کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10678557 | 1012915 | 2005 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
High-frequency asymptotics for the numerical solution of the Helmholtz equation
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موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: High-frequency asymptotics for the numerical solution of the Helmholtz equation High-frequency asymptotics for the numerical solution of the Helmholtz equation](/preview/png/10678557.png)
چکیده انگلیسی
It is often noted that the Helmholtz equation is extremely difficult to solve, in particular, for high-frequency solutions for heterogeneous media. Since stability for second-order discretization methods requires one to choose at least 10-12 grid points per wavelength, the discrete problem on the possible coarsest mesh is huge. In a realistic simulation, one is required to choose 20-30 points per wavelength to achieve a reasonable accuracy; this problem is hard to solve. This article is concerned with the high-frequency asymptotic decomposition of the wavefield for an efficient and accurate simulation for the high-frequency numerical solution of the Helmholtz equation. It has been numerically verified that the new method is accurate enough even when one chooses 4-5 grid points per wavelength.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics Letters - Volume 18, Issue 7, July 2005, Pages 797-804
Journal: Applied Mathematics Letters - Volume 18, Issue 7, July 2005, Pages 797-804
نویسندگان
Seongjai Kim, Chang-Soo Shin, Joseph B. Keller,