Journal
INTERNATIONAL JOURNAL FOR COMPUTATIONAL METHODS IN ENGINEERING SCIENCE & MECHANICS
Volume 19, Issue 2, Pages 117-128Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/15502287.2018.1430078
Keywords
boundary element method; radial basis function; DIBEM; eigenvalue problem; non-adjoint differential operators; Finite Element Method
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Funding
- Fundacao Estadual de Amparo a Pesquisa do Estado do Espirito
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This paper analyses the performance of the main radial basis functions in the formulation of the Boundary Element Method (DIBEM). This is an alternative for solving problems modeled by non-adjoint differential operators, since it transforms domain integrals in boundary integrals using radial basis functions. The solution of eigenvalue problem was chosen to performance evaluation. Natural frequencies are calculated numerically using several radial functions and their accuracy is evaluated by comparison with the available analytical solutions and with the Finite Element Method as well. The standard radial basis functions have presented similar performance to compact radial functions, being even slightly superior.
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