Numerics IV (Numerical methods for geometric PDEs)

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Description

Geometric partial differential equations are describing the evolution ofand processes on surfaces. Geometric flows such as the now classical mean curvature flow, Willmore flow, and pdes on moving surfaces are typical examples. In this lecture, we will consider various formulations including phase field models of Allen-Cahn and Cahn-Hilliard type and concentrate on basic numerical techniques such as surface finite element methods, adaptivity,unfitted finite element methods, and efficient numerical solvers. Zielgruppe Advanced students in the Master Program Mathematics.Various possible topics for a Master thesis will come up during this course. Voraussetzungen Basic knowledge on partial differential equations and their numericalsolution (e.g. Numerics III).

Target Audience

This lecture is a continuation of the preceding course on numerical methods for PDEs (Numerics III). It is intended to broaden the way towards a master thesis in the field of computational PDEs.

Prerequisites

Participants should have some knowledge about PDEs and their numerical approximation by finite elements as provided, e.g., by the preceing course on numerical methods for PDEs (Numerics III).

Registration

All participants should register at the KVV, so that we know who is participating. The overall number of participants is also necessary to justify the equipment of the course. In addition, depending on your program of study, you have to register in the Campus Management.

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