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Improved Quadrature Formula for a Single-Layer Potentialстатья
- Авторы: Krutitskii P.A., Reznichenko I.O.
- Журнал: Computational Mathematics and Mathematical Physics
- Том: 63
- Номер: 2
- Год издания: 2023
- Издательство: Pleiades Publishing, Ltd
- Местоположение издательства: Road Town, United Kingdom
- Первая страница: 187
- Последняя страница: 201
- Аннотация: An improved quadrature formula is derived for a single-layer potential with a smooth density given on a closed or open surface. The formula ensures a uniform approximation of the potentialnear the surface and preserves the continuity of the potential as the observation point tends to the surface from inside the domain. These properties are confirmed by numerical tests. For the potentialcomputed near the surface, the present quadrature formula yields higher accuracy than previouslyknown quadrature rules, which is also confirmed by numerical tests. Additionally, a quadrature formula for the direct value of the single-layer potential on the surface is derived. Numerical tests conducted with this formula confirm its efficiency and accuracy.
- Добавил в систему: Резниченко Игорь Олегович