313 citations · 473 across the 16 of their papers we have counts for
20 papers
Heat kernel asymptotics for scaling limits of isoradial graphs
Simon Schwarz, Anja Sturm, Max Wardetzky
We consider the asymptotics of the discrete heat kernel on isoradial graphs for the case where the time and the edge lengths tend to zero simultaneously. Depending on the asymptoti…
Analysis of curvature approximations via covariant curl and incompatibility for Regge metrics
Jay Gopalakrishnan, Michael Neunteufel, Joachim Schöberl +1
The metric tensor of a Riemannian manifold can be approximated using Regge finite elements and such approximations can be used to compute approximations to the Gauss curvature and…
Weak topologies for unbounded nets in CAT() spaces
Philip Miller, Arian Berdellima, Max Wardetzky
Weak topologies that yield weak convergence for bounded sequences and nets in CAT() spaces have been studied in the past. We are here concerned with weak topologies that yield w…
Efficient Random Walks on Riemannian Manifolds
Simon Schwarz, Michael Herrmann, Anja Sturm +1
According to a version of Donsker's theorem, geodesic random walks on Riemannian manifolds converge to the respective Brownian motion. From a computational perspective, however, ev…
A mixed finite element method with piecewise linear elements for the biharmonic equation on surfaces
Oded Stein, Eitan Grinspun, Alec Jacobson +1
The biharmonic equation with Dirichlet and Neumann boundary conditions discretized using the mixed finite element method and piecewise linear (with the possible exception of bounda…
A Smoothness Energy without Boundary Distortion for Curved Surfaces
Oded Stein, Alec Jacobson, Max Wardetzky +1
Current quadratic smoothness energies for curved surfaces either exhibit distortions near the boundary due to zero Neumann boundary conditions, or they do not correctly account for…