روش اجزاء مرزی برای مشکل ویژه دیریکله عملگر لاپلاس A boundary element method for the Dirichlet eigenvalue problem of the Laplace operator
- نوع فایل : کتاب
- زبان : انگلیسی
- نویسنده : Steinbach O. ,Unger G.
- چاپ و سال / کشور: 2009
Description
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.
