A PhD position is open in the team. The objective of the PhD is to develop a rigorous mathematical and numerical background for the extension and dissemination of imaging modalities by ultrasound, i.e., elastic waves, applied to the cardiac settings. The problems treated will concerned the topics of mathematical modelling, numerical analysis and scientific computing. More precisely we plan to define a linearised model for the propagation of elastic waves in the heart, study approximations of these models and define adapted numerical methods for the discretization of the resulting partial differential equations. Our end-objective is to be able to do high performance computing of the underlying multi-scale and multi-physics phenomena.
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