Abstract
The meshless finite volume method (MFVM) was developed for solving elasto-static problems, through a meshless local petrov-galerkin (MLPG) 'mixed' approach. The Heaviside function was used as the test function in the local-weak-form of the equilibrium equation. The strain displacement compatibility was enforced at nodal points by using the collocation method. It was found that the present MFVM method based on the MLPG mixed approach was more suitable for non-linear problems with large deformations.
| Original language | English |
|---|---|
| Pages (from-to) | 491-513 |
| Number of pages | 23 |
| Journal | CMES - Computer Modeling in Engineering and Sciences |
| Volume | 6 |
| Issue number | 6 |
| State | Published - Dec 1 2004 |
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Keywords
- Finite Volume Methods
- Meshless Local Petrov-Galerkin approach (MLPG)
- Methods
- Mixed
- Moving Least Squares (MLS)
- Radial Basis Functions (RBF)
Cite this
Atluri, S. N., Han, Z. D., & Rajendran, A. M. (2004). A new implementation of the meshless finite volume method, through the MLPG "mixed" approach. CMES - Computer Modeling in Engineering and Sciences, 6(6), 491-513.