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math.AP2022
"Gradient-free" diffuse approximations of the Willmore functional and Willmore flow
Nils Dabrock, Sascha Knüttel, Matthias Röger
We introduce new diffuse approximations of the Willmore functional and the Willmore flow. They are based on a corresponding approximation of the perimeter that has been studied by…
math.AP2017★ 1 cited
Characterization of minimizers of an anisotropic variant of the Rudin-Osher-Fatemi functional with fidelity term
Nils Dabrock
In this paper we study an anisotropic variant of the Rudin-Osher-Fatemi functional with fidelity term of the form \[ E(u) = \int_{\mathbb{R}^n} ϕ(\nabla u) + λ\| u -f \|_{L^1…