Finite cloud method: a true meshless technique based on a fixed reproducing kernel approximation

By N. Aluru, Gang Li. 2001

164 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/acc7d2df903dcebef05e6e1c0c5a24fc3fad5d0e

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In Civil and Structural Engineering

1. Xiaozhong Jin
2. Gang Li
3. S. De
4. N. Aluru
5. Ozgur Aktas
6. Khin Yong Lam
7. Hua Li
8. T. Y. Ng

In Mechanics of Materials

1. Xiaozhong Jin
2. S. De
3. N. Aluru
4. Gang Li
5. Ozgur Aktas
6. Khin Yong Lam
7. Hua Li
8. T. Y. Ng

Citations in the corpus

• A Combined Continuum/DSMC Technique for Multiscale Analysis of Microfluidic Filters (2002, methodology): “where NP is the total number of points in the domain � , and VI is the nodal volume associated with node I (see [ 17 ] for a discussion on nodal volumes).”
• Hermite–Cloud: a novel true meshless method (2003, methodology): “Figure 5(b) compares the convergence characteristics of the present Hermite–Cloud method with the finite cloud method [19] for this problem and it is noted that the convergence behaviour of the present Hermite–Cloud method is distinctly better.”
• A chemo-electro-mechanical mathematical model for simulation of pH sensitive hydrogels (2004, methodology): “The finite cloud method (Aluru and Li, 2001; Jin et al., 2001) has been used for the solution of the coupled chemo-electro-mechanical equations.”
• On the Equivalence Between Least-Squares and Kernel Approximations in Meshless Methods (2001, methodology): “In [Aluru and Li (2001), it was shown that the moving repoducing kernel technique is equivalent to a moving least-squares approach when the nodal volumes are set to unity (∆VI * 1) i.e. the interpolation functions computed by the moving reproducing kernel and the moving least-squares approaches are…”
• Full-Lagrangian schemes for dynamic analysis of electrostatic MEMS (2004, unknown): “Numerical discretization is done using FCM (see [17], [18], and [19] for details on FCM).”
• Positivity conditions in meshless collocation methods (2004, methodology): “[9], Aluru [10] and Aluru and Li [11] have reported satisfactory results for a large class of problems encountered in engineering applications.”
• Equilibrium swelling and kinetics of pH-responsive hydrogels: models, experiments, and simulations (2002, methodology): “solution of the Nernst–Planck and the Poisson equation is accomplished by using the finite cloud method [31].”