کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4958492 | 1364817 | 2017 | 19 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Mimetic finite difference methods for Hamiltonian wave equations in 2D
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موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Mimetic finite difference methods for Hamiltonian wave equations in 2D Mimetic finite difference methods for Hamiltonian wave equations in 2D](/preview/png/4958492.png)
چکیده انگلیسی
In this paper we consider the numerical solution of the Hamiltonian wave equation in two spatial dimensions. We construct a two step procedure in which we first discretize the space by the Mimetic Finite Difference (MFD) method and then we employ a standard symplectic scheme to integrate the semi-discrete Hamiltonian system derived. The main characteristic of the MFD methods, when applied to stationary problems, is to mimic important properties of the continuous system. This approach yields a full numerical procedure suitable to integrate Hamiltonian problems. A complete theoretical analysis of the method and some numerical simulations are developed in the paper.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 74, Issue 5, 1 September 2017, Pages 1123-1141
Journal: Computers & Mathematics with Applications - Volume 74, Issue 5, 1 September 2017, Pages 1123-1141
نویسندگان
L. Beirão da Veiga, L. Lopez, G. Vacca,