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On the effects of nodal distributions for imposition of essential boundary conditions in the MLPG meshfree method

Augarde, C.E.; Deeks, A.J.

Authors

A.J. Deeks



Abstract

Imposition of essential boundary conditions in meshfree methods is made difficult because the shape functions used do not possess the delta property. Various procedures have been proposed including penalty, Lagrange multipliers and collocation. It is shown in this paper that the success of a procedure depends on the arrangement of the nodal points. Certain methods of imposing boundary conditions are shown not to work for unstructured nodal arrangements. Much previous work has been demonstrated using structured grids thus hiding these drawbacks.

Citation

Augarde, C., & Deeks, A. (2005). On the effects of nodal distributions for imposition of essential boundary conditions in the MLPG meshfree method. Communications in numerical methods in engineering, 21(7), 389-395. https://doi.org/10.1002/cnm.755

Journal Article Type Article
Publication Date 2005-07
Deposit Date Sep 24, 2008
Journal Communications in Numerical Methods in Engineering
Print ISSN 1069-8299
Electronic ISSN 1099-0887
Publisher Wiley
Peer Reviewed Peer Reviewed
Volume 21
Issue 7
Pages 389-395
DOI https://doi.org/10.1002/cnm.755
Keywords Meshfree method, Boundary conditions, Penalty method.
Publisher URL http://www3.interscience.wiley.com/cgi-bin/abstract/110430302/ABSTRACT