Meshless methods: An overview and recent developments Export

@article{Belytschko+etal:1996, abstract = {Meshless approximations based on moving least-squares, kernels, and partitions of unity are examined. It is shown that the three methods are in most cases identical except for the important fact that partitions of unity enable p-adaptivity to be achieved. Methods for constructing discontinuous approximations and approximations with discontinuous derivatives are also described. Next, several issues in implementation are reviewed: discretization (collocation and Galerkin), quadrature in Galerkin and fast ways of constructing consistent moving least-square approximations. The paper concludes with some sample calculations.}, author = {Belytschko, T. and Krongauz, Y. and Organ, D. and Fleming, M. and Krysl, P.}, citeulike-article-id = {1968163}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/S0045-7825(96)01078-X}, citeulike-linkout-1 = {http://linkinghub.elsevier.com/retrieve/pii/S0045-7825(96)01078-X}, citeulike-linkout-2 = {http://www.sciencedirect.com/science/article/B6V29-41FDG4T-1/2/40ad74c148ea7749c32b86dad077c39b}, day = {15}, doi = {10.1016/S0045-7825(96)01078-X}, journal = {Computer Methods in Applied Mechanics and Engineering}, keywords = {meshfree, meshless, review, rkpm, sph}, month = {December}, number = {1-4}, pages = {3--47}, posted-at = {2007-11-23 19:31:39}, priority = {2}, title = {Meshless methods: An overview and recent developments}, url = {http://dx.doi.org/10.1016/S0045-7825(96)01078-X}, volume = {139}, year = {1996} }

TY - JOUR ID - Belytschko+etal:1996 L3 - citeulike-article-id:1968163 N2 - Meshless approximations based on moving least-squares, kernels, and partitions of unity are examined. It is shown that the three methods are in most cases identical except for the important fact that partitions of unity enable p-adaptivity to be achieved. Methods for constructing discontinuous approximations and approximations with discontinuous derivatives are also described. Next, several issues in implementation are reviewed: discretization (collocation and Galerkin), quadrature in Galerkin and fast ways of constructing consistent moving least-square approximations. The paper concludes with some sample calculations. IS - 1-4 JF - Computer Methods in Applied Mechanics and Engineering EP - 47 TI - Meshless methods: An overview and recent developments VL - 139 SP - 3 KW - meshfree KW - meshless KW - review KW - rkpm KW - sph AU - Belytschko, T AU - Krongauz, Y AU - Organ, D AU - Fleming, M AU - Krysl, P PY - 1996/12/15/ UR - http://dx.doi.org/10.1016/S0045-7825(96)01078-X ER -