<abstract xmlns="http://www.w3.org/1999/xhtml"><p> This paper presents, in a synthetically way, the fundamentals of the element-free Galerkin (EFG) method - a meshfree method - under development but with many capabilities for solving complex problems in mechanical engineering, like impact problems etc. For interpolation, the EFG method uses moving least-squares (MLS) interpolants in curve and surface fitting. Unlike other interpolants, the MLS interpolants do not pass through the data because the Dirac function properties are not available. This aspect could be a disadvantage of the EFG method but next to it, there are many advantages. Upon these issues a discussion exists in this paper. Finally, some applications of the EFG method are presented referring to static and dynamic analysis of structures. The examples and conclusions can be useful for knowing and using of the EFG method</p></abstract>

This paper presents, in a synthetically way, the fundamentals of the element-free Galerkin (EFG) method - a meshfree method - under development but with many capabilities for solving complex problems in mechanical engineering, like impact problems etc. For interpolation, the EFG method uses moving least-squares (MLS) interpolants in curve and surface fitting. Unlike other interpolants, the MLS interpolants do not pass through the data because the Dirac function properties are not available. This aspect could be a disadvantage of the EFG method but next to it, there are many advantages. Upon these issues a discussion exists in this paper. Finally, some applications of the EFG method are presented referring to static and dynamic analysis of structures. The examples and conclusions can be useful for knowing and using of the EFG method

Upon Element-Free Galerkin Method and its Using in Static and Dynamic Structure Analysis

International conference KNOWLEDGE-BASED ORGANIZATION

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

This paper presents, in a synthetically way, the fundamentals of the element-free Galerkin (EFG) method - a meshfree method - under development but with many...

Upon Element-Free Galerkin Method and its Using in Static and Dynamic Structure Analysis

Published Online: Jul 26, 2018

Page range: 156 - 161

DOI: https://doi.org/10.1515/kbo-2018-0152

Keywords
EFG, moving least-squares interpolants, meshfree, weight function

© 2018 Vasile Nastaiescu, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Upon Element-Free Galerkin Method and its Using in Static and Dynamic Structure Analysis

Published Online: Jul 26, 2018

Page range: 156 - 161

DOI: https://doi.org/10.1515/kbo-2018-0152

KeywordsEFG, moving least-squares interpolants, meshfree, weight function

© 2018 Vasile Nastaiescu, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
EFG, moving least-squares interpolants, meshfree, weight function