Simple modifications for stabilization of the finite point method

By Bijan Boroomand, AA Tabatabaei, Eugenio Oñate. 2005

66 citations recorded by the source corpus.

A stabilized version of the finite point method (FPM) is presented. A source of instability due to the evaluation of the base function using a least square procedure is discussed. A suitable mapping is proposed and employed to eliminate the ill‐conditioning effect due to directional arrangement of the points. A step by step algorithm is given for finding the local rotated axes and the dimensions of the cloud using local average spacing and inertia moments of the points distribution. It is shown that the conventional version of FPM may lead to wrong results when the proposed mapping algorithm is not used.

Subfields: Atomic and Molecular Physics, and Optics, Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/7fc74601cebd6aa0dbe13176a854f49f2ebc199a

How researchers see this paper

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In Atomic and Molecular Physics, and Optics

1. B. Movahedian
2. Soheil Soghrati
3. Bijan Boroomand

In Computational Mechanics

1. B. Movahedian
2. Soheil Soghrati
3. Bijan Boroomand

In Mechanics of Materials

1. Soheil Soghrati
2. Bijan Boroomand
3. B. Movahedian

Citations in the corpus

• Exponential basis functions in solution of static and time harmonic elastic problems in a meshless style (2010, methodology): “This is in contrast with the cases in which the governing equations and the boundary conditions are approximately satisfied during the solution process, for example meshless methods based on collocation [6–8, 23, 28, 29].”