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Solving boundary-value problems using hp-version finite elements in time

✍ Scribed by Michael S. Warner; Dewey H. Hodges

Publisher: John Wiley and Sons
Year: 1998
Tongue: English
Weight: 130 KB
Volume: 43
Category: Article
ISSN: 0029-5981
DOI: 10.1002/(sici)1097-0207(19981015)43:3<425::aid-nme422>3.0.co;2-p

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✦ Synopsis

An hp-version ÿnite element method for one-dimensional boundary value problems is presented. The method is based on a similar approach developed by the authors for solution of optimal control problems. The primary applications for the methodology include two-point-and multi-point-boundary-value problems, for example, in the time domain. Results presented for a 7-state=3-phase missile problem show that the method is very e cient for time-marching applications. Furthermore, it easily solves time-domain problems with discontinuities in the system equations and=or in the states, where the time at which these jumps (i.e. 'events') take place is determined by equations that govern the states. An example involving friction with intermittent sticking is presented to illustrate the power of the method. ?

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