کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6891781 1445340 2018 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Two-grid finite element method and its a posteriori error estimates for a nonmonotone quasilinear elliptic problem under minimal regularity of data
ترجمه فارسی عنوان
روش عدسی محدود دو بعدی و خطای آن پس از آن برای یک مسئله بیضوی نامتعادل غیرموتونیک تحت حداقل منظر داده ها
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
چکیده انگلیسی
In this paper, we propose and analyze a two-grid finite element method for a class of quasilinear elliptic problems under minimal regularity of data in a bounded convex polygonal Ω⊂R2, which can be thought of as a type of linearization of the nonlinear system using a solution from a coarse finite element space. With this technique, solving a quasilinear elliptic problem on the fine finite element space is reduced into solving a linear problem on the fine finite element space and solving the quasilinear elliptic problem on a coarse space. Convergence estimates in the H1-norm are derived to justify the efficiency of the proposed two-grid algorithm. Moreover, we propose a natural and computationally efficient residual-based a posteriori error estimator of the two-grid finite element method for this nonmonotone quasilinear elliptic problem and derive the global upper and lower bounds on the error in the H1-norm. Numerical experiments are provided to confirm our theoretical findings.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 76, Issue 1, 1 July 2018, Pages 98-112
نویسندگان
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