Papers

by year

  1. Paper preview for Uniformly Bounded Cochain Extensions and Uniform Poincaré Inequalities
    Uniformly Bounded Cochain Extensions and Uniform Poincaré Inequalities
    Nilsson, Erik, and Pitassi, Silvano
    arXiv preprint arXiv:2604.04927 2026
    arXiv
  2. Paper preview for Nodal auxiliary space preconditioners for mixed virtual element methods
    Nodal auxiliary space preconditioners for mixed virtual element methods
    Boon, Wietse M, and Nilsson, Erik
    ESAIM: Mathematical Modelling and Numerical Analysis 2025
    arXiv
  3. Paper preview for Ghost stabilisation for cut finite element exterior calculus
    Ghost stabilisation for cut finite element exterior calculus
    Di Pietro, Daniele, Droniou, Jérôme, and Nilsson, Erik
    arXiv preprint arXiv:2510.14772 2025
    arXiv
  4. Paper preview for Divergence-free cut finite element methods for Stokes flow
    Divergence-free cut finite element methods for Stokes flow
    Frachon, Thomas, Nilsson, Erik, and Zahedi, Sara
    BIT Numerical Mathematics 2024
    arXiv
  5. Paper preview for Stabilized Lagrange Multipliers for Dirichlet Boundary Conditions in Divergence Preserving Unfitted Methods
    Stabilized Lagrange Multipliers for Dirichlet Boundary Conditions in Divergence Preserving Unfitted Methods
    Frachon, Thomas, Nilsson, Erik, and Zahedi, Sara
    arXiv preprint arXiv:2408.10089 2024
    arXiv
  6. Paper preview for A divergence preserving cut finite element method for Darcy flow
    A divergence preserving cut finite element method for Darcy flow
    Frachon, Thomas, Hansbo, Peter, Nilsson, Erik, and Zahedi, Sara
    SIAM Journal on Scientific Computing 46 (3) 2022
    arXiv
  7. Paper preview for The isospectral problem for flat tori from three perspectives
    The isospectral problem for flat tori from three perspectives
    Nilsson, Erik, Rowlett, Julie, and Rydell, Felix
    Bulletin of the American Mathematical Society 60 (1) 2021
    arXiv Website
    [Picture is from the Hévéa project, see https://hevea-project.fr/ENPageToreImages.html or the website link.]