7 citations · 14 across the 5 of their papers we have counts for
7 papers
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…
A natural language framework for non-conforming hybrid polytopal methods in Gridap.jl
Jordi Manyer, Jai Tushar, Santiago Badia
Hybrid finite element methods such as hybridizable discontinuous Galerkin, hybrid high-order and weak Galerkin have emerged as powerful techniques for solving partial differential…
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…
Level-set topology optimisation with unfitted finite elements and automatic shape differentiation
Zachary J. Wegert, Jordi Manyer, Connor Mallon +2
In this paper we develop automatic shape differentiation techniques for unfitted discretisations and link these to recent advances in shape calculus for unfitted methods. We extend…
GridapTopOpt.jl: A scalable Julia toolbox for level set-based topology optimisation
Zachary J. Wegert, Jordi Manyer, Connor Mallon +2
In this paper we present GridapTopOpt, an extendable framework for level set-based topology optimisation that can be readily distributed across a personal computer or high-performa…