ANALYSIS OF RELATIVE PERFORMANCE AMONG NUMERICAL METHODS APPLIED TO THE THIN PLATE THEORY
Vitor Pancieri Pinheiro1; Carlos Friedrich Loeffler1; Natan Sian das Neves2; Daniel Carvalho de Moura Candido3
1 Universidade Federal do Espírito Santo; 2 Faculdade Capixaba da Serra; 3 Faculdade Brasileira
doi:10.20906/CPS/CILAMCE2017-1068
Resumo
In the broad context of mathematical-physics, the thin plate theory presents itself as a model of great relevance due to its applicability in structural engineering, which justifies the volume of current research on the subject. In this context, choosing the most effective numerical method for solving an arbitrary mathematical model is of vital importance to increase result effectiveness in a project. This work focuses on a relative efficiency analysis between the boundary element method, finite element method and also the finite difference method, applied to rectangular plate problems uniformly loaded with different support conditions. It is intended, therefore, to draw a systemic parallel between the methods in order to quantify the performance of each of them in the proposed problem. Finally, the absolute performance evaluation is based on comparisons with known analytical solutions available in the literature.
Palavras-chave: numerical methods ; thin plate theory; efficiency analysis