کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4642274 1341337 2008 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Guaranteed error bounds for finite element approximations of noncoercive elliptic problems and their applications
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Guaranteed error bounds for finite element approximations of noncoercive elliptic problems and their applications
چکیده انگلیسی

In this paper, we discuss with guaranteed a priori and a posteriori error estimates of finite element approximations for not necessarily coercive linear second order Dirichlet problems. Here, ‘guaranteed’ means we can get the error bounds in which all constants included are explicitly given or represented as a numerically computable form. Using the invertibility condition of concerning elliptic operator, guaranteed a priori and a posteriori error estimates are formulated. This kind of estimates plays essential and important roles in the numerical verification of solutions for nonlinear elliptic problems. Several numerical examples that confirm the actual effectiveness of the method are presented.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 218, Issue 1, 15 August 2008, Pages 106–115
نویسندگان
, ,