کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4637672 1631978 2017 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Analysis and approximation of a nonlocal obstacle problem
ترجمه فارسی عنوان
تجزیه و تحلیل و تقریب یک مشکل مانع غیر موازی
کلمات کلیدی
مشکلات موانع، نابرابری متغیر غیر محلی، لاپلاسای مکرر، انسانی، خوب بودن، روش های عنصر محدود
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی
An obstacle problem for a nonlocal operator is considered; the operator is a nonlocal integral analogue of the Laplacian operator and, as a special case, reduces to the fractional Laplacian. In the analysis of classical obstacle problems for the Laplacian, the obstacle is taken to be a smooth function. For the nonlocal obstacle problem considered here, obstacles are allowed to have jump discontinuities. We cast the nonlocal obstacle problem as a minimization problem wherein the solution is constrained to lie above the obstacle. We prove the existence and uniqueness of a solution in an appropriate function space. Then, the well posedness and convergence of finite element approximations are demonstrated. The results of numerical experiments are provided that illustrate the theoretical results and the differences between solutions of local, i.e., partial differential equation, and nonlocal obstacle problems.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 313, 15 March 2017, Pages 102-118
نویسندگان
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