CORNERS GIVE PROBLEMS WHEN DECOUPLING FOURTH ORDER EQUATIONS INTO SECOND ORDER SYSTEMS

Decoupling a fourth order elliptic boundary value problem into a system of second order equations may give an alternative approach to obtaining a solution for the original problem. The system approach is usually preferred for numerical methods since one may use piecewise linear finite elements to ap...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:SIAM journal on numerical analysis 2012-01, Vol.50 (3), p.1604-1623
Hauptverfasser: GERASIMOV, TYMOFIY, STYLIANOU, ATHANASIOS, SWEERS, GUIDO
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:Decoupling a fourth order elliptic boundary value problem into a system of second order equations may give an alternative approach to obtaining a solution for the original problem. The system approach is usually preferred for numerical methods since one may use piecewise linear finite elements to approximate a solution. In this note we compare both settings for the plate equation and prove that for planar domains with corners the system approach may fail to produce the correct solution.
ISSN:0036-1429
1095-7170
DOI:10.1137/100806151