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Uniform error estimates for a class of intermediate cylindrical shell problems

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Summary.

A uniform in thickness error estimate is obtained for a particular class of intermediate Koiter shell problems, solved with a classical conforming finite element method. The model problem is that of a cylinder under a class of irregular loads which, due to particular symmetries, allow a simplified reformulation on a one dimensional domain. The result is an almost h s error behavior in the H −1 dual norm, were s>0 depends on the load regularity. Such estimate is believable to be sharp (this additional claim is supported by some numerical tests).

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Pavia, Via Ferrata 1, 27100 , Pavia, Italy

    L. Beirão da Veiga

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  1. L. Beirão da Veiga
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Correspondence to L. Beirão da Veiga.

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Mathematics Subject Classification (2000): 65N30

Received: 17, October 2001

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Veiga, L. Uniform error estimates for a class of intermediate cylindrical shell problems. Numer. Math. 96, 661–689 (2004). https://doi.org/10.1007/s00211-003-0484-7

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  • DOI: https://doi.org/10.1007/s00211-003-0484-7

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