An analysis of a finite element method for a system of partial differential equations having a noncoercive stationary part is developed. Applications to the vibrations of an elastic plate and to Schrodinger's equation are discussed. For the semidiscrete problem and for two implicit difference schemes convergence results in the L**2-norm and in the energy norm are proved. Finally some results related to model problems are shown.

MIXED APPROXIMATIONS OF EVOLUTION PROBLEMS

QUARTERONI, ALFIO MARIA
1980

Abstract

An analysis of a finite element method for a system of partial differential equations having a noncoercive stationary part is developed. Applications to the vibrations of an elastic plate and to Schrodinger's equation are discussed. For the semidiscrete problem and for two implicit difference schemes convergence results in the L**2-norm and in the energy norm are proved. Finally some results related to model problems are shown.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11311/669771
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