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- W4384615903 abstract "We present and analyze a new hybridizable discontinuous Galerkin method (HDG) for the Reissner-Mindlin plate bending system. Our method is based on the formulation utilizing Helmholtz Decomposition. Then the system is decomposed into three problems: two trivial Poisson problems and a perturbed saddle-point problem. We apply HDG scheme for these three problems fully. This scheme yields the optimal convergence rate ($(k+1)$th order in the $mathrm{L}^2$ norm) which is uniform with respect to plate thickness (locking-free) on general meshes. We further analyze the matrix properties and precondition the new finite element system. Numerical experiments are presented to confirm our theoretical analysis." @default.
- W4384615903 created "2023-07-18" @default.
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- W4384615903 date "2023-07-14" @default.
- W4384615903 modified "2023-09-24" @default.
- W4384615903 title "Locking-free HDG methods for Reissner-Mindlin plates equations on polygonal meshes" @default.
- W4384615903 doi "https://doi.org/10.48550/arxiv.2307.07387" @default.
- W4384615903 hasPublicationYear "2023" @default.
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