Document detail
ID
oai:arXiv.org:2403.18217
Topic
Mathematics - Numerical AnalysisAuthor
Hu, Jun Liu, Zhen Ma, Rui Wang, RuishuCategory
Computer Science
Year
2024
listing date
4/3/2024
Keywords
formulationAbstract
This paper proposes a mixed variational formulation for the problem of two coupled plates with a rigid {junction}.
The proposed mixed {formulation} introduces {the union of} stresses and moments as {an auxiliary variable}, which {are} commonly of great interest in practical applications.
The primary challenge lies in determining a suitable {space involving} both boundary and junction conditions of the auxiliary variable.
The {theory} of densely defined operators in Hilbert spaces is employed to define {a nonstandard Sobolev space} without the use of trace operators.
The well-posedness is established for the mixed formulation.
Based on these conditions, this paper provides a framework {of} conforming {mixed} finite element methods.
Numerical experiments are given to validate the theoretical results.
Hu, Jun,Liu, Zhen,Ma, Rui,Wang, Ruishu, 2024, Mixed Variational Formulation of Coupled Plates
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