Research

Research Interests

• Mathematical Analysis of Finite Elements Methods for Nonlinear Elliptic Problems
• Computational and Mathematical Modelling of Pseudoplastic Human Blood
• Finite Element Methods applied to Partial Fractionary Differential Equations
• Newton’s method on Riemannian Manifolds

Publications

1. Bortoloti, M. A. A., Fernandes, T. A., Ferreira, An efficient damped Newton-type algorithm with globalization strategy on Riemannian manifolds, Journal of Computational and Applied Mathematics, 2022. Matlab Codes
2. Bortoloti, M. A. A., Fernandes, T. A., Ferreira, On the globalization of Riemannian Newton method, 2020. Matlab Codes
3. Bortoloti, M. A. A., Fernandes, T. A., Ferreira, O. P., Yun, Y. J., Damped Newton’s Method on Riemanian Manifolds, Journal of Global Optimization, 2020. Matlab Codes.
4. Bortoloti, M. A. de A.; Karam-Filho, J., A stabilized finite element analysis for a power-law pseudoplastic Stokes problem. Applicable Analysis: An International Journal. v 95(2), p. 467-482, 2015.
   
5. Bortoloti, M.A. de A.; Karam Filho, J., A stabilized finite element method to pseudoplastic flow governed by the Sisko relation. Computational & Applied Mathematics. v 31(1), p. 19-35, 2012. (pdf)