313 citations · 473 across the 16 of their papers we have counts for
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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…
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…
Elastic energy regularization for inverse obstacle scattering problems
Julian Eckhardt, Ralf Hiptmair, Thorsten Hohage +2
By introducing a shape manifold as a solution set to solve inverse obstacle scattering problems we allow the reconstruction of general, not necessarily star-shaped curves. The bend…
Variational Convergence of Discrete Elasticae
Sebastian Scholtes, Henrik Schumacher, Max Wardetzky
We discuss a discretization by polygonal lines of the Euler-Bernoulli bending energy and of Euler elasticae under clamped boundary conditions. We show Hausdorff convergence of the…
Distortion estimates for barycentric coordinates on Riemannian simplices
Stefan W. von Deylen, David Glickenstein, Max Wardetzky
We define barycentric coordinates on a Riemannian manifold using Karcher's center of mass technique applied to point masses for n+1 sufficiently close points, determining an n-dime…
Variational Convergence of Discrete Minimal Surfaces
Henrik Schumacher, Max Wardetzky
Building on and extending tools from variational analysis, we prove Kuratowski convergence of sets of simplicial area minimizers to minimizers of the smooth Douglas-Plateau problem…