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Feedback and adaptive finite element solution of one-dimensional boundary value problems

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This paper examines the concepts of feedback and adaptivity for the Finite Element Method. The model problem concernsC 0 elements of arbitrary, fixed degree for a one-dimensional two-point boundary value problem. Three different feedback methods are introduced and a detailed analysis of their adaptivity is given.

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Dedicated to F.L. Bauer on the occasion of his 60th birthday

This research was partially supported by the Office of Naval Research under grant number N00014-77-C-0623

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Bubuška, I., Vogelius, M. Feedback and adaptive finite element solution of one-dimensional boundary value problems. Numer. Math. 44, 75–102 (1984). https://doi.org/10.1007/BF01389757

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