Arthur Miranda do Espírito Santo
Department of Pure and Applied Mathematics
arthurmes@ufrgs.br
(email)
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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
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., 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., 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
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
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.
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
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
Recent Publications
Convergence, BV properties and Kruzhkov solution of a fully-discrete Lagrangian?Eulerian scheme via weak asymptotic analysis for 1D hyperbolic problems
Recursive formulation and parallel implementation of multiscale mixed methods
A weak asymptotic solution analysis for a Lagrangian-Eulerian scheme for scalar hyperbolic conservation laws
Lagrangian-Eulerian approximation methods for balance laws and hyperbolic conservation laws
A conservative Lagrangian-Eulerian finite volume approximation method for balance law problems
A new finite volume approach for transport models and related applications with balancing source terms
more