Nitsche's Method for Kirchhoff Plates
نویسندگان
چکیده
Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 1 July 2020Accepted: 30 November 2020Published online: 10 May 2021Keywordsfinite elements, Nitsche's method, Kirchhoff plateAMS Subject Headings65N30Publication DataISSN (print): 1064-8275ISSN (online): 1095-7197Publisher: Society for Industrial and Applied MathematicsCODEN: sjoce3
منابع مشابه
A new C discontinuous Galerkin method for Kirchhoff plates
A general framework of constructing C discontinuous Galerkin (CDG) methods is developed for solving the Kirchhoff plate bending problem, following some ideas in [10, 12]. The numerical traces are determined based on a discrete stability identity, which lead to a class of stable CDG methods. A stable CDGmethod, called the LCDGmethod, is particularly interesting in our study. It can be viewed as ...
متن کاملA Morley finite element method for the displacement obstacle problem of clamped Kirchhoff plates
We study a Morley finite element method for the displacement obstacle problem of clamped Kirchhoff plates on polygonal domains. Error estimates are derived in the energy norm and the L∞ norm. The performance of the method is illustrated by numerical experiments. © 2013 Elsevier B.V. All rights reserved.
متن کاملA Quadratic C0 Interior Penalty Method for the Displacement Obstacle Problem of Clamped Kirchhoff Plates
Abstract. We study a quadratic C0 interior penalty method for the displacement obstacle problem of Kirchhoff plates with general Dirichlet boundary conditions on general polygonal domains. Under the conditions that the obstacles are sufficiently smooth and separated from each other and the boundary displacement, we prove that the magnitudes of the errors in the energy norm and the L∞ norm are O...
متن کاملSemi-Analytical Solution for Vibration of Nonlocal Piezoelectric Kirchhoff Plates Resting on Viscoelastic Foundation
Semi-analytical solutions for vibration analysis of nonlocal piezoelectric Kirchhoff plates resting on viscoelastic foundation with arbitrary boundary conditions are derived by developing Galerkin strip distributed transfer function method. Based on the nonlocal elasticity theory for piezoelectric materials and Hamilton's principle, the governing equations of motion and boundary conditions are ...
متن کاملbuckling of viscoelastic composite plates using the finite strip method
در سال های اخیر، تقاضای استفاده از تئوری خطی ویسکوالاستیسیته بیشتر شده است. با افزایش استفاده از کامپوزیت های پیشرفته در صنایع هوایی و همچنین استفاده روزافزون از مواد پلیمری، اهمیت روش های دقیق طراحی و تحلیل چنین ساختارهایی بیشتر شده است. این مواد جدید از خودشان رفتارهای مکانیکی ارائه می دهند که با تئوری های الاستیسیته و ویسکوزیته، نمی توان آن ها را توصیف کرد. این مواد، خواص ویسکوالاستیک دارند....
ذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SIAM Journal on Scientific Computing
سال: 2021
ISSN: ['1095-7197', '1064-8275']
DOI: https://doi.org/10.1137/20m1349801