کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6423250 | 1342045 | 2012 | 20 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Convergence of adaptive BEM for some mixed boundary value problem
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات محاسباتی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Convergence of adaptive BEM for some mixed boundary value problem Convergence of adaptive BEM for some mixed boundary value problem](/preview/png/6423250.png)
چکیده انگلیسی
For a boundary integral formulation of the 2D Laplace equation with mixed boundary conditions, we consider an adaptive Galerkin BEM based on an (hâh/2)-type error estimator. We include the resolution of the Dirichlet, Neumann, and volume data into the adaptive algorithm. In particular, an implementation of the developed algorithm has only to deal with discrete integral operators. We prove that the proposed adaptive scheme leads to a sequence of discrete solutions, for which the corresponding error estimators tend to zero. Under a saturation assumption for the non-perturbed problem which is observed empirically, the sequence of discrete solutions thus converges to the exact solution in the energy norm.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 62, Issue 4, April 2012, Pages 226-245
Journal: Applied Numerical Mathematics - Volume 62, Issue 4, April 2012, Pages 226-245
نویسندگان
M. Aurada, S. Ferraz-Leite, P. Goldenits, M. Karkulik, M. Mayr, D. Praetorius,