A rapid computation of the volume potential in boundary element methods

Tchoualag, Laurent; Ndjansi, Lionel Ouya; Woukeng, Jean Louis; Mukam, Jean Daniel

doi:10.22034/cmde.2026.69094.3392

A rapid computation of the volume potential in boundary element methods

Articles in Press

Document Type : Research Paper

Authors

¹ Department of Computer Science and Mathematics, University of Dschang, P.O. Box 67, Dschang, Cameroon.

² Department of Mathematics, University of Wuppertal Gaussstrasse 20, 42119 Wuppertal, Germany.

10.22034/cmde.2026.69094.3392

Abstract

This work presents and analyzes a fast method for computing the volume potential using the Fast Fourier Transform (FFT) in combination with Gauss-Legendre and Gauss-Hammer quadrature rules, for both the Poisson equation and the linear elastostatic equation. Additionally, we provide corresponding error estimates and present numerical results that demonstrate the efficiency and reliability of the proposed algorithms.

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