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Finite element methods in geometric integration

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Coupling Geometric PDEs with Physics for Cell Morphology, Motility and Pattern Formation

Geometric integration is the study of numerical schemes which inherit some property from the continuum limit they approximate. In this talk we examine the role of finite element temporal discretisations of some model ODE problems, moving onto how they can be applied in semi and fully discrete numerical schemes for PDEs. The specific model we illustrate in this talk is the Navier-Stokes-Korteweg equation which is a diffuse interface phase field model

This talk is part of the Isaac Newton Institute Seminar Series series.

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