3 papers
math.AP2023
Solving Riemann Problems with a Topological Tool (Extended version)
Cesar S. Eschenazi, Wanderson J. Lambert, Marlon M. López-Flores +3
In previous work, we developed a topological framework for solving Riemann initial-value problems for a system of conservation laws. Its core is a differentiable manifold, called t…
math.AP2022
Decomposition of the Wave Manifold into Lax Admissible Regions and its Application to the Solution of Riemann Problems
Cesar S. Eschenazi, Wanderson J. Lambert, Marlon M. López-Flores +2
We utilize a three-dimensional manifold to solve Riemann Problems that arise from a system of two conservation laws with quadratic flux functions. Points in this manifold represent…
math.NA2021
Convergence of a Lagrangian-Eulerian scheme by a weak asymptotic analysis for one-dimensional hyperbolic problems
Eduardo Abreu, Arthur Espírito Santo, Wanderson Lambert +1
In this paper, we study both convergence and bounded variation properties of a new fully discrete conservative Lagrangian--Eulerian scheme to the entropy solution in the sense of K…