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20202026
most citedMultiscale Mixed Methods with Improved Accuracy: The Role of Oversampling and Smoothing

3 citations · 5 across the 5 of their papers we have counts for

collaborators

5 papers

math.NA2026

AlgMortar: a fully algebraic multiscale mortar preconditioner

Luan F. Santos, Fabricio S. Sousa, Roberto F. Ausas +2

The solution of large-scale symmetric positive definite linear systems arising from discretizations of second-order elliptic equations is challenging, especially in applications wi…

math.NA2026

Accelerating GMRES with Matrix-Free Multiscale Robin Preconditioners

Dilong Zhou, Rafael T. Guiraldello, Felipe Pereira +1

We propose a matrix-free right-preconditioning strategy for the Generalized Minimal Residual (GMRES) method based on the Multiscale Robin Coupled Method with oversampling (MRCM-OS)…

math.NA2025

Fast Converging Parallel Offline-Online Iterative Multiscale Mixed Methods

Dilong Zhou, Rafael T. Guiraldello, Felipe Pereira

In this work, we build upon the recently introduced Multiscale Robin Coupled Method with Oversampling and Smoothing (MRCM-OS) to develop two highly efficient iterative multiscale m…

math.NA2024★ 3 cited

Multiscale Mixed Methods with Improved Accuracy: The Role of Oversampling and Smoothing

Dilong Zhou, Rafael Guiraldello, Felipe Pereira

Multiscale mixed methods based on non-overlapping domain decompositions can efficiently handle the solution of significant subsurface flow problems in very heterogeneous formations…

math.NA2020★ 2 cited

Recursive formulation and parallel implementation of multiscale mixed methods

E. Abreu, P. Ferraz, A. M. Espírito Santo +3

Multiscale methods for second order elliptic equations based on non-overlapping domain decomposition schemes have great potential to take advantage of multi-core, state-of-the-art…