Introduces an Ewald-free BIE framework for periodic Stokes flow using hierarchical proxy sums that achieves O(N) cost and high-order accuracy for systems with millions of degrees of freedom.
Integral equation methods for Stokes flow in doubly-periodic domains.Journal of Engineering Mathematics, 48(2):157–170, 2004
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Develops and analyzes single- and double-layer potential operators for doubly-periodic harmonic functions on finitely-connected tori, proves compactness and boundary limits, constructs the null space for multiply-connected cases, and demonstrates spectral convergence for Dirichlet, Neumann, and Stek
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A scalable Ewald-free BIE framework for periodic Stokes flow via hierarchical proxy sums
Introduces an Ewald-free BIE framework for periodic Stokes flow using hierarchical proxy sums that achieves O(N) cost and high-order accuracy for systems with millions of degrees of freedom.