3 papers
math.AP2025
Gradient Flows for the -Laplacian Arising from Biological Network Models: A Novel Dynamical Relaxation Approach
Jan Haskovec, Peter Markowich, Stefano Zampini
We investigate a scalar partial differential equation model for the formation of biological transportation networks. Starting from a discrete graph-based formulation on equilateral…
cs.CV2025
Synthetic Geology: Structural Geology Meets Deep Learning
Simon Ghyselincks, Valeriia Okhmak, Stefano Zampini +3
Reconstructing the structural geology and mineral composition of the first few kilometers of the Earth's subsurface from sparse or indirect surface observations remains a long-stan…
math.NA2025
Block BDDC/FETI-DP Preconditioners for Three-Field mixed finite element Discretizations of Biot's consolidation model
Hanyu Chu, Luca Franco Pavarino, Stefano Zampini
In this paper, we construct and analyze a block dual-primal preconditioner for Biot's consolidation model approximated by three-field mixed finite elements based on a displacement,…