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Publications
A stabilized finite element method for inverse problems subject to the convection-diffusion equation. I: diffusion-dominated regime
Abstract The numerical approximation of an inverse problem subject to the convection–diffusion equation when diffusion dominates is studied. We derive Carleman estimates that are on a form suitable for use…
Read More Unique continuation for the Helmholtz equation using stabilized finite element methods
Abstract In this work we consider the computational approximation of a unique continuation problem for the Helmholtz equation using a stabilized finite element method. First conditional stability estimates are derived for which,…
Read More Avenues for the use of cellular automata in image segmentation
Abstract The majority of Cellular Automata (CA) described in the literature are binary or three-state. While several abstractions are possible to generalise to more than three states, only a negligible…
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