71 citations · 75 across the 5 of their papers we have counts for
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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…
Analysis of the finite element method for the Laplace--Beltrami equation on surfaces with regions of high curvature using graded meshes
Johnny Guzman, Alexandre Madureira, Marcus Sarkis +1
We derive error estimates for the piecewise linear finite element approximation of the Laplace--Beltrami operator on a bounded, orientable, , surface without boundary on gener…
On high-order conservative finite element methods
Eduardo Abreu, Ciro Diaz, Juan Galvis +1
A new high-order conservative finite element method for Darcy flow is presented. The key ingredient in the formulation is a volumetric, residual-based, based on Lagrange multiplier…