Preprints

A natural language framework for non-conforming hybrid polytopal methods in Gridap.jl

Jordi Manyer, Jai Tushar, Santiago Badia

Preprint (2026)•ArXiv•

Geometric Multigrid solvers for Hybrid High-Order methods on polytopal meshes

Santiago Badia, Jordi Manyer

Preprint (2026)•ArXiv•

Publications

Analysis of BDDC preconditioners for nonconforming polytopal hybrid discretization methods

Santiago Badia, Jerome Droniou, Jordi Manyer, Jai Tushar

SIAM Journal on Numerical Analysis (2026)•DOI: 10.1137/25M1768801•ArXiv•

Overview of overlapping Schwarz methods in PETSc

Pierre Jolivet, Jordi Manyer, Raphaël Zanella

Proceedings of the 29th International Conference on Domain Decomposition Methods (DD29) (2026)•Preprint•

GridapTopOpt.jl: a scalable Julia toolbox for level set-based topology optimisation

Zachary J. Wegert, Jordi Manyer, Connor Mallon, Santiago Badia, Vivien J. Challis

Struct Multidisc Optim 68, 22 (2025)•DOI: 10.1007/s00158-024-03927-3•ArXiv•

Level-set topology optimisation with unfitted finite elements and automatic shape differentiation

Zachary J. Wegert, Jordi Manyer, Connor N. Mallon, Santiago Badia, Vivien J. Challis

Computer Methods in Applied Mechanics and Engineering (2025)•DOI: 10.1016/j.cma.2025.118203•ArXiv•

GridapSolvers.jl: Scalable multiphysics finite element solvers in Julia

Jordi Manyer, Alberto F. Martín, Santiago Badia

Journal of Open Source Software (2024)•DOI: 10.21105/joss.07162•

Slides

Analysis of BDDC preconditioners for non-conforming polytopal hybrid discretisation methods

Santiago Badia, Jerome Droniou, Jordi Manyer, Jai Tushar

Presented at MATRIX 2025 in Creswick, Australia (2025)•Regular presentation•Get slides

Analysis of BDDC preconditioners for non-conforming polytopal hybrid discretisation methods

Santiago Badia, Jerome Droniou, Jordi Manyer, Jai Tushar

Presented at DD29 in Milan, Italy (2025)•Regular presentation•Get slides
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