Introduction

This end of study internship is a 2nd year internship in the CSMI Master ("Calcul Scientifique et Mathématiques de l’Information") of the University of Strasbourg. It is the continuation of a project done during the first semester of M2, the main objective of this project was the discovery of an innovative non-conformal finite element method for augmented surgery, the \(\phi\)-FEM method. The purpose of this project was to have Cemosis and Mimesis collaborate through the use of Feel++ software (developed by Cemosis) in the framework of the \(\phi\)-FEM method (one of the research topics of the Mimesis team). This project was followed by a 6-month internship whose main objective was to correct the prediction of a Fourier Neural Operator (FNO) by a solver using the \(\phi\)-FEM method.

The features include