An Interface Formulation of the Laplace–Beltrami Problem on Piecewise Smooth Surfaces
An Interface Formulation of the Laplace–Beltrami Problem on Piecewise Smooth Surfaces
The Laplace–Beltrami problem on closed surfaces embedded in three dimensions arises in many areas of physics, including molecular dynamics (surface diffusion), electromagnetics (harmonic vector fields), and fluid dynamics (vesicle deformation). In particular, the Hodge decomposition of vector fields tangent to a surface can be computed by solving a sequence of …