A volumetric integral radial basis function method for time-dependent partial differential equations. I. Formulation

By Edward J. Kansa, Henry Power, Gregory E. Fasshauer, Leevan Ling. 2004

90 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/c31f783e5b1a373b30b289eaa370d79075bb92c8

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. Shengyin Wang
2. Michael Y. Wang
3. Xu Guo
4. Weisheng Zhang
5. Yingjun Wang
6. Jianhua Zhou
7. Xuefeng Zhu
8. Jishu Chen

In Mechanics of Materials

1. Michael Y. Wang
2. Shengyin Wang
3. Jianhua Zhou
4. Weisheng Zhang
5. Xu Guo
6. Yingjun Wang
7. Alvise Sommariva
8. Marco Vianello

Citations in the corpus

• Explicit three dimensional topology optimization via Moving Morphable Void (MMV) approach (2017, methodology): “We refer the readers to [23, 28-31] for the 2D treatments where the TDFs are constructed with use of a center point and a radial distance function associated with the boundary of a star-shaped region.”
• Radial basis functions and level set method for structural topology optimization (2006, methodology): “The implicit level set function is approximated by using the RBF implicit modeling with multiquadric (MQ) splines to achieve a high level of accuracy and smoothness [45].”
• Numerical Cubature on Scattered Data by Radial Basis Functions (2005, background): “[2]) and the “volume integral formulation” of the time dependent conservation equations proposed in [19].”