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On the Error Behavior of the Reduced Basis Technique for Nonlinear Finite Element Approximations
J. P. Fink, W. C. Rheinboldt
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Source: Crossref
Published: Jan 1, 1983
DOI: 10.1002/zamm.19830630105
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Abstract This paper provides a theoretical foundation for the reduced basis technique and gives mathematical reasons for its effectiveness. Some rather general results about the existence of solution curves for a large class of nonlinear problems are developed. These results are then used to derive estimates between an exact solution curve and its reduced basis approximation.
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