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math.NA2016★ 3 cited
A unified integral equation scheme for doubly-periodic Laplace and Stokes boundary value problems in two dimensions
Alex H. Barnett, Gary Marple, Shravan Veerapaneni +1
We present a spectrally-accurate scheme to turn a boundary integral formulation for an elliptic PDE on a single unit cell geometry into one for the fully periodic problem. Applicat…
math.NA2015
A fast algorithm for simulating multiphase flows through periodic geometries of arbitrary shape
Gary Marple, Alex Barnett, Adrianna Gillman +1
This paper presents a new boundary integral equation (BIE) method for simulating particulate and multiphase flows through periodic channels of arbitrary smooth shape in two dimensi…