کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4635753 1340714 2006 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Energy conservation and symplectic properties of continuous finite element methods for Hamiltonian systems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Energy conservation and symplectic properties of continuous finite element methods for Hamiltonian systems
چکیده انگلیسی

Using continuous finite element methods of ordinary differential equation, we can get the first, second, third order continuous finite element methods for linear Hamiltonian systems which are symplectic and conserve energy. In addition, the second order continuous finite element methods for nonlinear Hamiltonian systems are approximately symplectic on third order accuracy, as well as they conserve energy. The numerical results are in agreement with theory.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 181, Issue 2, 15 October 2006, Pages 1357–1368
نویسندگان
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