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Numerical solution of obstacle problem by using the mesh-free radial point interpolation method | ||
Journal of Mathematical Modeling | ||
مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 17 تیر 1404 اصل مقاله (495.79 K) | ||
نوع مقاله: Research Article | ||
شناسه دیجیتال (DOI): 10.22124/jmm.2025.29905.2671 | ||
نویسندگان | ||
Ahmed Awad Nasser1؛ Masoud Allame* 2؛ Habeeb Abed Kadhim Aal-Rkhais3؛ Majid Tavassoli-Kajani1 | ||
1Department of Mathematics, Isfahan (Khorasgan) branch, Islamic Azad University, Isfahan, Iran | ||
2Department of Mathematics, Isfahan (Khorasgan) branch, Islamic Azad University, Isfahan, Iran | ||
3Department of Mathematics, College of Computer and Mathematics, University of Thi-Qar, Iraq | ||
چکیده | ||
The obstacle problem is a well-known type of elliptic variational inequality that originally arose from contact issues in solid mechanics. The solutions to the obstacle problem often have irregularities along a free boundary, which can be effective in designing an appropriate numerical method for these problems. In this paper, we present a mesh-free method based on the radial point interpolation method for numerically solving an obstacle problem. In the proposed method, the radial point interpolating shape functions are utilized in the global weak form of the obstacle problem, based on the element-free Galerkin method. This approach is combined with an active set strategy to address the obstacle problem. One of the key benefits of the proposed method is its independence from any mesh of the computing domain, along with its straightforward implementation and high numerical stability. To ensure the efficiency of the presented method, we have investigated the convergence of the proposed method. The obtained numerical results confirm the theoretical achievements and demonstrate the method's effectiveness and accuracy. | ||
کلیدواژهها | ||
Obstacle problem, variational inequality؛ meshfree method؛ radial points interpolation method | ||
آمار تعداد مشاهده مقاله: 7 تعداد دریافت فایل اصل مقاله: 1 |