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On approximations of the curve shortening flow and of the mean curvature flow based on the DeTurck trick

M. Elliott, Charles ; Fritz, Hans



Abstract

In this article we discuss novel numerical schemes for the computation of the curve shortening and mean curvature flows that are based on special reparametrizations. The main idea is to use special solutions to the harmonic map heat flow in order to reparametrize the equations of motion. This idea is widely known from the Ricci flow as the De Turck trick. By introducing a variable timescale for ...

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