Konvergenzaussagen für Projektionsverfahren bei linearen Operatoren

Summary Convergence of different projection methods for linear operators is proved using relatively simple abstract theorems which show common foundations. This is applied to the well-known methods for two-point boundary value problems (Ritz-Galerkin, least squares, collocation). Special emphasis is laid on results about convergence in different norms generalizing some theorems of Nitsche.The form of the results makes it easy to apply them to nonlinear operators and to treat the influence of quadrature formulas.

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Dieser Aufsatz enthält Ergebnisse aus der Dissertation des Verfassers, die von Prof. Dr. J. Schröder, Köln, angeregt und unterstützt wurde.