A study of pipe interacting corrosion defects using the FEM and neural networks. - Rita de Cássia Carvalho Silva; João Nisan Correia Guerreiro; Abimael Fernando Dourado Loula (Adv. Eng. Softw., 2007)

Mixed Variational Formulation and Numerical Analysis of Thermally Coupled Nonlinear Darcy Flows. - Jiang Zhu 003; Jiansong Zhang 002; Abimael F. D. Loula; Luiz Bevilacqua (SIAM J. Numer. Anal., 2013)

Primal stabilized hybrid and DG finite element methods for the linear elasticity problem. - Cristiane O. Faria; Abimael F. D. Loula; Antônio J. B. dos Santos (Comput. Math. Appl., 2014)

Operator splitting combined with positivity-preserving discontinuous Galerkin method for the chemotaxis model. - Rongpei Zhang; Jiang Zhu 003; Abimael F. D. Loula; Xijun Yu (J. Comput. Appl. Math., 2016)

A conservative spectral collocation method for the nonlinear Schrödinger equation in two dimensions. - Rongpei Zhang; Jiang Zhu 003; Xijun Yu; Mingjun Li; Abimael F. D. Loula (Appl. Math. Comput., 2017)

A combined discontinuous Galerkin finite element method for miscible displacement problem. - Jiansong Zhang 002; Jiang Zhu 003; Rongpei Zhang; Danping Yang; Abimael F. D. Loula (J. Comput. Appl. Math., 2017)

Stabilized Variational Formulation for Solving Cell Response to Applied Electric Field. - Cesar Augusto Conopoima; Bernardo Martins Rocha; Iury Igreja; Rodrigo Weber dos Santos; Abimael Fernando Dourado Loula (ICCS (5), 2019)

A novel second-order ADI Scheme for solving epidemic models with cross-diffusion. - Noemi Zeraick Monteiro; Ricardo Reis Pereira; Bernardo Martins Rocha; Rodrigo Weber dos Santos; Sandro Rodrigues Mazorche; Abimael Fernando Dourado Loula (J. Comput. Sci., 2024)

Stabilized velocity post-processings for Darcy flow in heterogeneous porous media. - Maicon R. Correa; Abimael F. D. Loula (CoRR, 2025)

Unconditionally Stable Mixed Finite Element Methods for Darcy Flow. - Maicon R. Correa; Abimael F. D. Loula (CoRR, 2025)

On Finite Element Methods for Heterogeneous Elliptic Problems. - Abimael F. D. Loula; Maicon R. Correa; João Nisan Correia Guerreiro; Elson Magalhães Toledo (CoRR, 2025)