The Quarterly Journal of Mechanics and Applied Mathematics 1975 28(1):123-132; doi:10.1093/qjmam/28.1.123
© 1975 by Oxford University Press
A NOTE ON MIXED VARIATIONAL PRINCIPLES FOR INITIAL-VALUE PROBLEMS
J. N. REDDY
(
Texas Institute for Computational Mechanics, The University of Texas at Austin
)
Mixed variational principles are developed for a general class of linear initial-value problems of parabolic as well as hyperbolic type. The Euler equations are the governing differential equations of the problem as opposed to equivalent integro-differential equations of Gurtin's method. Examples are given for the heat conduction and the wave equations.

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