Name
Title | ||
|---|---|---|
Asymptotic expansion and extrapolation for the Eigenvalue approximation of the biharmonic eigenvalue problem by Ciarlet–Raviart scheme |
Abstract | ||
|---|---|---|
We propose and analyze the Ciarlet–Raviart mixed scheme for solving the biharmonic eigenvalue problem with bilinear finite
elements. We derive a higher order convergence rate for eigenvalue and eigenfunction approximations. Furthermore, we give
an asymptotic expansion of the eigenvalue error, from which an efficient extrapolation and an a posteriori error estimate
for the eigenvalue are given. Finally, numerical experiments illustrating the theoretical results are reported. |
Year | DOI | Venue |
|---|---|---|
2007 | https://doi.org/10.1007/s10444-007-9031-x | Advances in Computational Mathematics |
Keywords | Field | DocType |
Eigenvalue problem,biharmonic equation,Ciarlet–Raviart scheme,asymptotic expansion,extrapolation,a posteriori error estimate,35P15,65N15,65N25,65N30 | Mathematical optimization,Eigenvalue perturbation,Eigenfunction,Mathematical analysis,Asymptotic expansion,Extrapolation,Rate of convergence,Divide-and-conquer eigenvalue algorithm,Biharmonic equation,Mathematics,Inverse iteration | Journal |
Volume | Issue | ISSN |
27 | 1 | 1019-7168 |
Citations | PageRank | References |
1 | 0.36 | 5 |
Authors | ||
2 | ||