Publications

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2022
Abreu, E., EspíritoSanto A., Lambert W., & Pérez J. (2022).  Convergence, BV properties and Kruzhkov solution of a fully-discrete Lagrangian?Eulerian scheme via weak asymptotic analysis for 1D hyperbolic problems. Numerical Methods for Partial Differential Equations. 1(1), 1.
Abreu, E., Santo E. A., Ferraz P., Pereira F., Santos L., & Sousa F. (2022).  Recursive formulation and parallel implementation of multiscale mixed methods. Journal of Computational Physics.
2020
Abreu, E., Lambert W., Perez J., & Santo A. (2020).  A weak asymptotic solution analysis for a Lagrangian-Eulerian scheme for scalar hyperbolic conservation laws. Proceedings of the Seventeenth International Conference on Hyperbolic Problems. 223–230., University Park, Pennsylvannia, United States of America
2018
Abreu, E., Pérez J., & Santo A. (2018).  A conservative Lagrangian-Eulerian finite volume approximation method for balance law problems. Proceeding Series of the Brazilian Society of Computational and Applied Mathematics. 6, , Number 1, São José dos Campos, São Paulo - Brazil
Abreu, E., Perez J., & Santo A. (2018).  Lagrangian-Eulerian approximation methods for balance laws and hyperbolic conservation laws. Revista UIS Ingenierías. 17, 191–200., Number 1: Universidad Industrial de Santander
2017
Abreu, E., Lambert W., Perez J., & Santo A. (2017).  A new finite volume approach for transport models and related applications with balancing source terms. Mathematics and Computers in Simulation. 137, 2–28.: Elsevier
Abreu, E., Perez J., & Santo A. (2017).  Solving hyperbolic conservation laws by using Lagrangian-Eulerian approach. Proceeding Series of the Brazilian Society of Computational and Applied Mathematics. 5, , Number 1, Gramado, Rio grande do Sul - Brazil
2015
Abreu, E., Lambert W., Perez J., & Santo A. (2015).  A Lagrangian-Eulerian algorithm for solving hyperbolic conservation laws with applications. Proceedings of the 6th International Conference on Approximation Methods and Numerical Modelling in Environment and Natural Resources (MAMERN VI). 599–617., Pau - France