Analytic integration of the Newton potential over cuboids and an application to fast multipole methods

DOI10.1515/jnma-2020-0103zbMath1495.31001arXiv2012.10304OpenAlexW3192529788MaRDI QIDQ2672915

Donat Weniger, Matthias Kirchhart

Publication date: 13 June 2022

Published in: Journal of Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.10304

zbMATH Keywords

Poisson equationC++fast multipole methodsNewton potentialanalytic integration

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80) Numerical algorithms for computer arithmetic, etc. (65Y04) Software, source code, etc. for problems pertaining to potential theory (31-04) Computational methods for problems pertaining to potential theory (31-08)

Related Items (1)

boxpot

Uses Software

• GitHub

Cites Work

• A hierarchical \({\mathcal O}(N)\) force calculation algorithm
• Efficient convolution with the Newton potential in \(d\) dimensions
• Direct integration of the Newton potential over cubes
• Hierarchical quadrature for singular integrals
• On the efficient convolution with the Newton potential
• Ultimately Fast Accurate Summation
• Quadrature Over a Pyramid or Cube of Integrands with a Singularity at a Vertex
• The Mathematical Theory of Finite Element Methods
• Boundary Element Methods
• A fast algorithm for particle simulations

This page was built for publication: Analytic integration of the Newton potential over cuboids and an application to fast multipole methods