2 citations · 3 across the 6 of their papers we have counts for
9 papers
On inertial iterated Tikhonov methods for solving ill-posed problems
Joel C. Rabelo, Antonio Leitão, Alexandre L. Madureira
In this manuscript we propose and analyze an implicit two-point type method (or inertial method) for obtaining stable approximate solutions to linear ill-posed operator equations.…
Final-state, Open-loop Control of Parabolic PDEs with Dirichlet Boundary Conditions
Gilberto O. Corrêa, Marlon M. López-Flores, Alexandre L. Madureira
In this paper, a quadratic optimal control problem is considered for second-order parabolic PDEs with homogeneous Dirichlet boundary conditions, in which the "point" control functi…
Parameter Identification Problem in the Hodgkin and Huxley Model
Jemy A. Mandujano Valle, Alexandre L. Madureira
The Hodgkin and Huxley (H-H) model is a nonlinear system of four equations that describes how action potentials in neurons are initiated and propagated, and represents a major adva…
A Computational Approach for the inverse problem of neuronal conductances determination
Jemy A. Mandujano Valle, Alexandre L. Madureira, Antonio Leitão
The derivation by Alan Hodgkin and Andrew Huxley of their famous neuronal conductance model relied on experimental data gathered using neurons of the giant squid. It becomes clear…
Spectral ACMS: A robust localized Approximated Component Mode Synthesis Method
Alexandre L. Madureira, Marcus Sarkis
We consider finite element methods of multiscale type to approximate solutions for two-dimensional symmetric elliptic partial differential equations with heterogeneous c…
Hybrid Localized Spectral Decomposition for multiscale problems
Alexandre L. Madureira, Marcus Sarkis
We consider a finite element method for elliptic equation with heterogeneous and possibly high-contrast coefficients based on primal hybrid formulation. A space decomposition as in…