CHARLIE ELLIOTT

Analysis and Computation for Critical State and Vortex Density models for Type II Superconductivity


Long time asymptotics for forced curvature flow with applications to the motion of a superconducting vortex

(K. P. Deckelnick, C. M. Elliott and G. Richardson) Nonlinearity (1997) 10 655--678


Viscosity solutions of a degenerate parabolic-elliptic system arising in the mean field theory of superconductivity

(C. M. Elliott, R. Schatzle and B. E. E. Stoth) Arch. Rational Mech. Anal. (1998) 145 99--127


Finite difference approximation of a one dimensional Hamilton-Jacobi/elliptic system arising in superconductivity

(A. J. Briggs, J. R. Claisse and C. M. Elliott) IMA J. Num. Anal. (2002) 22 89--131


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


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 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


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