3 papers
math.NA2025
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…
eess.SY2024
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…
math.NA2024
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…