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math.AP2022★ 3 cited
The nonlocal Neumann problem
Leonhard Frerick, Christian Vollmann, Michael Vu
The classical local Neumann problem is well studied and solutions of this problem lie, in general, in a Sobolev space. In this work, we focus on nonlocal Neumann problems with meas…
math.AP2017
Exploiting multilevel Toeplitz structures in high dimensional nonlocal diffusion
Christian Vollmann, Volker Schulz
We present a finite element implementation for the steady-state nonlocal Dirichlet problem with homogeneous volume constraints. Here, the nonlocal diffusion operator is defined as…