The heterogeneous multiscale finite element method for elliptic homogenization problems in perforated domains. - Patrick Henning; Mario Ohlberger (Numerische Mathematik, 2009)

The heterogeneous multiscale finite element method for advection-diffusion problems with rapidly oscillating coefficients and large expected drift. - Patrick Henning; Mario Ohlberger (Networks Heterog. Media, 2010)

Convergence of MsFEM approximations for elliptic, non-periodic homogenization problems. - Patrick Henning (Networks Heterog. Media, 2012)

Oversampling for the Multiscale Finite Element Method. - Patrick Henning; Daniel Peterseim (Multiscale Model. Simul., 2013)

An Adaptive Multiscale Finite Element Method. - Patrick Henning; Mario Ohlberger; Ben Schweizer (Multiscale Model. Simul., 2014)

Two-Level Discretization Techniques for Ground State Computations of Bose-Einstein Condensates. - Patrick Henning; Axel Målqvist; Daniel Peterseim (SIAM J. Numer. Anal., 2014)

Localized Orthogonal Decomposition Techniques for Boundary Value Problems. - Patrick Henning; Axel Målqvist (SIAM J. Sci. Comput., 2014)

A reduced basis localized orthogonal decomposition. - Assyr Abdulle; Patrick Henning (J. Comput. Phys., 2015)

On multiscale methods in Petrov-Galerkin formulation. - Daniel Elfverson; Victor Ginting; Patrick Henning (Numerische Mathematik, 2015)

A New Heterogeneous Multiscale Method for Time-Harmonic Maxwell's Equations. - Patrick Henning; Mario Ohlberger; Barbara Verfürth (SIAM J. Numer. Anal., 2016)

Localized orthogonal decomposition method for the wave equation with a continuum of scales. - Assyr Abdulle; Patrick Henning (Math. Comput., 2017)

The Finite Element Method for the Time-Dependent Gross-Pitaevskii Equation with Angular Momentum Rotation. - Patrick Henning; Axel Målqvist (SIAM J. Numer. Anal., 2017)

Numerical Homogenization of H(curl)-Problems. - Dietmar Gallistl; Patrick Henning; Barbara Verfürth (SIAM J. Numer. Anal., 2018)

A note on optimal H1-error estimates for Crank-Nicolson approximations to the nonlinear Schrödinger equation. - Patrick Henning; Johan Wärnegård (CoRR, 2019)

Shadow Lagrangian dynamics for superfluidity. - Patrick Henning; Anders M. N. Niklasson (CoRR, 2019)

Sobolev Gradient Flow for the Gross-Pitaevskii Eigenvalue Problem: Global Convergence and Computational Efficiency. - Patrick Henning; Daniel Peterseim (SIAM J. Numer. Anal., 2020)

Computational Homogenization of Time-Harmonic Maxwell's Equations. - Patrick Henning; Anna Persson (SIAM J. Sci. Comput., 2020)

On optimal convergence rates for discrete minimizers of the Gross-Pitaevskii energy in LOD spaces. - Patrick Henning; Anna Persson (CoRR, 2021)

The J-method for the Gross-Pitaevskii eigenvalue problem. - Robert Altmann; Patrick Henning; Daniel Peterseim (Numerische Mathematik, 2021)

Numerical homogenization beyond scale separation. - Robert Altmann; Patrick Henning; Daniel Peterseim (Acta Numer., 2021)

The dependency of spectral gaps on the convergence of the inverse iteration for a nonlinear eigenvector problem. - Patrick Henning (CoRR, 2022)

Uniform L∞-bounds for energy-conserving higher-order time integrators for the Gross-Pitaevskii equation with rotation. - Christian Döding; Patrick Henning (CoRR, 2022)

An efficient two level approach for simulating Bose-Einstein condensates. - Christian Döding; Patrick Henning; Johan Wärnegård (CoRR, 2022)

Superconvergence of time invariants for the Gross-Pitaevskii equation. - Patrick Henning; Johan Wärnegård (Math. Comput., 2022)

Localization and Delocalization of Ground States of Bose-Einstein Condensates Under Disorder. - Robert Altmann; Patrick Henning; Daniel Peterseim (SIAM J. Appl. Math., 2022)

Error bounds for discrete minimizers of the Ginzburg-Landau energy in the high-κ regime. - Benjamin Dörich; Patrick Henning (CoRR, 2023)

On Optimal Convergence Rates for Discrete Minimizers of the Gross-Pitaevskii Energy in Localized Orthogonal Decomposition Spaces. - Patrick Henning; Anna Persson (Multiscale Model. Simul., 2023)

Convergence of a Riemannian gradient method for the Gross-Pitaevskii energy functional in a rotating frame. - Patrick Henning; Mahima Yadav (CoRR, 2024)

A multiscale approach to the stationary Ginzburg-Landau equations of superconductivity. - Christian Döding; Benjamin Dörich; Patrick Henning (CoRR, 2024)

On discrete ground states of rotating Bose-Einstein condensates. - Patrick Henning; Mahima Yadav (Math. Comput., 2024)

Error Bounds for Discrete Minimizers of the Ginzburg-Landau Energy in the High- ( boldsymbol{ kappa } ) Regime. - Benjamin Dörich; Patrick Henning (SIAM J. Numer. Anal., 2024)

Vortex-Capturing Multiscale Spaces for the Ginzburg-Landau Equation. - Maria Blum; Christian Döding; Patrick Henning (Multiscale Model. Simul., 2025)

The Gross-Pitaevskii Equation and Eigenvector Nonlinearities: Numerical Methods and Algorithms. - Patrick Henning; Elias Jarlebring (SIAM Rev., 2025)

Stable localized orthogonal decomposition in Raviart-Thomas spaces. - Patrick Henning; Hao Li; Timo Sprekeler (CoRR, 2025)

The pollution effect for the Ginzburg-Landau equation. - Théophile Chaumont-Frelet; Patrick Henning (CoRR, 2025)

Riemannian conjugate Sobolev gradients and their application to compute ground states of BECs. - Yueshan Ai; Patrick Henning; Mahima Yadav; Sitong Yuan (J. Comput. Appl. Math., 2026)