کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6892080 1445347 2018 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Superconvergence of least-squares methods for a coupled system of elliptic equations
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Superconvergence of least-squares methods for a coupled system of elliptic equations
چکیده انگلیسی
We present a numerical method for solving a coupled system of elliptic partial differential equations (PDEs). Our method is based on the least-squares (LS) approach. We develop ellipticity estimates and error bounds for the method. The main idea of the error estimates is the establishment of supercloseness of the LS solutions, and solutions of the mixed finite element methods and Ritz projections. Using the supercloseness property, we obtain L2-norm error estimates, and the error estimates for each quantity of interest show different convergence behaviors depending on the choice of the approximation spaces. Moreover, we present maximum norm error estimates and construct asymptotically exact a posteriori error estimators under mild conditions. Application to optimal control problems is briefly considered.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 75, Issue 6, 15 March 2018, Pages 2059-2070
نویسندگان
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