Convergence Analysis of a Multiscale Finite Element Method for Singularly Perturbed Problems. - Leopoldo P. Franca; Alexandre L. Madureira; Lutz Tobiska; Frédéric Valentin (Multiscale Model. Simul., 2005)

Asymptotics of the Poisson Problem in Domains with Curved Rough Boundaries. - Alexandre L. Madureira; Frédéric Valentin (SIAM J. Math. Anal., 2006)

A multiscale finite element method for partial differential equations posed in domains with rough boundaries. - Alexandre L. Madureira (Math. Comput., 2009)

A multiscale numerical method for the heterogeneous cable equation. - Alexandre L. Madureira; Daniele Q. M. Madureira; Pedro H. O. Pinheiro (Neurocomputing, 2012)

The reward-attention circuit model: Nicotine's influence on attentional focus and consequences on attention deficit hyperactivity disorder. - Karine Guimarães; Daniele Q. M. Madureira; Alexandre L. Madureira (Neurocomputing, 2017)

Interactions between astrocytes and the reward-attention circuit: A model for attention focusing in the presence of nicotine. - Karine Guimarães; Daniele Q. M. Madureira; Alexandre L. Madureira (Cogn. Syst. Res., 2018)

Analysis of the Finite Element Method for the Laplace-Beltrami Equation on Surfaces with Regions of High Curvature Using Graded Meshes. - Johnny Guzmán; Alexandre L. Madureira; Marcus Sarkis; Shawn W. Walker (J. Sci. Comput., 2018)

A residual-free bubble formulation for nonlinear elliptic problems with oscillatory coefficients. - Manuel Barreda; Alexandre L. Madureira (Int. J. Comput. Math., 2019)

Hybrid Localized Spectral Decomposition for Multiscale Problems. - Alexandre L. Madureira; Marcus Sarkis (SIAM J. Numer. Anal., 2021)

Final-state, Open-loop Control of the Heat equation on Tensorial Domains (full version). - Gilberto O. Corrêa; Marlon M. López-Flores; Alexandre L. Madureira (CoRR, 2022)

Parameter Identification Problem in the Hodgkin-Huxley Model. - Jemy A. Mandujano Valle; Alexandre L. Madureira (Neural Comput., 2022)

On inertial iterated Tikhonov methods for solving ill-posed problems. - Joel C. Rabelo; Antonio Leitão; Alexandre L. Madureira (CoRR, 2024)

A Three-Field Multiscale Method. - Franklin de Barros; Alexandre L. Madureira; Frédéric Valentin (CoRR, 2024)

Spectral ACMS: A Robust Localized Approximated Component Mode Synthesis Method. - Alexandre L. Madureira; Marcus Sarkis (SIAM J. Numer. Anal., 2025)