TABI (treecode-accelerated boundary integral) solves the linear Poisson-Boltzmann equation. The solver employs a well-conditioned boundary integral formulation for the electrostatic potential and its normal derivative on the molecular surface, which is triangulated and the integral equations are discretized by centroid collocation. The linear system is solved by GMRES iteration and the matrix-vector product is carried out by a Cartesian terraced which reduces the cost from O(N^2) to O(N*logN), where N is the number elements.
REFERENCE: W.H. Geng and R. Krasny, A treecode-accelerated boundary integral Poisson-Boltzmann solver for continuum electrostatics of solvated biomolecules, J. Comput. Phys. 247, 62-87 (2013)
This material is based upon work supported under NSF Grant DMS-0915057, DMS-1418966, DMS-1418957. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the NSF.
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