کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6422535 1632020 2014 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Implementation of an interior point source in the ultra weak variational formulation through source extraction
ترجمه فارسی عنوان
پیاده سازی یک منبع نقطه داخلی در فرمول بندی بسیار متنوع ضعیف از طریق استخراج منبع
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی

The Ultra Weak Variational Formulation (UWVF) is a powerful numerical method for the approximation of acoustic, elastic and electromagnetic waves in the time-harmonic regime. The use of Trefftz-type basis functions incorporates the known wave-like behaviour of the solution in the discrete space, allowing large reductions in the required number of degrees of freedom for a given accuracy, when compared to standard finite element methods. However, the UWVF is not well disposed to the accurate approximation of singular sources in the interior of the computational domain. We propose an adjustment to the UWVF for seismic imaging applications, which we call the Source Extraction UWVF. Differing fields are solved for in subdomains around the source, and matched on the inter-domain boundaries. Numerical results are presented for a domain of constant wavenumber and for a domain of varying sound speed in a model used for seismic imaging.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 271, 1 December 2014, Pages 295-306
نویسندگان
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