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).
BEIRAO DA VEIGA, L. (2004). Uniform error estimates for a class of intermediate cylindrical shell problems. NUMERISCHE MATHEMATIK, 96(4), 661-689 [10.1007/s00211-003-0484-7].
Uniform error estimates for a class of intermediate cylindrical shell problems
BEIRAO DA VEIGA, LOURENCO
2004
Abstract
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).
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