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math.NA2022★ 15 cited
A Meshfree Point Collocation Method for Elliptic Interface Problems
Heinrich Kraus, Jörg Kuhnert, Andreas Meister +1
We present a meshfree generalized finite difference method for solving Poisson's equation with a diffusion coefficient that contains jump discontinuities up to several orders of ma…
math.NA2017★ 32 cited
Point Cloud Movement For Fully Lagrangian Meshfree Methods
Pratik Suchde, Joerg Kuhnert
In Lagrangian meshfree methods, the underlying spatial discretization, referred to as a point cloud or a particle cloud, moves with the flow velocity. In this paper, we consider di…