کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
471508 698638 2007 29 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the equivalence of the Trefftz method and method of fundamental solutions for Laplace and biharmonic equations
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
On the equivalence of the Trefftz method and method of fundamental solutions for Laplace and biharmonic equations
چکیده انگلیسی

In this paper, it is proved that the two approaches, known in the literature as the method of fundamental solutions (MFS) and the Trefftz method, are mathematically equivalent in spite of their essentially minor and apparent differences in formulation. In deriving the equivalence of the Trefftz method and the MFS for the Laplace and biharmonic problems, it is interesting to find that the complete set in the Trefftz method for the Laplace and biharmonic problems are embedded in the degenerate kernels of the MFS. The degenerate scale appears using the MFS when the geometrical matrix is singular. The occurring mechanism of the degenerate scale in the MFS is also studied by using circulant. The comparison of accuracy and efficiency of the two methods was addressed.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 53, Issue 6, March 2007, Pages 851–879
نویسندگان
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