Charlie Elliott: PAPERS 2010 onwards


SUBMITTED

An abstract framework for parabolic PDEs on evolving spaces

(Amal Alphonse, Charles M Elliott and Bjorn Stinner) arXiv preprint arXiv:1403.4500

Error analysis for an ALE evolving surface finite element method

(C. M. Elliott and C. Venkataraman) arXiv preprint arXiv:1403.1402

Unfitted finite element methods using bulk meshes for surface partial differential equations

(Klaus Deckelnick, Charles M Elliott and Thomas Ranner) arXiv preprint arXiv:1312.2905

Parameter identification problems in the modelling of cell motility

(Wayne Croft, Charles M Elliott, Graham Ladds, Bjorn Stinner, Chandrasekhar Venkataraman and Cathryn Weston)

arXiv preprint arXiv:1311.7602

A multiscale analysis of diffusions on rapidly varying surfaces

(AB Duncan, CM Elliot, GA Pavliotis and AM Stuart) arXiv preprint arXiv:1311.1007

Phase field methods for binary recovery

(C. Brett, A. S. Dedner and C. M. Elliott) arXiv:1310.4781 (OPTPDE proceedings)

Evolving surface finite element method for the Cahn-Hilliard equation

(C. M.Elliott and T. Ranner) Numerische Mathematik (to appear) arxiv:1310.4068

PUBLISHED

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 fi nite 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 fi nite elements

(C. M.Elliott, B. Stinner and C. Venkataraman) Journal Royal Society Interface 9(76) (2012) 3027--3044

Computation of two-phase biomembranes with phase dependent material parameters using surface fi nite elements

(C. M. Elliott and B. Stinner) Communications in Computational Physics 13 (2) (2012) 325--360

Numerical analysis for an inverse problem for the eikonal equation

(K. P. Deckelnick, C.M. Elliott and V. Styles) Numerische Mathematik 119 (2011) 245--269

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

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

(C. M. Elliott and B. Stinner) J. Comp. Phys. 229 (2010) 6585--6612

An Eulerian approach to transport and diffusion on evolving surfaces

(G. Dziuk and C.M. Elliott) Computing and Visualization in Science 13 (2010) 17--28

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

(K. P. Deckelnick, G. Dziuk, C. M. Elliott and C.-J. Heine) IMAJ Num. Anal. 30 (2010) 351-376




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