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Keywords:
meshless method; partition of unity; reproducing kernel particle method; reproducing kernel hierarchical partition of unity; enriched reproducing kernel particle method
meshless method; partition of unity; reproducing kernel particle method; reproducing kernel hierarchical partition of unity; enriched reproducing kernel particle method
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References:
[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. MR 2249154 | Zbl 1048.65105
[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
[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
[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. MR 1688030 | Zbl 0945.74079
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