3 citations · 3 across the 4 of their papers we have counts for
4 papers
Schwarz Methods for Nonlocal Problems
Matthias Schuster, Christian Vollmann, Volker Schulz
The first domain decomposition methods for partial differential equations were already developed in 1870 by H. A. Schwarz. Here we consider a nonlocal Dirichlet problem with variab…
A scalable domain decomposition method for FEM discretizations of nonlocal equations of integrable and fractional type
Manuel Klar, Giacomo Capodaglio, Marta D'Elia +3
Nonlocal models allow for the description of phenomena which cannot be captured by classical partial differential equations. The availability of efficient solvers is one of the mai…
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…
nlfem: A flexible 2d Fem Code for Nonlocal Convection-Diffusion and Mechanics
Manuel Klar, Christian Vollmann, Volker Schulz
In this work we present the mathematical foundation of an assembly code for finite element approximations of nonlocal models with compactly supported, weakly singular kernels. We d…