کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10356019 867598 2014 25 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A perfectly matched layer for the time-dependent wave equation in heterogeneous and layered media
ترجمه فارسی عنوان
یک لایه کاملا همسان برای معادله موج وابسته به زمان در رسانه های ناهمگن و لایه ای
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
چکیده انگلیسی
A mathematical analysis of the perfectly matched layer (PML) for the time-dependent wave equation in heterogeneous and layered media is presented. We prove the stability of the PML for discontinuous media with piecewise constant coefficients, and derive energy estimates for discontinuous media with piecewise smooth coefficients. We consider a computational setup consisting of smaller structured subdomains that are discretized using high order accurate finite difference operators for approximating spatial derivatives. The subdomains are then patched together into a global domain by a weak enforcement of interface conditions using penalties. In order to ensure the stability of the discrete PML, it is necessary to transform the interface conditions to include the auxiliary variables. In the discrete setting, the transformed interface conditions are crucial in deriving discrete energy estimates analogous to the continuous energy estimates, thus proving stability and convergence of the numerical method. Finally, we present numerical experiments demonstrating the stability of the PML in a layered medium and high order accuracy of the proposed interface conditions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 257, Part A, 15 January 2014, Pages 757-781
نویسندگان
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