A MULTI-PARAMETER SPLITTING EXTRAPOLATION AND A PARALLEL ALGORITHM FOR ELLIPTIC EIGENVALUE PROBLEM

A MULTI-PARAMETER SPLITTING EXTRAPOLATION AND A PARALLEL ALGORITHM FOR ELLIPTIC EIGENVALUE PROBLEM

The finite element solutions of elliptic eigenvalue equations are shown to have a multi-parameter asymptotic error expansion. Based on this expansion and a splitting extrapolation technique, a parallel algorithm for solving multi-dimensional equations with high order accuracy is developed.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of computational mathematics 1998-05, Vol.16 (3), p.213-220
Hauptverfasser: Liao, Xiao-hai, Zhou, Ai-hui
Format: Artikel
Sprache:eng
Schlagworte:
Academia
Algorithms
Approximation
Eigenfunctions
Eigenvalues
Finite element method
Mathematical extrapolation
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:The finite element solutions of elliptic eigenvalue equations are shown to have a multi-parameter asymptotic error expansion. Based on this expansion and a splitting extrapolation technique, a parallel algorithm for solving multi-dimensional equations with high order accuracy is developed.
ISSN:0254-9409
1991-7139