#fastalgorithm

Andreas Kloecknerinducer
2025-04-22

Ever wondered whether fast direct solvers are compatible with Quadrature by Expansion, a method for the evaluation of singular layer potentials? Wonder no more 🙂 In arxiv.org/abs/2504.13809, we offer an algorithmic recipe, analysis, an end-to-end error model, and some weighting tricks, the latter two applicable beyond QBX, along with numerical experiments. 🎓 📖

A schematic figure illustrating geometry handling in fast direct solvers, showing the center of a cluster as well as its target and proxy radii.

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