A framework for robust eigenvalue and eigenvector error estimation and Ritz value convergence enhancement-Reference-Cited by-同舟云学术

A framework for robust eigenvalue and eigenvector error estimation and Ritz value convergence enhancement

Published:2013-04 Issue: Volume:66 Page:1-29
ISSN:0168-9274
Container-title:Applied Numerical Mathematics
language:en
Short-container-title:Applied Numerical Mathematics

Author:

Bank Randolph E.,Grubišić Luka,Ovall Jeffrey S.

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference37 articles.

1. Hierarchical bases and the finite element method;Bank;Acta Numer.,1996

2. R.E. Bank, PLTMG: A software package for solving elliptic partial differential equations, Usersʼ guide 10.0, Technical report, Department of Mathematics, University of California at San Diego, 2007.

3. A posteriori error estimates based on hierarchical bases;Bank;SIAM J. Numer. Anal.,1993

4. Methods for computing lower bounds to eigenvalues of self-adjoint operators;Beattie;Numer. Math.,1995

5. A posteriori error estimates for elliptic problems in two and three space dimensions;Bornemann;SIAM J. Numer. Anal.,1996

Cited by 15 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A Posteriori Error Estimates for Elliptic Eigenvalue Problems Using Auxiliary Subspace Techniques;Journal of Scientific Computing;2021-07-20

2. A general adaptive finite element eigen-algorithm stemming from Wittrick-Williams algorithm;Thin-Walled Structures;2021-04

3. Adaptive finite element analysis of free vibration of elastic membranes via element energy projection technique;Engineering Computations;2021-03-29

4. Smoothed-Adaptive Perturbed Inverse Iteration for Elliptic Eigenvalue Problems;Computational Methods in Applied Mathematics;2021-03-12

5. Deep Neural Network Model for Approximating Eigenmodes Localized by a Confining Potential;Entropy;2021-01-11