Implementation of the Spectral Preconditioner to Solve Poisson Equation Научная публикация
| Конференция |
Computational Science and Its Applications 30 июн. - 3 июл. 2025 , Istanbul |
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| Сборник | Computational Science and Its Applications (ICCSA 2025 Workshops) : Proceedings Сборник, Springer Cham. Switzerland.2026. 462 c. ISBN 978-3-031-97596-7. |
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| Журнал |
Lecture Notes in Computer Science
ISSN: 0302-9743 , E-ISSN: 1611-3349 |
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| Вых. Данные | Год: 2025, Том: 15888, Страницы: 388-401 Страниц : 14 DOI: 10.1007/978-3-031-97596-7_26 | ||
| Ключевые слова | Poisson equation, Conjugate gradient, preconditioner | ||
| Авторы |
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| Организации |
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Информация о финансировании (1)
| 1 | Российский научный фонд | 19-77-20004-П |
Реферат:
In this paper, we present an original preconditioner to solve Poisson equation for strongly heterogeneous media. We suggest using the Conjugate Gradient method with the preconditioner based on the solution of the Poisson equation for homogeneous media. Corresponding operator is easy to invert by spectral method, where spectral decomposition is applied in two spatial directions and the Gauss elimination method is applied to solve a series of 1D problems. We illustrate that use of such precondtioner strongly decreases the number of iterations to solve the original Poisson equation, moreover the number of iterations weakly depends on the problem size. Implementation of the suggested approach using modern GPUs allows solving problems of up to the size of 10003 voxels.
Библиографическая ссылка:
Lisitsa V.
, Manaev A.
, Solovyev S.
Implementation of the Spectral Preconditioner to Solve Poisson Equation
В сборнике Computational Science and Its Applications (ICCSA 2025 Workshops) : Proceedings. – Springer Cham., 2025. – Т.Part III. – C.388-401. – ISBN 978-3-031-97596-7. DOI: 10.1007/978-3-031-97596-7_26 Scopus OpenAlex
Implementation of the Spectral Preconditioner to Solve Poisson Equation
В сборнике Computational Science and Its Applications (ICCSA 2025 Workshops) : Proceedings. – Springer Cham., 2025. – Т.Part III. – C.388-401. – ISBN 978-3-031-97596-7. DOI: 10.1007/978-3-031-97596-7_26 Scopus OpenAlex
Даты:
| Опубликована в печати: | 28 мая 2025 г. |
| Опубликована online: | 28 мая 2025 г. |
Идентификаторы БД:
| Scopus: | 2-s2.0-105010820478 |
| OpenAlex: | W4412059006 |
Цитирование в БД:
Пока нет цитирований