Implicit-Explicit Finite Elements in Transient Analysis: Stability Theory

[+] Author and Article Information
T. J. R. Hughes, W. K. Liu

Division of Engineering and Applied Science, California Institute of Technology, Pasadena, Calif.

J. Appl. Mech 45(2), 371-374 (Jun 01, 1978) (4 pages) doi:10.1115/1.3424304 History: Received August 01, 1977; Revised December 01, 1977; Online July 12, 2010


A stability analysis is carried out for a new family of implicit-explicit finite-element algorithms. The analysis shows that unconditional stability may be achieved for the implicit finite elements and that the critical time step of the explicit elements governs for the system.

Copyright © 1978 by ASME
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