Temat: waveform relaxation

Skocz do pozycji: 1.

Tytuł:: Frequency analysis of preconditioned waveform relaxation iterations
Autorzy:: Augustynowicz, Andrzej
Jackiewicz, Zdzisław
Tematy:: error analysis
waveform relaxation
convergence
preconditioning
splitting; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Powiązania:: https://bibliotekanauki.pl/articles/1338848.pdf Link otwiera się w nowym oknie
Opis:: The error analysis of preconditioned waveform relaxation iterations for differential systems is presented. This analysis extends and refines previous results by Burrage, Jackiewicz, Nørsett and Renaut by incorporating all terms in the expansion of the error of waveform relaxation iterations in the Laplace transform domain. Lower bounds for the size of the window of rapid convergence are also obtained. The theory is illustrated for waveform relaxation methods applied to differential systems resulting from semi-discretization of the heat equation in one and two dimensions. This theory and some heuristic arguments predict that preconditioning is most effective for the first few iterations.
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Remarks on the gluing algorithm for multibody systems co-simulation
Autorzy:: Tomulik, P.
Frączek, J.
Tematy:: simulator coupling
co-simulation
waveform relaxation
dynamic iteration
multibody system dynamics; Pokaż więcej
Wydawca:: Fundacja na Rzecz Młodych Naukowców
Powiązania:: https://bibliotekanauki.pl/articles/115845.pdf Link otwiera się w nowym oknie
Opis:: This paper briefs a part of authors’ study on co-simulation techniques and their application to multibody system dynamics. The main concern of the study is on construction and properties of algorithms that are suitable for such purpose. One of the proposed methods from literature is so-called “gluing-algorithm” by Wang et al. These authors proposed Newton iteration to couple several simulators of mechanical subsystems through constraints/reactions, and provided numerical examples to suggest efficiency of the method. Here we re-investigate the method in order to underline some problems that one might meet when using the “gluingalgorithm”.
Dostawca treści:: Biblioteka Nauki

Artykuł

Informacja