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Automatic generation of octree-based three-dimensional discretizations for Partition of Unity methods

✍ Scribed by O. Klaas; M. S. Shephard


Publisher
Springer
Year
2000
Tongue
English
Weight
573 KB
Volume
25
Category
Article
ISSN
0178-7675

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πŸ“œ SIMILAR VOLUMES


The generalized product partition of uni
✍ Hae-Soo Oh; Woo Jeong Jae; Tak Hong Won πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 903 KB

The partition of unity is an essential ingredient for meshless methods named by GFEM, PUFEM (partition of unity FEM), XFEM (extended FEM), RKPM (reproducing kernel particle method), RPPM (reproducing polynomial particle method), the method of hp clouds in the literature. There are two popular choice

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This study explores a numerical analysis scheme, the manifold method, within the framework of the partition of unity method. The manifold method is rooted in the discrete element method and has been used in solving discretecontinuum interaction problems. At its core, two meshes are employed in an an

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element methods (PUFEM) Shepard functions Convolution partition of unity functions Condition numbers of stiffness matrices a b s t r a c t A partition of unity (PU) function is an essential component of the generalized finite element method (GFEM). The popular Shepard PU functions, which are rationa