Journal papers

Published

• A relaxed, damped Kacanov scheme for the p(x)-Poisson equation, Pascal Heid, Partial Differential Equations and Applications (2023)

• Adaptive FEM with quasi-optimal overall cost for nonsymmetric linear elliptic PDEs, Maximilian Brunner, Pascal Heid, Michael Innerberger, Ani Miraci, Dirk Praetorius, Julian Streitberger,  IMA Journal of Numerical Analysis (2023)

• An adaptive damped Newton method for strongly monotone and Lipschitz continuous operator equations, Pascal Heid,  Archiv der Mathematik (2023)

• Gradient flow finite element discretisations with energy-based adaptivity for excited states of Schrödinger's equation, Pascal Heid, Journal of Computational Mathematics 41 (2023)

• A numerical energy minimisation approach for semilinear diffusion-reaction boundary value problems based on steady state iterations, Mario Amrein, Pascal Heid, and Thomas P. Wihler, SIAM Journal on Numerical Analysis 61 (2023).

• Nonlinear iterative approximation of steady incompressible chemically reacting flows, Pablo Alexei Gazca-Orozco, Pascal Heid, and Endre Süli, Comptes Rendus. Mécanique (2023)

• An adaptive iterative linearised finite element method for implicitly constituted incompressible fluid flow problems and its application to Bingham fluids, Pascal Heid and Endre Süli, Applied Numerical Mathematics 181 (2022)

• A link between the steepest descent method and fixed-point iterations, Pascal Heid, Optimization Letters (2022)

• A modified Kacanov iteration scheme with application to quasilinear diffusion models, Pascal Heid and Thomas P. Wihler, ESAIM: Mathematical Modelling and Numerical Analysis 56 (2022)

• On the convergence rate of the Kačanov scheme for shear-thinning fluids, Pascal Heid and Endre Süli, Calcolo 59, 4 (2022)

• Energy contraction and optimal convergence of adaptive iterative linearized finite element methods, Pascal Heid, Dirk Praetorius, and Thomas P. Wihler, Computational Methods in Applied Mathematics 21 (2021)

• Gradient flow finite element discretizations with energy-based adaptivity for the Gross–Pitaevskii equation, Pascal Heid, Benjamin Stamm, and Thomas P. Wihler, Journal of Computational Physics 436 (2021)

• Adaptive local minimax Galerkin methods for variational problems, Pascal Heid and Thomas P. Wihler, SIAM Journal on Scientific Computing 43 (2021) (Erratum)

• On the convergence of adaptive iterative linearized Galerkin methods, Pascal Heid and Thomas P. Wihler, Calcolo 57 (2020)

• Adaptive iterative linearization Galerkin methods for nonlinear problems, Pascal Heid and Thomas P. Wihler, Mathematics of Computation 89 (2020)

Accepted