7 citations · 14 across the 5 of their papers we have counts for
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Geometric multigrid preconditioners for unfitted discretisations of the de Rham complex
Santiago Badia, Jordi Manyer
We propose two families of multigrid preconditioners for unfitted finite element discretisations of the Riesz maps of the de Rham complex, in H(grad), H(curl) and H(div), stabilise…
Rotating bases for finite element exterior calculus: closed-form change of basis under vertex permutations
Santiago Badia, Jordi Manyer, Antoine Marteau
The geometrically decomposed bases of the polynomial differential form spaces and on a simplex are products of a barycentric scalar polynomi…
Geometric Multigrid solvers for Hybrid High-Order methods on polytopal meshes
Santiago Badia, Jordi Manyer
We propose the first optimal geometric multigrid solver for hybrid high-order discretisations that can handle arbitrary polytopal agglomeration hierarchies in both two and three di…
Analysis of BDDC preconditioners for non-conforming polytopal hybrid discretisation methods
Santiago Badia, Jerome Droniou, Jordi Manyer +1
In this work, we build on the discrete trace theory developed by Badia, Droniou, and Tushar (Foundations of Computational Mathematics, in press, 2025; \href{https://doi.org/10.1007…