Publications | Thomas Ranner

Charles M. Elliott, Thomas Ranner, Pierre Stepanov (2024). Evolving finite elements for an advection diffusion problem with an evolving interface. Submitted. Preprint: arXiv:2208.04850.

Thomas P. Ilett, Omer Yuval, Thomas Ranner, Netta Cohen, David Hogg (2023). 3D shape reconstruction of semi-transparent worms. CVPR2023, accepted.

Yongxing Wang, Thomas Ranner, Thomas P. Ilett, Yan Xia, Netta Cohen (2022). A monolithic optimal control method for displacement tracking of Cosserat rod with application to reconstruction of C. elegans locomotion. Computational Mechanics.

Charles M. Elliott, Thomas Ranner (2020). A unified theory for continuous in time evolving finite element space approximations to partial differential equations in evolving domains. IMA Journal of Numerical Analysis, Volume 41, Issue 3, July 2021, Pages 1696-1845, https://doi.org/10.1093/imanum/draa062.

Thomas Ranner (2020). A stable finite element method for low inertia undulatory locomotion in three dimensions. Applied Numerical Mathematics 156 (2020) 422–44.

Ana Djurdjevac, Charles M. Elliott, Ralf Kornhuber, Thomas Ranner (2018). Evolving surface finite element methods for random advection-diffusion equations. SIAM/ASA J. Uncertainty Quantification, 6(4), 1656–1684..

Jack E. Denham, Thomas Ranner, Netta Cohen (2018). Signatures of proprioceptive control in C. elegans locomotion. Phil. Trans. R. Soc. B, 373: 20180208..

Charles M. Elliott, Thomas Ranner, Chandrashekar Venkataraman (2017). Coupled bulk-surface free boundary problems arising from a mathematical model of receptor-ligand dynamics. SIAM Journal on Mathematical Analysis, 49 (1): 360-397.

Christian Engwer, Thomas Ranner, Sebastian Westerheide (2016). An unﬁtted discontinuous Galerkin scheme for conservation laws on evolving surfaces. Proceedings of ALGORITHMY 2016.

Charles M. Elliott, Thomas Ranner (2015). Evolving surface finite element method for the Cahn-Hilliard equation. Numeriche Mathematik, 129 (3): 483-534.

Charles M. Elliott, Thomas Ranner (2015). A computational approach to an optimal partition problem on surfaces. Interfaces and Free Boundaries, 17(3): 353-379.

Klaus Deckelnick, Charles M. Elliott, Thomas Ranner (2014). Unfitted finite element method using bulk meshes for surface partial differential equations. SIAM Journal on Numerical Analysis, 52 (4): 2136-2162.

Thomas Ranner (2013). Computation partial differential equations. PhD thesis, University of Warwick.

Charles M. Elliott, Thomas Ranner (2012). Finite element analysis for a coupled bulk-surface partial differential equation. IMA Journal of Numerical Analysis, 33 (2): 337-402.