تقرير
Coarse Spaces Based on Higher-Order Interpolation for Schwarz Preconditioners for Helmholtz Problems
| العنوان: | Coarse Spaces Based on Higher-Order Interpolation for Schwarz Preconditioners for Helmholtz Problems |
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| المؤلفون: | Sieburgh, Erik, Heinlein, Alexander, Dwarka, Vandana, Vuik, Cornelis |
| سنة النشر: | 2024 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis |
| الوصف: | The development of scalable and wavenumber-robust iterative solvers for Helmholtz problems is challenging but also relevant for various application fields. In this work, two-level Schwarz domain decomposition preconditioners are enhanced by coarse space constructed using higher-order B\'ezier interpolation. The numerical results indicate numerical scalability and robustness with respect the wavenumber, as long as the wavenumber times the element size of the coarse mesh is sufficiently low. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2408.03571 |
| رقم الأكسشن: | edsarx.2408.03571 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |