Numerical solution of potential problems using radial basis reproducing kernel particle method
The paper presents the radial basis reproducing kernel particle method (RRKPM) for potential problems. The proposed RRKPM can eliminate the negative effect of different reproducing kernel functions (RKF) on computational stability and accuracy. The integral weak form is used to derive a discretized...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2019-06-01
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| Series: | Results in Physics |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379719300099 |
| _version_ | 1811322316045418496 |
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| author | Hongfen Gao Gaofeng Wei |
| author_facet | Hongfen Gao Gaofeng Wei |
| author_sort | Hongfen Gao |
| collection | DOAJ |
| description | The paper presents the radial basis reproducing kernel particle method (RRKPM) for potential problems. The proposed RRKPM can eliminate the negative effect of different reproducing kernel functions (RKF) on computational stability and accuracy. The integral weak form is used to derive a discretized system equation for potential problem, and the essential boundary condition is imposed by the Lagrange interpolation method, the corresponding governing equations of RRKPM are investigated and obtained. Compared with the conventional RKPM, the RRKPM has higher computational stability and accuracy. Finally, the RRKPM is applied to numerical simulation of potential problems, and the accuracy and stability of the RRKPM can be illustrated by the two numerical results. Keywords: Radial basis functions, Meshless methods, Reproducing kernel particle method, The Lagrange interpolation method, Potential problems |
| first_indexed | 2024-04-13T13:33:05Z |
| format | Article |
| id | doaj.art-d59dd358315f4c59bb3fc17c719c04ed |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-04-13T13:33:05Z |
| publishDate | 2019-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-d59dd358315f4c59bb3fc17c719c04ed2022-12-22T02:44:53ZengElsevierResults in Physics2211-37972019-06-0113Numerical solution of potential problems using radial basis reproducing kernel particle methodHongfen Gao0Gaofeng Wei1College of Mechanical and Electrical Engineering, Shandong Management University, Shandong 250357, ChinaSchool of Mechanical and Automotive Engineering, Qilu University of Technology (Shandong Academy of Sciences), Shandong 250353, China; Corresponding author.The paper presents the radial basis reproducing kernel particle method (RRKPM) for potential problems. The proposed RRKPM can eliminate the negative effect of different reproducing kernel functions (RKF) on computational stability and accuracy. The integral weak form is used to derive a discretized system equation for potential problem, and the essential boundary condition is imposed by the Lagrange interpolation method, the corresponding governing equations of RRKPM are investigated and obtained. Compared with the conventional RKPM, the RRKPM has higher computational stability and accuracy. Finally, the RRKPM is applied to numerical simulation of potential problems, and the accuracy and stability of the RRKPM can be illustrated by the two numerical results. Keywords: Radial basis functions, Meshless methods, Reproducing kernel particle method, The Lagrange interpolation method, Potential problemshttp://www.sciencedirect.com/science/article/pii/S2211379719300099 |
| spellingShingle | Hongfen Gao Gaofeng Wei Numerical solution of potential problems using radial basis reproducing kernel particle method Results in Physics |
| title | Numerical solution of potential problems using radial basis reproducing kernel particle method |
| title_full | Numerical solution of potential problems using radial basis reproducing kernel particle method |
| title_fullStr | Numerical solution of potential problems using radial basis reproducing kernel particle method |
| title_full_unstemmed | Numerical solution of potential problems using radial basis reproducing kernel particle method |
| title_short | Numerical solution of potential problems using radial basis reproducing kernel particle method |
| title_sort | numerical solution of potential problems using radial basis reproducing kernel particle method |
| url | http://www.sciencedirect.com/science/article/pii/S2211379719300099 |
| work_keys_str_mv | AT hongfengao numericalsolutionofpotentialproblemsusingradialbasisreproducingkernelparticlemethod AT gaofengwei numericalsolutionofpotentialproblemsusingradialbasisreproducingkernelparticlemethod |