An adaptive hyperviscosity stabilization for RBF-FD is proposed that sets the constant from the spectral radius of the evolution matrix, supports general nodes, and is demonstrated on linear advection and Burgers' equation with limited dissipation.
Qiu, Spectra 1.1.0, a c++ library for large scale eigenvalue problems, https://spectralib.org/ (2025)
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Adaptive hyperviscosity stabilisation for the RBF-FD method in solving advection-dominated transport equations
An adaptive hyperviscosity stabilization for RBF-FD is proposed that sets the constant from the spectral radius of the evolution matrix, supports general nodes, and is demonstrated on linear advection and Burgers' equation with limited dissipation.