Abstract
Two approaches for the discretization of operator equations are considered. The first one is motivated by the so-called projection methods, such as Galerkin, for the approximation of the solution of nonlinear equations, and the second type is derived from a class of finite difference approximations. Commutativity of differentiation and discretization is established for the two types of discretizations. Applications of the theory to some techniques in structural computations are also discussed. The commutativity theory developed here does not involve the verification of the “d-compatibility” condition of the theory of Ortega and Rheinboldt.
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