CV Lattes
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Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica (IMECC) (Institutional affiliation for the last research proposal) Birthplace: Brazil
graduation at Matemática from Universidade de Brasília (1973), master's at Mathematics from Instituto Nacional de Matemática Pura e Aplicada (1977) and doctorate at Mathematics from Instituto Nacional de Matemática Pura e Aplicada (1982). Has experience in Mathematics, focusing on Numerical Analysis, acting on the following subjects: wavelets, galerkin method, approximation, adaptabilidade and conservation laws. (Source: Lattes Curriculum)
The project proposes to implement the MHM (Multi scale Hybrid Method) and explore its potential for approximating multi scale phenomenon. The MHM technique was developed by researchers at LNCC and would be benefited by an implementation in a computational environment that incorporates advanced finite element technologies. Different aspects of the MHM method will be studied and a modified …
In the context of Numerical Analysis for partial differential equations, this project considers adaptive finite difference schemes using wavelet tools. The numerical solutions are represented on sparse grids where the points are indicated by significant wavelet coefficients. The method is applied for the simulation of Maxwell's equations in 3D.
| 9 / 3 | Completed research grants |
| 4 / 1 | Completed scholarships in Brazil |
| 2 / 0 | Completed scholarships abroad |
| 15 / 4 | All research grants and scholarships |
| Associated processes | |
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
| Publications | 5 |
| Citations | 7 |
| Cit./Article | 1.4 |
| Data from Web of Science | |
DOMINGUES, MARGARETE O.; FERREIRA, PAULO J. S. G.; GOMES, SONIA M.; GOMIDE, ANAMARIA; PEREIRA, JOSE R.; PINHO, PEDRO. Grid structure impact in sparse point representation of derivatives. Journal of Computational and Applied Mathematics, v. 234, n. 8, p. 2377-2389, AUG 15 2010. Web of Science Citations: 2. (07/52015-0)
DEVLOO, P. R. B.; DURAN, O.; GOMES, S. M.; SHAUER, N.. Mixed finite element approximations based on 3-D hp-adaptive curved meshes with two types of H(div)-conforming spaces. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, v. 113, n. 7, p. 1045-1060, FEB 17 2018. Web of Science Citations: 4. (13/21959-4, 16/13637-5)
FARIAS, AGNALDO M.; DEVLOO, PHILIPPE R. B.; GOMES, SONIA M.; DURAN, OMAR. An object-oriented framework for multiphysics problems combining different approximation spaces. FINITE ELEMENTS IN ANALYSIS AND DESIGN, v. 151, p. 34-49, OCT 15 2018. Web of Science Citations: 1. (16/13637-5)
CARVALHO, PABLO G. S.; DEVLOO, PHILIPPE R. B.; GOMES, SONIA M.. On the use of divergence balanced H(div)-L-2 pair of approximation spaces for divergence-free and robust simulations of Stokes, coupled Stokes-Darcy and Brinkman problems. MATHEMATICS AND COMPUTERS IN SIMULATION, v. 170, p. 51-78, APR 2020. Web of Science Citations: 0. (16/13637-5)
REMY BERNARD DEVLOO, PHILIPPE; DURAN, OMAR; MONTEIRO FARIAS, AGNALDO; MARIA GOMES, SONIA. H(div) finite elements based on nonaffine meshes for 3D mixed formulations of flow problems with arbitrary high order accuracy of the divergence of the flux. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, v. 121, n. 13, MAR 2020. Web of Science Citations: 0. (16/13637-5)
(References retrieved automatically from State of São Paulo Research Institutions)
DOMINGUES, Margarete Oliveira. Analise wavelet na simulação numerica de equações diferenciais parciais com adaptabilidade espacial. Tese (Doutorado) - Instituto de Matematica, Estatistica e Computação Cientifica. Universidade Estadual de Campinas (UNICAMP). (94/02016-9)
BLANCO, Rodrigo Morante. Um método adaptativo de diferenças finitas utilizando wavelets e sua aplicação na resolução numérica de um modelo transiente de micropropulsores a hidrazina. 81 f. Dissertação (Mestrado) - Instituto de Matemática, Estatística e Computação Científica. Universidade Estadual de Campinas (UNICAMP). Campinas. (00/00317-4)