Meshing between the (slender) lines: a fast, accurate, and scalable general purpose boundary integral equation solver
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Multiscale, fast, and accurate solvers are needed to model many biophysical systems in low-Re flow. Boundary Integral Equation (BIE) methods reduce dimension from the problem domain to its boundary, and can be O(N) fast with Fast Multipole Methods. We developed a general purpose BIE solver on quadrilateral mesh with accuracy, speed, and scalability, which enabled us to combine with special purpose solvers to simulate many interesting physical phenomina such as particle transport, vascular networks, and rheology.