| Texto completo | |
| Autor(es): |
Avila da Silva, Jr., C. R.
[1]
;
Beck, Andre Teofilo
[2]
;
Franco, Admilson T.
[1]
;
de Suarez, Oscar A.
[3]
Número total de Autores: 4
|
| Afiliação do(s) autor(es): | [1] Fed Technol Univ Parana, Dept Mech Engn, BR-80230901 Curitiba, Parana - Brazil
[2] Univ Sao Paulo, Dept Struct Engn, BR-13566590 Sao Carlos, SP - Brazil
[3] Univ Caxias, Dept Mech Engn, BR-95070560 Caxias Do Sul, RS - Brazil
Número total de Afiliações: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME; v. 135, n. 7 JUL 2013. |
| Citações Web of Science: | 0 |
| Resumo | |
In this paper, the Galerkin method is used to obtain numerical solutions to two-dimensional steady-state reaction-diffusion problems. Uncertainties in reaction and diffusion coefficients are modeled using parameterized stochastic processes. A stochastic version of the Lax-Milgram lemma is used in order to guarantee existence and uniqueness of the theoretical solutions. The space of approximate solutions is constructed by tensor product between finite dimensional deterministic functional spaces and spaces generated by chaos polynomials, derived from the Askey-Wiener scheme. Performance of the developed Galerkin scheme is evaluated by comparing first and second order moments and probability histograms obtained from approximate solutions with the corresponding estimates obtained via Monte Carlo simulation. Results for three example problems show very fast convergence of the approximate Galerkin solutions. Results also show that complete probability densities (histograms) of the responses are correctly approximated by the developed Galerkin basis. (AU) | |
| Processo FAPESP: | 08/10366-4 - Claudio Roberto Ávila da Silva Junior | Universidade Tecnológica Federal do Paraná - campus Curitiba - Brasil |
| Beneficiário: | André Teófilo Beck |
| Modalidade de apoio: | Auxílio à Pesquisa - Pesquisador Visitante - Brasil |