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20102026
most citedThe aggregated unfitted finite element method for elliptic problems

152 citations

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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…