applicata 158 (1991) 181-203

A generalised diffusion equation for phase separatiion of a multicomponent mixture with interfacial free energy

(C.M. Elliott and S. Luckhaus) SFB756 University of Bonn Preprint 195 (1991) and IMA(Minnesota)Preprint #887 (1991)

1985-1989

A nonconforming finite element method for the two dimensional Cahn-Hilliard equation

(C. M. Elliott and D. A. French) SIAM J. Numer. Anal. 26 (1989) 884-903

A second order splitting method for the Cahn-Hilliard equation.

(C. M. Elliott, D. A. French and F. Milner) Num. Math. 54 (1989)575-590

The Cahn-Hilliard model for the kinetics of phase separation. 'Mathematical Models for Phase Change Problems

(C. M. Elliott) International Series of Numerical Mathematics 88 (ed. J.F.Rodrigues) Birkhauser Verlag (1989) 35-73.

Numerical studies of the Cahn-Hilliard equation for phase separation

(C. M. Elliott and D. A. French) IMA Journal of Applied Mathematics 38 (1987) 97-128

On the Cahn-Hilliard equation

(C. M. Elliott and Zheng Songmu) Arch. Rat. Mech. Anal (1986)

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