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Approximation of the Willmore energy by a discrete geometry model

Dr. Peter Gladbach

Dienstag, 2021-01-19 11:00Uhr

In this joint work with Heiner Olbermann (UCLouvain), we study the discrete bending energy of Grinspun et al defined for triangular complexes, and show that varying over all complexes with the Delaunay property, the minimal bending energy converges, as the size of triangles tends to zero, to a version of the Willmore energy, in the sense of Gamma-convergence. We show also that the Delaunay property is essential to guarantee the lower energy bound. Our article combines results from finite difference methods, discrete geometry, and geometric measure theory.