IGA. Robin Bouclier. Читать онлайн. Newlib. NEWLIB.NET

Автор: Robin Bouclier
Издательство: John Wiley & Sons Limited
Серия:
Жанр произведения: Математика
Год издания: 0
isbn: 9781119988540
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      where the bilinear form b is defined such that:

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      [1.43b] images

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      1.5.4. Nitsche coupling

      Unlike Mortar approaches, the coupling is established from a primal formulation in the Nitsche technique. This time, both of the interface Dirichlet and Neumann conditions [1.36] are enforced in a weak sense. More precisely, a connection between the Nitsche and Lagrange multiplier couplings can be made (see, for example, Fritz et al. (2004) and Bazilevs et al. (2012)). Starting with the Lagrange multiplier method, the idea to obtain the Nitsche method is to replace the Lagrange multiplier by the mean interface resultant force coming from the displacement. We therefore define the average of the stresses and of the virtual stresses as follows:

      and obtain the following Nitsche bilinear form:

      [1.45] images