Abstract
In this paper we discuss spectral properties of operators associated with the least-squares finite-element approximation of elliptic partial differential equations. The convergence of the discrete eigenvalues and eigenfunctions towards the corresponding continuous eigenmodes is studied and analyzed with the help of appropriate $L^2$ error estimates. A priori and a posteriori estimates are proved.
Original language | English |
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Pages (from-to) | 1339–1363 |
Number of pages | 25 |
Journal | IMA Journal of Numerical Analysis |
Volume | 42 |
Issue number | 2 |
Early online date | 4 Mar 2021 |
DOIs | |
Publication status | Published - Apr 2022 |
Keywords
- UT-Hybrid-D