A NEW NONCONFORMING RECOVERY ALGORITHM FOR TWO-SIDED BOUNDS OF EIGENVALUES
Hits: 42
- TITLE: A NEW NONCONFORMING RECOVERY ALGORITHM FOR TWO-SIDED BOUNDS OF EIGENVALUES
- ABSTRACT: In recent papers the authors present and develop an original method for obtaining two-sided bounds of the exact eigenvalues. This idea is based on the combination of nonconforming finite element methods giving lower bounds of eigenvalues and a postprocessing procedure using conforming finite element spaces. Here a new approach is proposed, applicable to second- and fourth-order eigenvalue problems. Namely, a conforming finite element method is used for eigenpairs approximation and then by means of nonconforming recovery interpolant a lower bound approximation of the exact eigenvalues is obtained when the mesh parameter 0h > is sufficiently small. Some appropriate combinations of finite elements (conforming and nonconforming) which fulfil the algorithm are presented and discussed. Numerical experiments illustrating the efficiency of the proposed method are also given.
- DOWNLOAD: A NEW NONCONFORMING RECOVERY ALGORITHM FOR TWO-SIDED BOUNDS OF EIGENVALUES