56 citations · 112 across the 7 of their papers we have counts for
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math.NA2016★ 27 cited
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…
math.NA2016★ 56 cited
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…