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T. Chacón Rebollo

Researcher at University of Seville

Publications -  33
Citations -  351

T. Chacón Rebollo is an academic researcher from University of Seville. The author has contributed to research in topics: Numerical analysis & Finite element method. The author has an hindex of 11, co-authored 33 publications receiving 311 citations. Previous affiliations of T. Chacón Rebollo include University of Bordeaux & Pierre-and-Marie-Curie University.

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Finite elements approximation of second order linear elliptic equations in divergence form with right-hand side in L 1

TL;DR: The standard finite elements approximation of the second order linear elliptic equation in divergence form with coefficients in L∞(Ω) which generalizes Laplace’s equation is considered and it is proved that the unique solution of the discrete problem converges in W^{1,q}_0(\Omega).
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A high order term-by-term stabilization solver for incompressible flow problems

TL;DR: A low-cost, high-order stabilized method for the numerical solution of incompressible flow problems where each targeted operator is stabilized by least-squares terms added to the Galerkin formulation, with reduced computational cost for some choices of the interpolation operator.
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A Multilayer Method for the Hydrostatic Navier-Stokes Equations: A Particular Weak Solution

TL;DR: The multilayer model for hydrostatic pressure is approximate by using a polynomial viscosity matrix finite volume scheme and it improves the approximation of the vertical velocity, provides good predictions for viscous effects and simulates re-circulations behind solid obstacles.
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A Model for Two Coupled Turbulent Fluids Part II: Numerical Analysis of a Spectral Discretization

TL;DR: A spectral discretization of the stationary flow of two immiscible turbulent fluids on adjacent subdomains is proposed and the convergence of the method is proven in the two-dimensional case, together with optimal error estimates.
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Well-balanced finite volume schemes for 2D non-homogeneous hyperbolic systems. Application to the dam-break of Aznalcóllar.

TL;DR: In this article, the authors introduce a class of well-balanced finite volume schemes for 2D non-homogeneous hyperbolic systems using the method of lines and prove that these exactly compute the water at rest solutions.