Published in Journal of Computational Physics, 2026
Spectra of the Laplace boundary integral operators on prolates and oblate spheroids are derived and verified. Capabilities and limitations of the approach are investigated.
Recommended citation: https://www.sciencedirect.com/science/article/pii/S0021999126003931
Published in arXiv, 2026
We present a BIE framework for three-dimensional particulate Stokes flow in periodic pipes with circular cross-sections, wall-bounded doubly-periodic, and triply periodic geometries that uses only the free-space Green’s function and avoids both Ewald summation and the extended linear system. Proxy sources placed on equivalent surfaces of the kernel-independent FMM (KIFMM) form the auxiliary basis, and contributions from far image boxes are captured by a hierarchical proxy sum made absolutely convergent by a net-force-zero compatibility condition.
Recommended citation: http://arxiv.org/abs/2605.30805