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A rapid computation of the volume potential in boundary element methods | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 10 اردیبهشت 1405 اصل مقاله (1.2 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2026.69094.3392 | ||
| نویسندگان | ||
| Laurent Tchoualag1؛ Lionel Ouya Ndjansi* 1؛ Jean Louis Woukeng1؛ Jean Daniel Mukam2 | ||
| 1Department of Computer Science and Mathematics, University of Dschang, P.O. Box 67, Dschang, Cameroon. | ||
| 2Department of Mathematics, University of Wuppertal Gaussstrasse 20, 42119 Wuppertal, Germany. | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Boundary element methods؛ volume potential؛ FFT method؛ Gauss-Legendre and Gauss-Hammer quadrature rules | ||
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آمار تعداد مشاهده مقاله: 13 تعداد دریافت فایل اصل مقاله: 4 |
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