70 citations · 244 across the 29 of their papers we have counts for
4 papers · 1 filter
Second order splitting for a class of fourth order equations
Charles M. Elliott, Hans Fritz, Graham Hobbs
We formulate a well-posedness and approximation theory for a class of generalised saddle point problems. In this way we develop an approach to a class of fourth order elliptic part…
Reconciling Bayesian and perimeter regularization for binary inversion
Oliver R. A. Dunbar, Matthew M. Dunlop, Charles M. Elliott +2
A central theme in classical algorithms for the reconstruction of discontinuous functions from observational data is perimeter regularization via the use of the total variation. On…
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…
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…