5 papers
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 discretizations 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…