Professor of Mathematics
Phone:+44 (0)24 7615 0773
Teaching Responsibilities 2017/18:
Term 2: MA914 Topics in PDEs (MASDOC)
My research is centred around nonlinear partial differential equations and computational mathematics with applications(mathematical biology, material science, continuum mechanics, phase transitions etc) including numerical analysis and applied analysis. In particular, finite element methods, free boundary problems, geometric evolution equations and surface growth, two phase flow, cell motility, biomembranes and PDE optimisation.
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Selected recent publications:
G. Dziuk and C. M. Elliott, A Fully discrete evolving surfacefinite element method. SIAM J. Num. Anal. 50/5 (2012) 2677-2694.
C.M. Elliott and T. Ranner, Finite element analysis for a coupled bulk-surface partial differential equation. IMA J. Num. Anal. 33/2 (2012) 377-402.
G. Dziuk and C. M. Elliott, L2 estimates for the evolving surface finite element method. Math. Comp. 82 (2013) 1-24.
K. P. Deckelnick, G. Dziuk, C. M. Elliott and C.-J. Heine, An h-narrow bandfinite element method for elliptic equations on implicit surfaces. IMA J. Num. Anal. 30 (2010) 351-376.