Monolithic discretization of linear thermoelasticity problems via adaptive multimesh h p -FEM

In linear thermoelasticity models, the temperature T and the displacement components u 1 , u 2 exhibit large qualitative differences: while T typically is very smooth everywhere in the domain, the displacements u 1 , u 2 have singular gradients (stresses) at re-entrant corners and edges. The mesh mu...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of computational and applied mathematics 2010-08, Vol.234 (7), p.2350-2357
Hauptverfasser: Solin, P., Cerveny, J., Dubcova, L., Andrs, D.
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In linear thermoelasticity models, the temperature T and the displacement components u 1 , u 2 exhibit large qualitative differences: while T typically is very smooth everywhere in the domain, the displacements u 1 , u 2 have singular gradients (stresses) at re-entrant corners and edges. The mesh must be extremely fine in these areas so that stress intensity factors are resolved sufficiently. One of the best available methods for this task is the exponentially-convergent h p -FEM. Note, however, that standard adaptive h p -FEM approximates all three fields u 1 , u 2 and T on the same mesh, and thus it treats T as if it were singular at re-entrant corners as well. Therefore, a large number of degrees of freedom of temperature are wasted. This motivates us to approximate the fields u 1 , u 2 and T on individual h p -meshes equipped with mutually independent h p -adaptivity mechanisms. In this paper we describe mathematical and algorithmic aspects of the novel adaptive multimesh h p -FEM, and demonstrate numerically that it performs better than the standard adaptive h -FEM and h p -FEM.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2009.08.092