Abstract
This paper is devoted to the convergence and optimality analysis of the adaptive Morley element method for the fourth order elliptic problem. A new technique is developed to establish a quasi-orthogonality which is crucial for the convergence analysis of the adaptive nonconforming method. By introducing a new parameter-dependent error estimator and further establishing a discrete reliability property, sharp convergence and optimality estimates are then fully proved for the fourth order elliptic problem. © 2012 Springer-Verlag.
Original language | English (US) |
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Pages (from-to) | 731-752 |
Number of pages | 22 |
Journal | Numerische Mathematik |
Volume | 121 |
Issue number | 4 |
DOIs | |
State | Published - Aug 1 2012 |
Externally published | Yes |
Bibliographical note
Generated from Scopus record by KAUST IRTS on 2023-02-15ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics