A generalized approximation for the meshfree analysis of solids
By Cheng‐Tang Wu, C. Park, Jiun-Shyan Chen. 2011
75 citations recorded by the source corpus.
Subfields: Civil and Structural Engineering, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/b573abe1f9fd3b1061cdce0550594ea614034337
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Civil and Structural Engineering
- Xiaoying Zhuang
- Hehua Zhu
- Charles E. Augarde
- Masataka Koishi
- W. Hu
- Cheng‐Tang Wu
- Timon Rabczuk
- Hong Zheng
In Mechanics of Materials
- Xiaoying Zhuang
- Hehua Zhu
- Charles E. Augarde
- Masataka Koishi
- W. Hu
- Cheng‐Tang Wu
- Timon Rabczuk
- Hong Zheng
Citations in the corpus
- An improved meshless Shepard and least squares method possessing the delta property and requiring no singular weight function (2014, methodology): “Some widely used meshless approximations are the moving least-squares (MLS) approximation, Shepard shape functions, partition of unity (PU), radial basis functions (RBF), reproducing kernel particle approximation (RKPA) [14,15], point interpolation (PI) and Kriging interpolation (KI) and a generaliz”
- Meshfree Methods: Progress Made after 20 Years (2017, unknown): “…the introduction of a generalization of MLS, RK, and ME approximations, where consistency, convexity, and the weak Kronecker delta property can be obtained in various combinations such as MLS with weak Kronecker delta at the boundary, and higher order convex approximations (Wu et al. 2011, 2015).”
- A displacement smoothing induced strain gradient stabilization for the meshfree Galerkin nodal integration method (2015, methodology): “In all test cases, we have used the meshfree convex approximations [37] to simplify the boundary condition enforcement.”