A BOUNDARY RADIAL POINT INTERPOLATION METHOD (BRPIM) FOR 2-D STRUCTURAL ANALYSES

By Yuantong T. Gu, Guirong Liu. 2003

92 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Electrical and Electronic Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/9df16c2244ed9b8bd33cee96a79a1d318640bb85

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

1. A. J. Ferreira
2. C. Roque
3. R. N. Jorge
4. Yumin Cheng
5. Kim-Meow Liew
6. S. Kitipornchai
7. Elyas Shivanian
8. Edward J. Kansa

In Electrical and Electronic Engineering

1. Yumin Cheng
2. Elyas Shivanian
3. Kim-Meow Liew
4. Pinghui Zhuang
5. Fawang Liu
6. R. N. Jorge
7. Nam Mai-Duy
8. S. Kitipornchai

In Mechanics of Materials

1. A. J. Ferreira
2. R. N. Jorge
3. C. Roque
4. Kim-Meow Liew
5. Yumin Cheng
6. Erasmo Carrera
7. S. Kitipornchai
8. Fawang Liu

Citations in the corpus

• Time‐dependent fractional advection–diffusion equations by an implicit MLS meshless method (2011, methodology): “This category of meshless methods includes the diffuse element method (DEM) [25], the elementfree Galerkin (EFG) method [21], the reproducing kernel particle method [26], and the point interpolation method (PIM) [27, 28], the meshless local Petrov–Galerkin (MLPG) method [29], the local radial point ”
• Static deformations and vibration analysis of composite and sandwich plates using a layerwise theory and RBF-PS discretizations with optimal shape parameter (2008, unknown): “Many other radial basis functions can be used as reviewed in the recent book of Liu [21] and in the recent works [22–27].”
• Static deformations and vibration analysis of composite and sandwich plates using a layerwise theory and multiquadrics discretizations (2005, methodology): “Many other radial basis functions can be used as reviewed in the recent book of Liu [38] and in recent works [39–44].”
• On the convergence analysis, stability, and implementation of meshless local radial point interpolation on a class of three‐dimensional wave equations (2016, methodology): “In this method, the shape functions have been constructed by the RPIM.”
• An implicit RBF meshless approach for time fractional diffusion equations (2011, methodology): “This category of meshless methods includes the element-free Galerkin (EFG) method [20], the reproducing kernel particle method (RKPM)[21], and the point interpolation method (PIM) [22,23], the meshless local Petrov-Galerkin (MLPG) method [24], the local radial point interpolation method (LRPIM) [25,”
• Solving high order ordinary differential equations with radial basis function networks (2005, methodology): “In this regard, many attempts based on high order approximation schemes were made (e.g. Viecelli [3]; Sallam and El-Hawary [4]; Esmail et al [5]; Gutierrez and Laura [6]; Wu and Liu [7,8,9]).”
• An enriched radial point interpolation method (e-RPIM) for analysis of crack tip fields (2010, methodology): “0 [13]) exactly without polynomial augmented.”
• Boundary element‐free method (BEFM) for two‐dimensional elastodynamic analysis using Laplace transform (2005, methodology): “Gu and Liu [9] have used the BRPIM to solve 2D structural problems.”