Robust BDDC Preconditioners for Reissner–Mindlin Plate Bending Problems and MITC Elements
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چکیده
منابع مشابه
Robust BDDC Preconditioners for Reissner-Mindlin Plate Bending Problems and MITC Elements
A Balancing Domain Decomposition Method by Constraints (BDDC) is constructed and analyzed for the Reissner-Mindlin plate bending problem discretized with MITC finite elements. This BDDC algorithm is based on selecting the plate rotations and deflection degrees of freedom at the subdomain vertices as primal continuity constraints. After the implicit elimination of the interior degrees of freedom...
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0965-9978/$ see front matter 2009 Elsevier Ltd. A doi:10.1016/j.advengsoft.2009.12.011 * Corresponding author. E-mail address: [email protected] (K.J. Bathe). The analysis of plates can be achieved using the quadratic MITC plate or MITC shell elements. The plate elements have a strong mathematical basis and have been shown to be optimal in their convergence behavior, theoretically and numerically. Th...
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We consider the BDDC preconditioner for Reissner-Mindlin plate problems, discretized with the MITC element, introduced and analyzed in [11]. In that contribution the authors prove that the condition number of the ensuing linear system is independent of the plate thickness and scalable with respect to the mesh. We here prove, in addition, that the BDDC preconditioner of [11] is also quasi-optima...
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1 Dipartimento di Matematica, Università di Milano, Via Saldini 50, 20133 Milano, Italy, 5 [email protected], [email protected] 6 2 Dipartimento di Scienze e Tecnologie Avanzate, Università del Piemonte Orientale, Via 7 Bellini 25/G, I-15100 Alessandria, Italy, [email protected] 8 3 Dipartimento di Matematica, Università di Pavia, Via Ferrata 1, 27100 Pavia, Italy, 9 car...
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We consider the plate bending problem in the framework of the Reissner-Mindlin theory. For a clamped plate, the problem can be written in variational form as follows. Find (θ, w) ∈ (H 0 (Ω)) ×H 0 (Ω) : ∫ Ω Cε(θ) : ε(η) + μ t−2 ∫ Ω (∇w − θ) · (∇v − η) = ∫
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ژورنال
عنوان ژورنال: SIAM Journal on Numerical Analysis
سال: 2010
ISSN: 0036-1429,1095-7170
DOI: 10.1137/080717729