An algebraic dynamic multilevel and multiscale method with non-uniform mesh resolution and adaptive algebraic multiscale solver operator for the simulation of two-phase flows in highly heterogeneous petroleum reservoirs. - José Cícero Araujo dos Santos; Paulo Roberto Maciel Lyra; João Paulo Rodrigues de Andrade; Artur Castiel Reis de Souza; Ricardo Jorge Morais de Lira Filho; Darlan Karlo Elisiário de Carvalho (J. Comput. Phys., 2022)

A Multipoint Flux Approximation with a Diamond Stencil and a Non-Linear Defect Correction Strategy for the Numerical Solution of Steady State Diffusion Problems in Heterogeneous and Anisotropic Media Satisfying the Discrete Maximum Principle. - Túlio de Moura Cavalcante; Ricardo Jorge Morais de Lira Filho; Artur Castiel Reis de Souza; Darlan Karlo Elisiário de Carvalho; Paulo Roberto Maciel Lyra (J. Sci. Comput., 2022)

A nonlinear repair technique for the MPFA-D scheme in single-phase flow problems and heterogeneous and anisotropic media. - Artur Castiel Reis de Souza; Darlan Karlo Elisiário de Carvalho; Túlio de Moura Cavalcante; Fernando R. L. Contreras; Michael G. Edwards; Paulo Roberto Maciel Lyra (J. Comput. Phys., 2024)