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Title: Reproducing kernel particle method and its modification (English)
Author: Mošová, Vratislava
Language: English
Journal: Mathematica Bohemica
ISSN: 0862-7959 (print)
ISSN: 2464-7136 (online)
Volume: 135
Issue: 4
Year: 2010
Pages: 383-392
Summary lang: English
Category: math
Summary: Meshless methods have become an effective tool for solving problems from engineering practice in last years. They have been successfully applied to problems in solid and fluid mechanics. One of their advantages is that they do not require any explicit mesh in computation. This is the reason why they are useful in the case of large deformations, crack propagations and so on. Reproducing kernel particle method (RKPM) is one of meshless methods. In this contribution we deal with some modifications of the RKPM. The construction of the methods considered is given together with simple examples of their applications to solving boundary value problems. (English)
Keyword: meshless method
Keyword: partition of unity
Keyword: reproducing kernel particle method
Keyword: reproducing kernel hierarchical partition of unity
Keyword: enriched reproducing kernel particle method
MSC: 65L60
MSC: 65N30
idZBL: Zbl 1224.65270
idMR: MR2681012
DOI: 10.21136/MB.2010.140829
Date available: 2010-11-24T08:26:06Z
Last updated: 2020-07-29
Stable URL:
Reference: [1] Babuška, I., Banerjee, U., Osborn, J. E.: Survey of meshless and generalized finite element methods: A unified approach.Acta Numer. 12 (2003), 1-125. Zbl 1048.65105, MR 2249154, 10.1017/S0962492902000090
Reference: [2] Chen, J. S., Pan, C., Wu, C. T.: Large deformation analysis of rubber based on a reproducing kernel particle methods.Comput. Mech. 19 (1997), 211-227. MR 1443057, 10.1007/s004660050170
Reference: [3] Chen, J. S., Pan, C., Wu, C. T., Liu, W. K.: Reproducing kernel particle methods for large deformation analysis of non-linear structures.Comput. Methods Appl. Mech. Engrg. 139 (1996), 195-227. MR 1426009, 10.1016/S0045-7825(96)01083-3
Reference: [4] Joyot, P., Trunzier, J., Chinesta, F.: Enriched reproducing kernel approximation: Reproducing functions with discontinuous derivatives.Meshfree methods for partial differential equation II, Springer, Berlin, 2004, pp. 93-107. MR 2278265
Reference: [5] Li, S., Liu, W. K.: Reproducing kernel hierarchical partition of unity.Internat. J. Numer. Methods Engrg. 45 (1999), 251-317. Zbl 0945.74079, MR 1688030, 10.1002/(SICI)1097-0207(19990530)45:3<251::AID-NME583>3.0.CO;2-I


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