A second-order decoupled algorithm with different subdomain time steps for the non-stationary Stokes/Darcy model

A second-order decoupled algorithm with different subdomain time steps for the non-stationary Stokes/Darcy model

In this paper, we propose and analyze a second-order decoupled algorithm with different subdomain time steps for the non-stationary Stokes/Darcy model. It is based on the second-order spectral deferred correction method in time and the finite element method in space. We provide the stability and con...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Numerical algorithms 2021-11, Vol.88 (3), p.1137-1182
Hauptverfasser: Xue, Dandan, Hou, Yanren
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Algorithms
Approximation
Computer Science
Finite element method
Kinematics
Lagrange multiplier
Methods
Numeric Computing
Numerical Analysis
Ordinary differential equations
Original Paper
Theory of Computation
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, we propose and analyze a second-order decoupled algorithm with different subdomain time steps for the non-stationary Stokes/Darcy model. It is based on the second-order spectral deferred correction method in time and the finite element method in space. We provide the stability and convergence results of our decoupled scheme. Last, some numerical experiments are given to illustrate the accuracy and effectiveness of our decoupled scheme.
ISSN:1017-1398
1572-9265
DOI:10.1007/s11075-021-01070-4