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
1980-01-01
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.File in questo prodotto:
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