کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4974737 1365546 2014 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A variational method for the numerical simulation of a boundary controllability problem for the linear and semilinear 1D wave equations
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر پردازش سیگنال
پیش نمایش صفحه اول مقاله
A variational method for the numerical simulation of a boundary controllability problem for the linear and semilinear 1D wave equations
چکیده انگلیسی
We pursue the numerical implementation of a boundary controllability problem for the 1D wave equation based on a recent variational approach to deal with such situations that consists in analyzing an error functional defined for feasible functions complying with appropriate initial, boundary, and final constraints. The nature of such scheme, as a minimization process for a certain error functional, leads to a natural numerical implementation by using typical descent algorithms. Our aim here is to explore the basic ingredients to set up such practical numerical approximations which allow us to address linear and semilinear equations with the same numerical scheme.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of the Franklin Institute - Volume 351, Issue 7, July 2014, Pages 3865-3882
نویسندگان
, ,