تقرير
The Green`s function for an acoustic, half-space impedance problem Part II: Analysis of the slowly varying and the plane wave component
| العنوان: | The Green`s function for an acoustic, half-space impedance problem Part II: Analysis of the slowly varying and the plane wave component |
|---|---|
| المؤلفون: | Lin, C., Melenk, J. M., Sauter, S. |
| سنة النشر: | 2024 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis, 31B10, 33C10, 35J08, 41A10 |
| الوصف: | We show that the acoustic Green`s function for a half-space impedance problem in arbitrary spatial dimension d can be written as a sum of two terms, each of which is the product of an exponential function with the eikonal in the argument and a slowly varying function. We introduce the notion of families of slowly varying functions to formulate this statement as a theorem and present its proof. Comment: 29 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2408.03587 |
| رقم الأكسشن: | edsarx.2408.03587 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |