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Gewählte Publikation:

Zhou, MZ; Zhang, BY; Chen, TL; Peng, C; Fang, HC.
(2020): A three-field dual mortar method for elastic problems with nonconforming mesh
COMPUT METHOD APPL M. 2020; 362, 112870 FullText FullText_BOKU

Conventional two-field mortar methods have master/slave bias and need special treatments for the cross corner problem. In this work, we present a three-field dual mortar method, which employs an intermediate interface to connect individual subdomains with nonconforming meshes. Using this intermediate interface as the master face, a dual mortar method can be formulated by discretizing Lagrange multipliers on the subdomain interfaces using dual basis functions. Furthermore, the computational cost is minimized by static condensation of Lagrange multipliers and elimination of displacement unknowns on subdomain interfaces. Owing to the three-field formulation, the presented method is free of master/slave bias and can handle the cross corner problem naturally. The stability condition for the intermediate interface mesh is investigated by theoretical analysing and numerical modelling. Numerical tests show that the presented method has optimal convergence rate and allows great flexibility in mesh preparation. (C) 2020 Elsevier B.V. All rights reserved.
Autor/innen der BOKU Wien:
Peng Chong
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Find related publications in this database (Keywords)
Three-field formulation
Dual mortar method
Nonconforming mesh
Cross corner
Stability condition

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