کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6423221 1632194 2014 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Trefftz discontinuous Galerkin methods for acoustic scattering on locally refined meshes
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات محاسباتی
پیش نمایش صفحه اول مقاله
Trefftz discontinuous Galerkin methods for acoustic scattering on locally refined meshes
چکیده انگلیسی

We extend the a priori error analysis of Trefftz discontinuous Galerkin methods for time-harmonic wave propagation problems developed in previous papers to acoustic scattering problems and locally refined meshes. To this aim, we prove refined regularity and stability results with explicit dependence of the stability constant on the wave number for non-convex domains with non-connected boundaries. Moreover, we devise a new choice of numerical flux parameters for which we can prove L2-error estimates in the case of locally refined meshes near the scatterer. This is the setting needed to develop a complete hp-convergence analysis.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 79, May 2014, Pages 79-91
نویسندگان
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