کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
499393 863042 2008 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Approximate moment matrix decomposition in wavelet Galerkin BEM
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
Approximate moment matrix decomposition in wavelet Galerkin BEM
چکیده انگلیسی

We present an improvement to the wavelet Galerkin BEM in [J. Tausch, A variable order wavelet method for the sparse representation of layer potentials in the non-standard form, J. Numer. Math. 12 (3) (2004) 233–254]. In the non-standard form representation of integral operators the number of wavelets in every level determines the efficiency of the underlying Galerkin scheme. In order to increase this number, the partial singular value decomposition (PSVD) of the moment matrix is employed. Since the resulting wavelets do not exactly satisfy the conventional vanishing moment condition, i.e. a certain number of polynomial moments of the wavelets are zero, we introduce the concept of “quasi-vanishing moment”. For integral equations of the second kind we prove that the asymptotic convergence of the full Galerkin scheme can be retained by controlling the cut-off for singular values in the PSVD appropriately. Numerical results show that our improvement can largely decrease the time and memory usage while preserving the optimal convergence rate of the method.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 197, Issues 45–48, 15 August 2008, Pages 4000–4006
نویسندگان
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