کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
513342 866470 2009 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Applications of the modified Trefftz method for the Laplace equation
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
Applications of the modified Trefftz method for the Laplace equation
چکیده انگلیسی

In this paper, the Laplace problems are solved by using the modified Trefftz method. For discontinuous boundary problem, singular problem, and degenerate scale problem, the conventional Trefftz method encounters the numerical instability owing to rank deficiency and high-order T-complete functions. To overcome these problems, the characteristic length of problem domain and high-order T-complete functions is introduced to obtain a modified Trefftz method, equipping with a characteristic length factor to make sure that this method is stable. Besides, the high-order T-complete functions can be clearly described for the discontinuous boundary conditions. Comparing with the solutions in the previous literature, the present method is powerful even for the problem with complex boundary and with adding random noise on the boundary data. It is also successfully solving the degenerate scale problem, resulting to a highly accurate result never seen before.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Engineering Analysis with Boundary Elements - Volume 33, Issue 2, February 2009, Pages 137–146
نویسندگان
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