Title: A priori estimates for mixed finite element approximations of
second order hyperbolic equations with absorbing boundary conditions

Authors:  Lawrence C. Cowsar, Mary F. Wheeler, Todd F. Dupont

Date:  18 May, 1994


Of the authors listed above, please indicate which are:

  Minority authors:

  Female authors:    Mary F. Wheeler

  Student authors:   Lawrence C. Cowsar


Keywords (list up to 8):

mixed finite element methods, second order hyperbolic equations, absorbing boundary conditions

Abstract:

Optimal order $L^\infty$-in-time, $L^2$-in-space a priori error
estimates are derived for mixed finite element approximations for both
displacement and stress for a second order hyperbolic equation with first
order absorbing boundary conditions. Continuous-in-time,
explicit-in-time, and implicit-in-time procedures are formulated and analyzed.


Publication History:

  Submitted to: 

  Published in: To appear in SIAM J. Num. Anal.