J. A. Evans

F. de Prenter, C. V. Verhoosel, E. H. van Brummelen et al.

Ill-conditioning of the system matrix is a well-known complication in immersed finite element methods and trimmed isogeometric analysis. Elements with small intersections with the physical domain yield problematic eigenvalues in the system matrix, which generally degrades efficiency and robustness of iterative solvers. In this contribution we investigate the spectral properties of immersed finite element systems treated by Schwarz-type methods, to establish the suitability of these as smoothers in a multigrid method. Based on this investigation we develop a geometric multigrid preconditioner for immersed finite element methods, which provides mesh-independent and cut-element-independent convergence rates. This preconditioning technique is applicable to higher-order discretizations, and enables solving large-scale immersed systems in parallel, at a computational cost that scales linearly with the number of degrees of freedom. The performance of the preconditioner is demonstrated for conventional Lagrange basis functions and for isogeometric discretizations with both uniform B-splines and locally refined approximations based on truncated hierarchical B-splines.

C. Biliotti, M. Riccaboni, J. W. Lockhart et al.

Women and men pursue different but complementary forms of scientific innovation. Analyzing 261,452 solo-authored papers by U.S. scholars, with patterns confirmed by millions of multi-authored articles, we show that women more often bridge distant disciplines through novel reference combinations, while men more often recombine concepts within fields. Women's interdisciplinary innovations prove more disruptive and more prescient, yet science penalizes them for it. For equally innovative work, women's papers land in lower-prestige journals and tend to receive less downstream citation credit, though their disruptive impact is greater. These gaps narrow only at extreme levels of novelty, suggesting women must produce exceptionally surprising work to achieve parity. Men's within-field concept innovations, by contrast, attract recognition from disciplinary gatekeepers who control careers. The asymmetry reveals not a deficit in women's contributions but a reward structure that systematically undervalues the boundary-crossing work most likely to transform fields.