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Number of items: 29.
Alexander von Humboldt-Stiftung
Dziuk, Gerhard and Elliott, Charles M. (2008) Eulerian finite element method for parabolic PDEs on implicit surfaces. Interfaces and Free Boundaries, Volume 10 (Number 1). pp. 119-138. doi:10.4171/IFB/182 ISSN 1463-9963.
Alexander von Humboldt-Stiftung (AvHS)
Elliott, Charles M. and Fritz, Hans (2017) On approximations of the curve shortening flow and of the mean curvature flow based on the DeTurck trick. IMA Journal of Numerical Analysis, 37 (2). pp. 543-603. doi:10.1093/imanum/drw020 ISSN 0272-4979.
Elliott, Charles M. and Fritz, Hans (2016) On algorithms with good mesh properties for problems with moving boundaries based on the harmonic map heat flow and the DeTurck trick. Journal of Computational Mathematics, 2 . pp. 141-176. doi:10.5802/smai-jcm.12 ISSN 2426-8399.
Deutsche Forschungsgemeinschaft
Deckelnick, Klaus, Dziuk, Gerhard, Elliott, Charles M. and Heine, Claus-Justus (2010) An h-narrow band finite-element method for elliptic equations on implicit surfaces. IMA Journal of Numerical Analysis, Vol.30 (No.2). pp. 351-376. doi:10.1093/imanum/drn049 ISSN 0272-4979.
Deutsche Forschungsgemeinschaft (DFG)
Elliott, Charles M., Graser, Carsten, Hobbs, Graham, Kornhuber, R. and Wolf, Maren-Wanda (2016) A variational approach to particles in lipid membranes. Archive for Rational Mechanics and Analysis, 222 (2). pp. 1011-1075. doi:10.1007/s00205-016-1016-9 ISSN 0003-9527.
Dziuk, Gerhard and Elliott, Charles M. (2013) Finite element methods for surface PDEs. Acta Numerica, Volume 22 . pp. 289-396. doi:10.1017/S0962492913000056 ISSN 0962-4929.
Dziuk, Gerhard and Elliott, Charles M. (2012) LΒ² -estimates for the evolving surface finite element method. Mathematics of Computation, Volume 82 (Number 281). pp. 1-24. doi:10.1090/S0025-5718-2012-02601-9 ISSN 0025-5718.
Elliott, Charles M., Stinner, BjΓΆrn, Styles, Vanessa and Welford, R. (2011) Numerical computation of advection and diffusion on evolving diffuse interfaces. IMA Journal of Numerical Analysis, Vol.31 (No.3). pp. 786-812. doi:10.1093/imanum/drq005 ISSN 0272-4979.
Elliott, Charles M. and Stinner, BjΓΆrn (2010) Modeling and computation of two phase geometric biomembranes using surface finite elements. Journal of Computational Physics, Vol.229 (No.18). pp. 6585-6612. doi:10.1016/j.jcp.2010.05.014 ISSN 0021-9991.
Dziuk, Gerhard and Elliott, Charles M. (2010) An Eulerian approach to transport and diffusion on evolving implicit surfaces. Computing and Visualization in Science, Vol.13 (No.1). pp. 17-28. doi:10.1007/s00791-008-0122-0 ISSN 1432-9360.
Eilks, C. and Elliott, Charles M. (2008) Numerical simulation of dealloying by surface dissolution via the evolving surface finite element method. Journal of Computational Physics, Vol.227 (No.23). pp. 9727-9741. doi:10.1016/j.jcp.2008.07.023 ISSN 0021-9991.
Dziuk, Gerhard and Elliott, Charles M. (2008) Eulerian finite element method for parabolic PDEs on implicit surfaces. Interfaces and Free Boundaries, Volume 10 (Number 1). pp. 119-138. doi:10.4171/IFB/182 ISSN 1463-9963.
Engineering and Physical Sciences Research Council (EPSRC)
Elliott, Charles M., Ranner, Thomas and Venkataraman, Chandrasekhar (2017) Coupled bulk-surface free boundary problems arising from a mathematical model of receptor-ligand dynamics. SIAM Journal on Mathematical Analysis, 49 (1). pp. 360-397. ISSN 0036-1410.
Elliott, Charles M., Graser, Carsten, Hobbs, Graham, Kornhuber, R. and Wolf, Maren-Wanda (2016) A variational approach to particles in lipid membranes. Archive for Rational Mechanics and Analysis, 222 (2). pp. 1011-1075. doi:10.1007/s00205-016-1016-9 ISSN 0003-9527.
