کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4641250 1341300 2009 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Direct and iterative solution of the generalized Dirichlet–Neumann map for elliptic PDEs on square domains
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Direct and iterative solution of the generalized Dirichlet–Neumann map for elliptic PDEs on square domains
چکیده انگلیسی

In this work we derive the structural properties of the Collocation coefficient matrix associated with the Dirichlet–Neumann map for Laplace’s equation on a square domain. The analysis is independent of the choice of basis functions and includes the case involving the same type of boundary conditions on all sides, as well as the case where different boundary conditions are used on each side of the square domain. Taking advantage of said properties, we present efficient implementations of direct factorization and iterative methods, including classical SOR-type and Krylov subspace (Bi-CGSTAB and GMRES) methods appropriately preconditioned, for both Sine and Chebyshev basis functions. Numerical experimentation, to verify our results, is also included.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 227, Issue 1, 1 May 2009, Pages 171–184
نویسندگان
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