Young Researchers Workshop: Kinetic theory with applications in physical sciences

Error estimate of a random particle blob method for the Keller-Segel equation

Hui Huang

Duke University
[SLIDES]

We establish an optimal error estimate for a random particle blob method for the Keller-Segel equation in $mathbb{R}^d~(dgeq 2)$. With a blob size $varepsilon=h^{q_1}$ $(1/2frac{d}{1-q_1})$ norm up to a small probability $h^{C|ln h|}$, where $h$ is the initial grid size.