Alphonse, Amal and Elliott, Charles M. (2016) Well-posedness of a fractional porous medium equation on an evolving surface. Nonlinear Analysis: Theory, Methods & Applications, 137 . pp. 3-42. doi:10.1016/j.na.2016.01.010 ISSN 0362-546X.
Alphonse, Amal and Elliott, Charles M. (2015) A Stefan problem on an evolving surface. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 373 (2050). doi:10.1098/rsta.2014.0279 ISSN 1364-503X.
Elliott, Charles M., Stinner, BjΓΆrn and Venkataraman, Chandrasekhar (2012) Modelling cell motility and chemotaxis with evolving surface finite elements. Journal of The Royal Society Interface, Volume 9 (Number 76). pp. 3027-3044. doi:10.1098/rsif.2012.0276 ISSN 1742-5689.
Dziuk, Gerhard and Elliott, Charles M. (2012) LΒ² -estimates for the evolving surface finite element method. Mathematics of Computation, Volume 82 (Number 281). pp. 1-24. doi:10.1090/S0025-5718-2012-02601-9 ISSN 0025-5718.
Elliott, Charles M. and Styles, Vanessa (2012) An ALE ESFEM for solving PDEs on evolving surfaces. Milan Journal of Mathematics, Volume 80 (Number 2). pp. 469-501. doi:10.1007/s00032-012-0195-6 ISSN 1424-9286.
Elliott, Charles M., Stinner, BjΓΆrn, Styles, Vanessa and Welford, R. (2011) Numerical computation of advection and diffusion on evolving diffuse interfaces. IMA Journal of Numerical Analysis, Vol.31 (No.3). pp. 786-812. doi:10.1093/imanum/drq005 ISSN 0272-4979.
Elliott, Charles M. and Stinner, BjΓΆrn (2010) Modeling and computation of two phase geometric biomembranes using surface finite elements. Journal of Computational Physics, Vol.229 (No.18). pp. 6585-6612. doi:10.1016/j.jcp.2010.05.014 ISSN 0021-9991.
Dziuk, Gerhard and Elliott, Charles M. (2010) An Eulerian approach to transport and diffusion on evolving implicit surfaces. Computing and Visualization in Science, Vol.13 (No.1). pp. 17-28. doi:10.1007/s00791-008-0122-0 ISSN 1432-9360.
Elliott, Charles M. and Stinner, BjΓΆrn (2010) A surface phase field model for two-phase biological membranes. SIAM Journal on Applied Mathematics, Volume 70 (Number 8). pp. 2904-2928. doi:10.1137/090779917 ISSN 0036-1399.
Dziuk, Gerhard and Elliott, Charles M. (2008) Eulerian finite element method for parabolic PDEs on implicit surfaces. Interfaces and Free Boundaries, Volume 10 (Number 1). pp. 119-138. doi:10.4171/IFB/182 ISSN 1463-9963.
German Research Foundation (DFG)
Elliott, Charles M. and Stinner, BjΓΆrn (2009) Analysis of a diffuse interface approach to an advection diffusion equation on a moving surface. Mathematical Models and Methods in Applied Sciences, Vol.19 (No.5). pp. 787-802. doi:10.1142/S0218202509003620 ISSN 0218-2025.
Isaac Newton Institute for Mathematical Sciences
Elliott, Charles M. and Fritz, Hans (2015) Time-periodic solutions of advection-diffusion equations on moving hypersurfaces. SIAM Journal on Mathematical Analysis, 47 (3). pp. 1693-1718. doi:10.1137/140977060 ISSN 0036-1410.
Leverhulme Trust (LT). Research Fellowship
Elliott, Charles M., Ranner, Thomas and Venkataraman, Chandrasekhar (2017) Coupled bulk-surface free boundary problems arising from a mathematical model of receptor-ligand dynamics. SIAM Journal on Mathematical Analysis, 49 (1). pp. 360-397. ISSN 0036-1410.
Royal Society (Great Britain). Wolfson Research Merit Award (RSWRMA)
Elliott, Charles M., Ranner, Thomas and Venkataraman, Chandrasekhar (2017) Coupled bulk-surface free boundary problems arising from a mathematical model of receptor-ligand dynamics. SIAM Journal on Mathematical Analysis, 49 (1). pp. 360-397. ISSN 0036-1410.
University of Warwick
Elliott, Charles M. and Fritz, Hans (2016) On algorithms with good mesh properties for problems with moving boundaries based on the harmonic map heat flow and the DeTurck trick. Journal of Computational Mathematics, 2 . pp. 141-176. doi:10.5802/smai-jcm.12 ISSN 2426-8399.
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