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3D shape reconstruction of semi-transparent worms
3D shape reconstruction typically requires identifying object features or textures in multiple images of a subject. This approach is …
Thomas P. Ilett, Omer Yuval, Thomas Ranner, Netta Cohen, David Hogg
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A monolithic optimal control method for displacement tracking of Cosserat rod with application to reconstruction of C. elegans locomotion
Yongxing Wang, Thomas Ranner, Thomas P. Ilett, Yan Xia, Netta Cohen
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A unified theory for continuous in time evolving finite element space approximations to partial differential equations in evolving domains
We develop a unified theory for continuous in time finite element discretisations of partial differential equations posed in evolving …
Charles M. Elliott, Thomas Ranner
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A stable finite element method for low inertia undulatory locomotion in three dimensions
We present and analyse a numerical method for understanding the low-inertia dynamics of an open, inextensible viscoelastic rod - a long …
Thomas Ranner
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Evolving surface finite element methods for random advection-diffusion equations
Even though random partial differential equations (PDEs) have become a very active field of research, the analysis and numerical …
Ana Djurdjevac, Charles M. Elliott, Ralf Kornhuber, Thomas Ranner
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Signatures of proprioceptive control in C. elegans locomotion
Animal neuromechanics describes the coordinated self-propelled movement of a body, subject to the combined effects of internal neural …
Jack E. Denham, Thomas Ranner, Netta Cohen
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Coupled bulk-surface free boundary problems arising from a mathematical model of receptor-ligand dynamics
We consider a coupled bulk-surface system of partial differential equations with nonlinear coupling modelling receptor-ligand dynamics. …
Charles M. Elliott, Thomas Ranner, Chandrashekar Venkataraman
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A computational approach to an optimal partition problem on surfaces
Charles M. Elliott, Thomas Ranner
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Evolving surface finite element method for the Cahn-Hilliard equation
Charles M. Elliott, Thomas Ranner
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Unfitted finite element method using bulk meshes for surface partial differential equations
Klaus Deckelnick, Charles M. Elliott, Thomas Ranner
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