Gradient flow finite element discretizations with energy-based adaptivity for the Gross-Pitaevskii equation P Heid, B Stamm, TP Wihler Journal of Computational Physics 436, 110165, 2021 | 33 | 2021 |
Adaptive iterative linearization Galerkin methods for nonlinear problems P Heid, T Wihler Mathematics of computation 89 (326), 2707-2734, 2020 | 33 | 2020 |
Energy contraction and optimal convergence of adaptive iterative linearized finite element methods P Heid, D Praetorius, TP Wihler Computational Methods in Applied Mathematics 21 (2), 407-422, 2021 | 31 | 2021 |
On the convergence of adaptive iterative linearized Galerkin methods P Heid, TP Wihler Calcolo 57 (3), 24, 2020 | 30 | 2020 |
A modified Kačanov iteration scheme with application to quasilinear diffusion models P Heid, TP Wihler ESAIM: Mathematical Modelling and Numerical Analysis 56 (2), 433-450, 2022 | 8 | 2022 |
Adaptive FEM with quasi-optimal overall cost for nonsymmetric linear elliptic PDEs M Brunner, M Innerberger, A Miraçi, D Praetorius, J Streitberger, P Heid IMA Journal of Numerical Analysis, drad039, 2023 | 7 | 2023 |
An adaptive iterative linearised finite element method for implicitly constituted incompressible fluid flow problems and its application to Bingham fluids P Heid, E Süli Applied Numerical Mathematics 181, 364-387, 2022 | 7 | 2022 |
A Numerical Energy Reduction Approach for Semilinear Diffusion-Reaction Boundary Value Problems Based on Steady-State Iterations M Amrein, P Heid, TP Wihler SIAM Journal on Numerical Analysis 61 (2), 755-783, 2023 | 5* | 2023 |
On the convergence rate of the Kačanov scheme for shear-thinning fluids P Heid, E Süli Calcolo 59 (1), 1-27, 2022 | 4 | 2022 |
Adaptive local minimax Galerkin methods for variational problems P Heid, TP Wihler SIAM Journal on Scientific Computing 43 (2), A1108-A1133, 2021 | 4 | 2021 |
A short note on an adaptive damped Newton method for strongly monotone and Lipschitz continuous operator equations P Heid Archiv der Mathematik 121 (1), 55-65, 2023 | 3 | 2023 |
Adaptive FEM with quasi-optimal overall cost for nonsymmetric linear elliptic PDEs (JUN, 10.1093/imanum/drad039, 2023) M Brunner, M Innerberger, A Miraci, D Praetorius, J Streitberger, P Heid IMA JOURNAL OF NUMERICAL ANALYSIS, 2024 | 2* | 2024 |
Approximation Theory, Computing, and Deep Learning on the Wasserstein Space M Fornasier, P Heid, GE Sodini arXiv preprint arXiv:2310.19548, 2023 | 1 | 2023 |
Nonlinear iterative approximation of steady incompressible chemically reacting flows PA Gazca-Orozco, P Heid, E Süli Comptes Rendus. Mécanique 351 (S1), 1-25, 2023 | 1 | 2023 |
A link between the steepest descent method and fixed-point iterations P Heid Optimization Letters 17 (1), 27-44, 2023 | 1 | 2023 |
A damped Kačanov scheme for the numerical solution of a relaxed p(x)-Poisson equation P Heid Partial Differential Equations and Applications 4 (5), 40, 2023 | | 2023 |
Gradient flow finite element discretisations with energy-based adaptivity for excited states of Schr\" odingers equation P Heid arXiv preprint arXiv:2010.10383, 2020 | | 2020 |