Oscillatory Behaviour of the RBF-FD Approximation Accuracy Under Increasing Stencil Size

Meshless Interface Tracking for the Simulation of Dendrite Envelope Growth

“…Although such an approach is simple to implement and generalises to higher dimensions, it is also computationally expensive as relatively big stencils are required for stable approximation [33,53,48]. The interplay of node positioning and stencil selection is of crucial importance not only for the execution performance but also for accuracy and stability, which is still, after decades of research, not fully understood [60]. In the future work these concerns should be also tackled.…”