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A scalable Ewald-free BIE framework for periodic Stokes flow via hierarchical proxy sums

arXiv:2605.30805v1 Announce Type: cross Abstract: Particulate Stokes flow in confined, periodic geometries underlies a broad class of problems in biophysics, microfluidics, and the rheology of complex fluids. Boundary integral equation (BIE) methods are a natural tool for such problems, but existing periodization schemes rely either on periodic Green's functions, which are restrictive for complex confining geometries, or on free-space schemes that solve auxiliary proxy strengths alongside...

arXiv CS 9d ago

A scalable Ewald-free BIE framework for periodic Stokes flow via hierarchical proxy sums

arXiv:2605.30805v1 Announce Type: new Abstract: Particulate Stokes flow in confined, periodic geometries underlies a broad class of problems in biophysics, microfluidics, and the rheology of complex fluids. Boundary integral equation (BIE) methods are a natural tool for such problems, but existing periodization schemes rely either on periodic Green's functions, which are restrictive for complex confining geometries, or on free-space schemes that solve auxiliary proxy strengths alongside the...

arXiv Physics 9d ago