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meshless method; partition of unity; reproducing kernel particle method; reproducing kernel hierarchical partition of unity; enriched reproducing kernel particle method

References:

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[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

[5] Li, S., Liu, W. K.: **Reproducing kernel hierarchical partition of unity**. Internat. J. Numer. Methods Engrg. 45 (1999), 251-317. DOI 10.1002/(SICI)1097-0207(19990530)45:3<251::AID-NME583>3.0.CO;2-I | MR 1688030 | Zbl 0945.74079