کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
471955 | 698675 | 2016 | 8 صفحه PDF | دانلود رایگان |
In this article, we consider the Poisson equation with homogeneous Dirichlet boundary conditions, on a polygonal domain with one reentrant corner. The solution of the Poisson equation with a concave corner yields a singular decomposition, u=w+ληsu=w+ληs, where ww is regular, ss is a singular function, and the coefficient λλ is the so called stress intensity factor. This stress intensity factor can be computed using the extraction formula. We introduce a new non-homogeneous boundary value problem, which has ‘zero’ stress intensity factor. Using the solution of this new partial differential equation, we can compute an accurate solution of the original problem, simply by adding singular part. We obtain an optimal convergence rate with smaller errors when compared with others.
Journal: Computers & Mathematics with Applications - Volume 71, Issue 11, June 2016, Pages 2330–2337