Elliott, Charles M.; Hatcher, Luke; Herbert, Philip J. Small deformations of spherical biomembranes. (English) Zbl 1473.35595 Giga, Yoshikazu (ed.) et al., The role of metrics in the theory of partial differential equations. Proceedings of the 11th Mathematical Society of Japan, Seasonal Institute (MSJ-SI), Nagoya University, Japan, July 2–13 2018. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 85, 39-61 (2021). MSC: 35Q92 92C37 92C05 74L15 49M41 35B38 35R09 35Q56 65K10 65N30 PDFBibTeX XMLCite \textit{C. M. Elliott} et al., Adv. Stud. Pure Math. 85, 39--61 (2021; Zbl 1473.35595) Full Text: DOI arXiv
Dunbar, Oliver R. A.; Elliott, Charles M. Binary recovery via phase field regularization for first-arrival traveltime tomography. (English) Zbl 1431.65153 Inverse Probl. 35, No. 9, Article ID 095004, 32 p. (2019). Reviewer: Abdallah Bradji (Annaba) MSC: 65M32 65M30 65M60 65M06 65K10 65M12 65J20 35F21 35D40 86A15 PDFBibTeX XMLCite \textit{O. R. A. Dunbar} and \textit{C. M. Elliott}, Inverse Probl. 35, No. 9, Article ID 095004, 32 p. (2019; Zbl 1431.65153) Full Text: DOI arXiv Link
Deckelnick, Klaus; Elliott, Charles M.; Styles, Vanessa Double obstacle phase field approach to an inverse problem for a discontinuous diffusion coefficient. (English) Zbl 1339.65209 Inverse Probl. 32, No. 4, Article ID 045008, 26 p. (2016). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N21 65N30 65N12 35J25 35R30 49J20 65K10 PDFBibTeX XMLCite \textit{K. Deckelnick} et al., Inverse Probl. 32, No. 4, Article ID 045008, 26 p. (2016; Zbl 1339.65209) Full Text: DOI arXiv Link
Elliott, Charles M.; Kashima, Yohei On macroscopic critical state models of superconductivity in 3D. (English) Zbl 1143.65379 Beneš, Michal (ed.) et al., Proceedings of Czech-Japanese Seminar in Applied Mathematics 2005, Kuju, Japan, September 15–18, 2005. Fukuoka: Kyushu University, The 21st Century COE Program “DMHF”. COE Lecture Note 3, 39-55 (2006). MSC: 65M60 65M12 78M10 78A25 82D55 49J40 35Q60 35J85 65K10 PDFBibTeX XMLCite \textit{C. M. Elliott} and \textit{Y. Kashima}, COE Lect. Note 3, 39--55 (2006; Zbl 1143.65379)
Blowey, J. F.; Elliott, C. M. The Cahn-Hilliard gradient theory for phase separation with non-smooth free energy. II: Numerical analysis. (English) Zbl 0810.35158 Eur. J. Appl. Math. 3, No. 2, 147-179 (1992). MSC: 35R35 65K10 35Q35 35K85 PDFBibTeX XMLCite \textit{J. F. Blowey} and \textit{C. M. Elliott}, Eur. J. Appl. Math. 3, No. 2, 147--179 (1992; Zbl 0810.35158) Full Text: DOI
Barrett, John W.; Elliott, Charles M. Fixed mesh finite element approximations to a free boundary problem for an elliptic equation with an oblique derivative boundary condition. (English) Zbl 0591.65072 Comput. Math. Appl. 11, 335-345 (1985). Reviewer: N.F.F.Ebecken MSC: 65N30 65K10 49J40 35J05 PDFBibTeX XMLCite \textit{J. W. Barrett} and \textit{C. M. Elliott}, Comput. Math. Appl. 11, 335--345 (1985; Zbl 0591.65072) Full Text: DOI
Elliott, Charles M.; Janovsky, Vladimir An error estimate for a finite-element approximation of an elliptic variational inequality formulation of a Hele-Shaw moving-boundary problem. (English) Zbl 0515.65055 IMA J. Numer. Anal. 3, 1-9 (1983). MSC: 65K10 49J40 PDFBibTeX XMLCite \textit{C. M. Elliott} and \textit{V. Janovsky}, IMA J. Numer. Anal. 3, 1--9 (1983; Zbl 0515.65055) Full Text: DOI
Elliott, Charles M. On the finite element approximation of an elliptic variational inequality arising from an implicit time discretization of the Stefan problem. (English) Zbl 0469.65042 IMA J. Numer. Anal. 1, 115-125 (1981). MSC: 65K10 65Z05 49J40 65N30 35K05 35R35 35J65 80A17 PDFBibTeX XMLCite \textit{C. M. Elliott}, IMA J. Numer. Anal. 1, 115--125 (1981; Zbl 0469.65042) Full Text: DOI