7 citations · 14 across the 7 of their papers we have counts for
10 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…
Topology optimisation of adsorption beds for cost-effective direct air capture
Connor Mallon, Aaron Thornton, Matthew Hill +2
The performance of adsorption systems is sensitive to the geometry of the adsorbent. To achieve feasibility for large-scale implementation of CO2 direct air capture systems in line…
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…
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…
Energy and entropy conserving compatible finite elements with upwinding for the thermal shallow water equations
Tamara A. Tambyah, David Lee, Santiago Badia
In this work, we develop a new compatible finite element formulation of the thermal shallow water equations that conserves energy and mathematical entropies given by buoyancy-relat…
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…
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…