کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5128006 1489372 2017 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Error estimates for the full discretization of a semilinear parabolic problem with an unknown source
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Error estimates for the full discretization of a semilinear parabolic problem with an unknown source
چکیده انگلیسی

This paper is devoted to the study of an inverse semilinear parabolic problem. The problem contains an unknown solely time-dependent source function p and a homogeneous Dirichlet boundary condition. Moreover, an integral measurement of the total energy/mass in the domain is given. A full-discrete finite element scheme to approximate the unique weak solution is designed. For the time discretization backward Euler's method is used. For the space discretization the finite element method is applied. Various error estimates are derived, depending on the regularity of the data and on the choice of the finite elements.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematics and Computers in Simulation - Volume 142, December 2017, Pages 15-33
نویسندگان
, ,