5 papers
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…
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…
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…
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…