Paper Info
Title
Higher-Order Generalized-Alpha Methods For Hyperbolic Problems
Abstract
Our work addresses the hitherto-unfulfilled need for higher-order methods with dissipation control when applying highly-accurate and robust isogeometric analysis. The popular generalized-alpha time-marching method provides second-order accuracy in time and controls the numerical dissipation in the high-frequency regions of the discrete spectrum. It includes a wide range of time integrators as particular cases selected by appropriate parameters. Nevertheless, to exploit the spatial discretization's high-accuracy, in practice, we require high-order time marching methods that handle the poor approximability in the discrete high-frequency range. Thus, we extend the generalized-alpha method to increase its order of accuracy while keeping the unconditional stability behavior and the attractive user-control feature on the high-frequency numerical dissipation. A single parameter controls the dissipation, and the update procedure has the same structure as the original second-order method. That is, our high-order schemes require simple modifications of the available implementations of the generalized-alpha method. (C) 2021 Elsevier B.V. All rights reserved.
Year
DOI
Venue
2019
10.1016/j.cma.2021.113725
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Keywords
DocType
Volume
Generalized-alpha method, High-order time integration, Spectrum analysis, Hyperbolic equation, Dissipation control, Stability analysis
Journal
378
ISSN
Citations 
PageRank 
0045-7825
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Pouria Behnoudfar100.34
Quanling Deng201.35
Victor M. Calo319138.14