2020/02/04 by Muhammad Hassan, Hassan, Muhammad, Benjamin Stamm +1
Chemistry · Earth and Planetary Sciences · Physics and Astronomy · #65N12 #65N15 #65N35 #65R20 #Electromagnetic Scattering and Analysis #Electrostatics and Colloid Interactions #FOS: Mathematics #Geophysical and Geoelectrical Methods #Numerical Analysis (math.NA)
paper · pdf · doi:10.48550/arxiv.2002.01579
openalex publication_date 2020/02/04 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28
This article deals with the efficient and accurate computation of the\nelectrostatic forces between charged, spherical dielectric particles undergoing\nmutual polarisation. We use the spectral Galerkin boundary integral equation\nframework developed by Lindgren et al. (J. Comput. Phys. 371 (2018): 712-731)\nand subsequently analysed in two earlier contributions of the authors to\npropose a linear scaling in cost algorithm for the computation of the\napproximate forces. We establish exponential convergence of the method and\nderive error estimates for the approximate forces that do not explicitly depend\non the number of dielectric particles N. Consequently, the proposed method\nrequires only \O(N) operations to compute the electrostatic forces\nacting on N dielectric particles up to any given and fixed relative error.\n