Premium
Analysis of partitioned methods for the B iot System
Author(s) -
Bukac Martina,
Layton William,
Moraiti Marina,
Tran Hoang,
Trenchea Catalin
Publication year - 2015
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.21968
Subject(s) - coupling (piping) , stability (learning theory) , mathematics , work (physics) , key (lock) , flow (mathematics) , energy (signal processing) , mathematical optimization , computer science , geometry , thermodynamics , statistics , physics , engineering , mechanical engineering , computer security , machine learning
In this work, we present a comprehensive study of several partitioned methods for the coupling of flow and mechanics. We derive energy estimates for each method for the fully‐discrete problem. We write the obtained stability conditions in terms of a key control parameter defined as a ratio of the coupling strength and the speed of propagation. Depending on the parameters in the problem, give the choice of the partitioned method which allows the largest time step. © 2015 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 31: 1769–1813, 2015