Projected stochastic gradients for convex constrained problems in Hilbert spaces C Geiersbach, GC Pflug SIAM Journal on Optimization 29 (3), 2079-2099, 2019 | 49 | 2019 |
A stochastic gradient method with mesh refinement for PDE-constrained optimization under uncertainty C Geiersbach, W Wollner SIAM Journal on Scientific Computing 42 (5), A2750-A2772, 2020 | 37 | 2020 |
Stochastic proximal gradient methods for nonconvex problems in Hilbert spaces C Geiersbach, T Scarinci Computational optimization and applications 78 (3), 705-740, 2021 | 20 | 2021 |
Stochastic approximation for optimization in shape spaces C Geiersbach, E Loayza-Romero, K Welker SIAM Journal on Optimization 31 (1), 348-376, 2021 | 18 | 2021 |
Optimality conditions for convex stochastic optimization problems in Banach spaces with almost sure state constraints C Geiersbach, W Wollner SIAM Journal on Optimization 31 (4), 2455-2480, 2021 | 16 | 2021 |
PDE-Constrained Shape Optimization: Toward Product Shape Spaces and Stochastic Models C Geiersbach, E Loayza-Romero, K Welker Handbook of Mathematical Models and Algorithms in Computer Vision and …, 2023 | 10 | 2023 |
Optimality conditions and Moreau–Yosida regularization for almost sure state constraints C Geiersbach, M Hintermüller ESAIM: Control, Optimisation and Calculus of Variations 28, 80, 2022 | 5 | 2022 |
A stochastic gradient method for a class of nonlinear PDE-constrained optimal control problems under uncertainty C Geiersbach, T Scarinci Journal of Differential Equations 364, 635-666, 2023 | 3 | 2023 |
Optimal approximation of the first-order corrector in multiscale stochastic elliptic PDE C Geiersbach, C Heitzinger, G Tulzer SIAM/ASA Journal on Uncertainty Quantification 4 (1), 1246-1262, 2016 | 3 | 2016 |
Optimization of piecewise smooth shapes under uncertainty using the example of Navier-Stokes flow C Geiersbach, T Suchan, K Welker arXiv preprint arXiv:2308.07742, 2023 | 2 | 2023 |
Stochastic augmented Lagrangian method in shape spaces C Geiersbach, T Suchan, K Welker arXiv preprint arXiv:2303.17404, 2023 | 2 | 2023 |
Risk-averse optimal control of random elliptic variational inequalities A Alphonse, C Geiersbach, M Hintermüller, TM Surowiec arXiv preprint arXiv:2210.03425, 2022 | 2 | 2022 |
Computational Aspects for Interface Identification Problems with Stochastic Modelling C Geiersbach, E Loayza, K Welker arXiv preprint arXiv:1902.01160, 2019 | 2 | 2019 |
Optimality conditions in control problems with random state constraints in probabilistic or almost-sure form C Geiersbach, R Henrion arXiv preprint arXiv:2306.03965, 2023 | 1 | 2023 |
Numerical solution of an optimal control problem with probabilistic and almost sure state constraints C Geiersbach, R Henrion, P Pérez-Aros arXiv preprint arXiv:2311.15115, 2023 | | 2023 |
State constraints in stochastic optimization C Geiersbach, M Hintermüller, W Wollner Book of abstracts PGMO DAYS 2022, 55, 2022 | | 2022 |
Risk-averse optimal control of random elliptic VIs A Alphonse, C Geiersbach, M Hintermüller, T Surowiec Preprint: Weierstraß-Institut für Angewandte Analysis und Stochastik 2962, 2022 | | 2022 |
Optimal approach for the calculation of stochastically homogenized coefficients of elliptic PDEs C Geiersbach, G Tulzer, C Heitzinger Proc. SIAM Conference on Uncertainty Quantification 2016 (SIAM UQ16), 124, 2016 | | 2016 |
Optimal numerical approaches to the stochastic homogenization of elliptic equations and to the stochastic drift-diffusion-Poisson system C Heitzinger, C Geiersbach, L Taghizadeh Proc. SIAM Conference on Mathematical Aspects of Materials Science (MS16), 136, 2016 | | 2016 |
Error estimates and optimal approaches to the stochastic homogenization in elliptic partial differential equations C Geiersbach | | 2015 |