Uniform error estimates for a class of intermediate cylindrical shell problems |
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Authors: | Email author" target="_blank">L Beir?o da?VeigaEmail author |
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Institution: | (1) Dipartimento di Matematica, Università di Pavia, Via Ferrata 1, 27100 Pavia, Italy |
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Abstract: | 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 hs 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).
Mathematics Subject Classification (2000): 65N30Received: 17, October 2001 |
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