A note on energy contraction and optimal convergence of adaptive iterative linearized finite element methods. - Pascal Heid; Dirk Praetorius; Thomas P. Wihler (CoRR, 2020)

Gradient flow finite element discretisations with energy-based adaptivity for excited states of Schrödingers equation. - Pascal Heid (CoRR, 2020)

Adaptive iterative linearization Galerkin methods for nonlinear problems. - Pascal Heid; Thomas P. Wihler (Math. Comput., 2020)

Energy Contraction and Optimal Convergence of Adaptive Iterative Linearized Finite Element Methods. - Pascal Heid; Dirk Praetorius; Thomas P. Wihler (Comput. Methods Appl. Math., 2021)

On the convergence rate of the Kačanov scheme for shear-thinning fluids. - Pascal Heid; Endre Süli (CoRR, 2021)

A modified Kačanov iteration scheme with application to quasilinear diffusion models. - Pascal Heid; Thomas P. Wihler (CoRR, 2021)

Adaptive iterative linearised finite element methods for implicitly constituted incompressible fluid flow problems and its application to Bingham fluids. - Pascal Heid; Endre Süli (CoRR, 2021)

Gradient flow finite element discretizations with energy-based adaptivity for the Gross-Pitaevskii equation. - Pascal Heid; Benjamin Stamm; Thomas P. Wihler (J. Comput. Phys., 2021)

Adaptive Local Minimax Galerkin Methods for Variational Problems. - Pascal Heid; Thomas P. Wihler (SIAM J. Sci. Comput., 2021)

A numerical energy minimisation approach for semilinear diffusion-reaction boundary value problems based on steady state iterations. - Mario Amrein; Pascal Heid; Thomas P. Wihler (CoRR, 2022)

An adaptive damped Newton method for strongly monotone and Lipschitz continuous operator equations. - Pascal Heid (CoRR, 2022)

Adaptive FEM with quasi-optimal overall cost for nonsymmetric linear elliptic PDEs. - Maximilian Brunner; Pascal Heid; Michael Innerberger; Ani Miraçi; Dirk Praetorius; Julian Streitberger (CoRR, 2022)

A damped Kačanov scheme for the numerical solution of a relaxed p(x)-Poisson equation. - Pascal Heid (CoRR, 2023)

Approximation Theory, Computing, and Deep Learning on the Wasserstein Space. - Massimo Fornasier; Pascal Heid; Giacomo Enrico Sodini (CoRR, 2023)

A link between the steepest descent method and fixed-point iterations. - Pascal Heid (Optim. Lett., 2023)

A Numerical Energy Reduction Approach for Semilinear Diffusion-Reaction Boundary Value Problems Based on Steady-State Iterations. - Mario Amrein; Pascal Heid; Thomas P. Wihler (SIAM J. Numer. Anal., 2023)

Gradient Flow Finite Element Discretisations with Energy-Based hp-Adaptivity for the Gross-Pitaevskii Equation with Angular Momentum Rotation. - Pascal Heid; Paul Houston; Benjamin Stamm; Thomas P. Wihler (CoRR, 2024)