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Modeling of magneto–electro-elastic problems by a meshless local natural neighbor interpolation method.
- Source :
-
Engineering Analysis with Boundary Elements . Aug2018, Vol. 93, p143-149. 7p. - Publication Year :
- 2018
-
Abstract
- This paper presents a novel numerical procedure based on the meshless local natural neighbor interpolation (MLNNI) method for modeling two-dimensional magneto–electro-elastic solids. As a special case of the generalized meshless local Petrov–Galerkin (MLPG) method, the MLNNI method satisfies the weak form equations locally in polygonal sub-domains which surround each node. The natural neighbor interpolation is used to approximate the unknown fields in numerical simulations and thus only a set of scattered nodes are utilized to represent the problem domain. The usage of three-node triangular FEM shape functions as test functions results in the reduction of the order of integrands in domain integrals. As the constructed shape functions possess a point interpolation property, the essential boundary conditions can be imposed directly without the need of introducing special techniques. Numerical examples for magneto–electro-elastic problems are presented to demonstrate the solutions of the present MLNNI method with other available solutions. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09557997
- Volume :
- 93
- Database :
- Academic Search Index
- Journal :
- Engineering Analysis with Boundary Elements
- Publication Type :
- Periodical
- Accession number :
- 129924332
- Full Text :
- https://doi.org/10.1016/j.enganabound.2018.05.002