CGGC Seminar: An Explicit Structure-preserving Numerical Scheme for EPDiff

Orestis Vantzos (Mathematics, Technion)
Sunday, 24.6.2018, 13:30
Taub 401

We present a new structure-preserving numerical scheme for solving the Euler–Poincaré Differential (EPDiff) equation on arbitrary triangle meshes. Unlike existing techniques, our method solves the difficult non-linear EPDiff equation by constructing energy preserving, yet fully explicit, update rules.

Our approach uses standard differential operators on triangle meshes, allowing for a simple and efficient implementation.

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