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Title
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Finite Element Methods of Nonlinear Operator Equations
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Description
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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.
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Creator
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Oden, J. T.
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Abstract
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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.
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Corporate Author
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University of Alabama in Huntsville
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Report Number
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AFFDL TR 71-160 p. 151-168
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Report Availability
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Full text available
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Publisher
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Wright-Patterson Air Force Base, OH : Air Force Flight Dynamics Laboratory, Air Force Systems Command and Air Force Institute of Technology, Air University
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Date
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1973
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Type
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article
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Date Issued
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1973-12
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Provenance
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Bombardier/Aero
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Distribution Classification
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1
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Distribution Conflict
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No
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DTIC Record Exists
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No
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Format
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1 online resource (19 pages) : ill.
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Extent
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19
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Identifier
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AD0785968
