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 |
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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. |