کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8900645 1631717 2018 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
C0 interior penalty methods for a dynamic nonlinear beam model
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
C0 interior penalty methods for a dynamic nonlinear beam model
چکیده انگلیسی
In this work, we aim to develop efficient numerical schemes for a nonlinear fourth-order partial differential equation arising from the so-called dynamic Gao beam model. We use C0 interior penalty finite element methods over the spatial domain to set up the semi-discrete formulations. Convergence results for the semi-discrete case are shown, based on a truncated variational formulation and its equivalent abstract formulations. We combine time discretizations to derive fully discrete numerical formulations. Newton's method is applied to compute one time step numerical solutions of a nonlinear system. Two numerical examples are provided: one supports our theoretical results and the other presents a buckling state of the Gao beams.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 339, 15 December 2018, Pages 685-700
نویسندگان
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