A Linear Scaling in Accuracy Numerical Method for Computing the Electrostatic Forces in the $N$-Body Dielectric Spheres Problem

DOI10.4208/cicp.OA-2020-0090zbMath1474.65457arXiv2002.01579OpenAlexW3108087871MaRDI QIDQ5163187

Benjamin Stamm, Muhammad Hassan

Publication date: 3 November 2021

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.01579

zbMATH Keywords

error analysisboundary integral equations\(N\)-body problemforceslinear scalingpolarisation

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for integral equations (65R20) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12)

Uses Software

• CHARMM
• MLAPM
• ScalFMM

Cites Work

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• Task-Based FMM for Multicore Architectures
• A fast algorithm for particle simulations
• On C. Neumann's method for second-order elliptic systems in domains with non-smooth boundaries

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