A Multi-level Mixed Element Method for the Eigenvalue Problem of Biharmonic Equation
Numerical Analysis
2016-06-20 v1
Abstract
In this paper, we discuss approximating the eigenvalue problem of biharmonic equation. We first present an equivalent mixed formulation which admits amiable nested discretization. Then, we construct multi-level finite element schemes by implementing the algorithm as in [33] to the nested discretizations on series of nested grids. The multi-level mixed scheme for biharmonic eigenvalue problem possesses optimal convergence rate and optimal computational cost. Both theoretical analysis and numerical verifications are presented.
Cite
@article{arxiv.1606.05419,
title = {A Multi-level Mixed Element Method for the Eigenvalue Problem of Biharmonic Equation},
author = {Shuo Zhang and Yingxia Xi and Xia Ji},
journal= {arXiv preprint arXiv:1606.05419},
year = {2016}
}