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Surface finite element methods

Presented by: 
Bjorn Stinner
Thursday 17th September 2015 - 15:30 to 16:15
INI Seminar Room 1
Co-authors: Charles Elliott (University of Warwick), Paola Pozzi (University of Duisburg-Essen), Chandrasehkar Venkataraman (University of Sussex)

Complex phenomena such as moving cells may involve phenomena or processes on lower dimensional objects that separate compartments, phases, or other types of domains. Surface finite elements can provide a mean to approximate solutions to continuum models and, thus, after defining suitable objectives to compare with experimental data. In this context, we will report on new findings regarding the convergence analysis of schemes for simple coupled systems consisting of a geometric PDE for a curve and a diffusion equation on that curve. More sophistical systems of such a structure can be applied in cell biology where we exemplary look at the quantification of an approach to cell migration and, time permitting, focal adhesions and tethering of elastic membranes.

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