Finite Element Methods of Nonlinear Operator Equations

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Report Number: AFFDL TR 71-160 p. 151-168
Author(s): Oden, J. T.
Corporate Author(s): University of Alabama in Huntsville
Date of Publication: 1973-12
Pages: 19
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Identifier: This paper is part of a conference proceedings. See AD0785968

The formulation of finite-element models of nonlinear potential operators is presented in this paper. The variational theorems of Mikhlin are extended to nonlinear and nonpositive operators using the theory of Vainberg on potential operators. Completeness and convergence criteria for certain nonlinear boundary-value problems are examined. A method for constructing variational principles for nonlinear operators that do not satisfy the potentiality conditions is presented. Examples are given which involve nonlinear partial differential equations and integral equations.

Provenance: Bombardier/Aero

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