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Application of the meshless interpolating element-free Galerkin method for the numerical solution of obstacle problem | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 10 شهریور 1404 اصل مقاله (1.34 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2025.64932.2959 | ||
| نویسندگان | ||
| Ahmed Awad Nasser1؛ Masoud Allame* 1؛ Habeeb Abed Kadhim Aal-Rkhais2؛ Majid Tavassoli Kajani1 | ||
| 1Department of Mathematics, Isfahan (Khorasgan) Branch, Islamic Azad University, Isfahan, Iran. | ||
| 2Department of Mathematics, College of Computer and Mathematics, University of Thi-Qar, Iraq. | ||
| چکیده | ||
| The obstacle problem is a speci fic type of contact problem that can be formulated as a variational inequality or complementary problem in function spaces. Such problems often yield non-smooth solutions, making it challenging to fi nd a suitable numerical approximation. In this paper, we present a meshfree method for numerically solving an obstacle problem. In proposed method the interpolating moving least square approximation is utilized in element-free Galerkin approach. Implementing this method on a computer is straightforward and effective. To ensure the effciency of the proposed method, we have investigated the convergent of the proposed method . Additionally, we have solved several examples of the obstacle problem using the proposed method. The numerical results obtained con firm the theoretical achievements and demonstrate the method's effectiveness and accuracy. | ||
| کلیدواژه‌ها | ||
| Obstacle problem؛ Variational inequality؛ Active set method؛ Meshfree method | ||
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آمار تعداد مشاهده مقاله: 28 تعداد دریافت فایل اصل مقاله: 32 |
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