22 July 1993 Numerical analysis of curved C1-finite element methods: applications to thin-plate and thin-shell problems
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Abstract
Thin plate and thin shell problems are generally set on plane reference domains with a curved boundary. Their approximation by conforming finite element methods requires C1- curved finite elements entirely compatible with the associated C1-rectilinear finite elements. In this contribution, we introduce a C1-curved finite element compatible with the P5-Argyris element, we study its approximation properties, and then, we use such an element to approximate the solution of thin plate or thin shell problems set on a plane curved boundary domain. Finally, we discuss the use of such C1-curved elements to approximate junctions between thin shells.
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Michel J. M. Bernadou, Michel J. M. Bernadou, } "Numerical analysis of curved C1-finite element methods: applications to thin-plate and thin-shell problems", Proc. SPIE 1919, Smart Structures and Materials 1993: Mathematics in Smart Structures, (22 July 1993); doi: 10.1117/12.148430; https://doi.org/10.1117/12.148430
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