CILAMCE2017-0666 BOUNDARY ELEMENT AND MESH-REDUCED METHODS

Discussion of the test and trial functions' radius size on the meshless local Petrov-Galerkin method applied to elasticity problems

Suzana Matos França de Oliveira¹; Creto Augusto Vidal¹; Joaquim Bento Cavalcante-Neto¹; Laise Lima de Carvalho Sousa¹; Tereza Denyse Pereira de Araújo¹

¹ Universidade Federal do Ceará

doi:10.20906/CPS/CILAMCE2017-0666

Resumo

The meshless local Petrov-Galerkin (MLPG) method has been widely used as an alternative method to the Finite Element Method (FEM) and to the Element Free Galerkin (EFG) method. In MLPG, a set of scattered nodes is used to perform the simulation. Each of those nodes has a trial and a test function, which can belong to different function spaces. We use the method called MLPG5, in which the test function is a Heaviside step function, whose support is used for the integration of the Local Weak Form; and the trial function is approximated using the Moving Least Square (MLS) method. The essential boundary conditions are imposed using the MLS collocation method. We discuss that the choice of radius sizes greatly influences the simulation results.

Palavras-chave: meshless method; local Petrov-Galerkin (MLPG) method; numerical simulation

Como citar

Suzana Matos França de Oliveira; Creto Augusto Vidal; Joaquim Bento Cavalcante-Neto; Laise Lima de Carvalho Sousa; Tereza Denyse Pereira de Araújo. “Discussion of the test and trial functions' radius size on the meshless local Petrov-Galerkin method applied to elasticity problems”. XXXVIII Ibero-Latin American Congress on Computational Methods in Engineering. CILAMCE2017. 2017. DOI: 10.20906/CPS/CILAMCE2017-0666