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math.NA2021★ 10 cited
Stabilizing Radial Basis Function Methods for Conservation Laws Using Weakly Enforced Boundary Conditions
Jan Glaubitz, Anne Gelb
It is well understood that boundary conditions (BCs) may cause global radial basis function (RBF) methods to become unstable for hyperbolic conservation laws (CLs). Here we investi…
math.NA2021★ 12 cited
Towards Stable Radial Basis Function Methods for Linear Advection Problems
Jan Glaubitz, Elise Le Mélédo, Philipp Öffner
In this work, we investigate (energy) stability of global radial basis function (RBF) methods for linear advection problems. Classically, boundary conditions (BC) are enforced stro…