152 citations · 839 across the 37 of their papers we have counts for
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Differentiable monotonicity-preserving schemes for discontinuous Galerkin methods on arbitrary meshes
Santiago Badia, Jesús Bonilla, Alba Hierro
This work is devoted to the design of interior penalty discontinuous Galerkin (dG) schemes that preserve maximum principles at the discrete level for the steady transport and conve…
Convergence to suitable weak solutions for a finite element approximation of the Navier-Stokes equations with numerical subgrid scale modeling
Santiago Badia, Juan Vicente Gutiérrez-Santacreu
In this work we prove that weak solutions constructed by a variational multiscale method are suitable in the sense of Scheffer. In order to prove this result, we consider a subgrid…
Monotonicity-preserving finite element schemes based on differentiable nonlinear stabilization
Santiago Badia, Jesús Bonilla
In this work, we propose a nonlinear stabilization technique for scalar conservation laws with implicit time stepping. The method relies on an artificial diffusion method, based on…