7 citations · 14 across the 7 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…
An intrinsic finite element framework for scalar- and vector-valued partial differential equations on general manifolds
Tamara A. Tambyah, Alberto F. Martín, David Lee +1
We present an intrinsic finite element framework for the numerical approximation of scalar- and vector-valued partial differential equations on general manifolds described by atlas…
GridapGeosciences.jl: A Julia finite element package for partial differential equations on general manifolds
Tamara A. Tambyah, Alberto F. Martín, David Lee +1
We present GridapGeosciencesjl, a new parallel distributed-memory Julia package for the numerical approximation of partial differential equations on general manifolds. Our abstr…
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…
A discrete trace theory for non-conforming polytopal hybrid discretisation methods
Santiago Badia, Jerome Droniou, Jai Tushar
In this work we develop a discrete trace theory that spans non-conforming hybrid discretization methods and holds on polytopal meshes. A notion of a discrete trace seminorm is defi…