دانلود کتاب A boundary element method for the Dirichlet eigenvalue problem of the Laplace operator

Name: A boundary element method for the Dirichlet eigenvalue problem of the Laplace operator
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Author: Steinbach O.

by Steinbach O., Unger G.

عنوان فارسی: روش اجزاء مرزی برای مشکل ویژه دیریکله عملگر لاپلاس
سال: 2009
زبان: انگلیسی
تعداد صفحه (نسخه چاپی - نسخه الکترونیکی): 18-18
نوع فایل: PDF دانلود نرم افزار مطالعه
حجم: 0.26 مگابایت

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جزییات کتاب

The solution of eigenvalue problems for partial differential operators byusing boundary integral equation methods usually involves some Newton potentialswhich may be resolved by using a multiple reciprocity approach. Here we proposean alternative approach which is in some sense equivalent to the above. Instead of alinear eigenvalue problem for the partial differential operator we consider a nonlineareigenvalue problem for an associated boundary integral operator. This nonlineareigenvalue problem can be solved by using some appropriate iterative scheme, herewe will consider a Newton scheme.We will discuss the convergence and the boundaryelement discretization of this algorithm, and give some numerical results.