Publications

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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
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
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
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
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.