70 citations · 93 across the 11 of their papers we have counts for
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math.NA2017
A unified theory for continuous in time evolving finite element space approximations to partial differential equations in evolving domains
Charles M. Elliott, Thomas Ranner
We develop a unified theory for continuous in time finite element discretisations of partial differential equations posed in evolving domains including the consideration of equatio…
physics.bio-ph2017★ 14 cited
A new computational method for a model of C. elegans biomechanics: Insights into elasticity and locomotion performance
Netta Cohen, Thomas Ranner
An organism's ability to move freely is a fundamental behaviour in the animal kingdom. To understand animal locomotion requires a characterisation of the material properties, as we…
math.NA2017★ 1 cited
Evolving surface finite element methods for random advection-diffusion equations
Ana Djurdjevac, Charles M. Elliott, Ralf Kornhuber +1
In this paper, we introduce and analyse a surface finite element discretization of advection-diffusion equations with uncertain coefficients on evolving hypersurfaces. After statin…