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Convergence of Adaptive Finite Element Methods with Error-Dominated Oscillation

  • Christian KreuzerEmail author
  • Andreas Veeser
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 126)

Abstract

Recently, we devised an approach to a posteriori error analysis, which clarifies the role of oscillation and where oscillation is bounded in terms of the current approximation error. Basing upon this approach, we derive plain convergence of adaptive linear finite elements approximating the Poisson problem. The result covers arbritray H−1-data and characterizes convergent marking strategies.

Notes

Acknowledgements

AV gratefully acknowledges the support of the GNCS, which is a part of the Italian INdAM.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Technische Universität DortmundFakultät für MathematikDortmundGermany
  2. 2.Università degli Studi di MilanoDipartimento di Matematica F. EnriquesMilanoItaly

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