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An Application of the Non-conforming Crouzeix-Raviart Finite Element Method to Space Charge Calculations

The calculation of space charge effects in linear accelerators is an important prerequisite to understand the interaction between charged particles and the surrounding environment. These calculations should be as efficient as possible. In this work we explore the suitability of the CrouzeixRaviart Finite Element Method for the computation of the self-field of an electron bunch.