Cut Bogner-Fox-Schmit elements for plates-Reference-Cited by-同舟云学术

Cut Bogner-Fox-Schmit elements for plates

Published:2020-06-11 Issue:1 Volume:7 Page:
ISSN:2213-7467
Container-title:Advanced Modeling and Simulation in Engineering Sciences
language:en
Short-container-title:Adv. Model. and Simul. in Eng. Sci.

Author:

Burman Erik,Hansbo Peter^ORCID,Larson Mats G.

Abstract

AbstractWe present and analyze a method for thin plates based on cut Bogner-Fox-Schmit elements, which are

$$C^1$$

C1 elements obtained by taking tensor products of Hermite splines. The formulation is based on Nitsche’s method for weak enforcement of essential boundary conditions together with addition of certain stabilization terms that enable us to establish coercivity and stability of the resulting system of linear equations. We also take geometric approximation of the boundary into account and we focus our presentation on the simply supported boundary conditions which is the most sensitive case for geometric approximation of the boundary.

Funder

Stiftelsen för Strategisk Forskning

Vetenskapsrådet

Engineering and Physical Sciences Research Council

Swedish Research Programme Essence

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computer Science Applications,Engineering (miscellaneous),Modelling and Simulation

Link

https://link.springer.com/content/pdf/10.1186/s40323-020-00164-3.pdf

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