Error analysis of Nitsche’s mortar method

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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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2019-08-01

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Department of Mathematics and Systems Analysis

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en

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22
973-994

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Numerische Mathematik, Volume 142, issue 4

Abstract

Optimal a priori and a posteriori error estimates are derived for three variants of Nitsche’s mortar finite elements. The analysis is based on the equivalence of Nitsche’s method and the stabilised mixed method. Nitsche’s method is defined so that it is robust with respect to large jumps in the material and mesh parameters over the interface. Numerical results demonstrate the robustness of the a posteriori error estimators.

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DOI

10.1007/s00211-019-01039-5

Citation

Gustafsson, T, Stenberg, R & Videman, J 2019, ' Error analysis of Nitsche’s mortar method ', Numerische Mathematik, vol. 142, no. 4, pp. 973-994 . https://doi.org/10.1007/s00211-019-01039-5

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https://urn.fi/URN:NBN:fi:aalto-202001021056

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[article-cris] Perustieteiden korkeakoulu / SCI