کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4630795 | 1340608 | 2011 | 10 صفحه PDF | دانلود رایگان |

This paper discusses a high efficient scheme for the Steklov eigenvalue problem. A two-grid discretization scheme of nonconforming Crouzeix–Raviart element is established. With this scheme, the solution of a Steklov eigenvalue problem on a fine grid πh is reduced to the solution of the eigenvalue problem on a much coarser grid πH and the solution of a linear algebraic system on the fine grid πh. By using spectral approximation theory and Nitsche–Lascaux–Lesaint technique in space H-12(∂Ω), we prove that the resulting solution obtained by our scheme can maintain an asymptotically optimal accuracy by taking H=h. And the numerical experiments indicate that when the eigenvalues λk,h of nonconforming Crouzeix–Raviart element approximate the exact eigenvalues from below, the approximate eigenvalues λk,h∗ obtained by the two-grid discretization scheme also approximate the exact ones from below, and the accuracy of λk,h∗ is higher than that of λk,h.
Journal: Applied Mathematics and Computation - Volume 217, Issue 23, 1 August 2011, Pages 9669–9678