Michael Hinze
Orcid: 0000-0001-9688-0150
According to our database1,
Michael Hinze
authored at least 61 papers
between 1993 and 2023.
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Bibliography
2023
Convergence of a steepest descent algorithm in shape optimisation using $W^{1, \infty}$ functions.
CoRR, 2023
An Incremental Singular Value Decomposition Approach for Large-Scale Spatially Parallel & Distributed but Temporally Serial Data - Applied to Technical Flows.
CoRR, 2023
2022
2021
J. Comput. Phys., 2021
CoRR, 2021
A space-time certified reduced basis method for quasilinear parabolic partial differential equations.
Adv. Comput. Math., 2021
2020
Reduced Basis Methods - An Application to Variational Discretization of Parametrized Elliptic Optimal Control Problems.
SIAM J. Sci. Comput., 2020
Reduced basis methods for quasilinear elliptic PDEs with applications to permanent magnet synchronous motors.
CoRR, 2020
2019
Learning patient-specific parameters for a diffuse interface glioblastoma model from neuroimaging data.
CoRR, 2019
Adv. Comput. Math., 2019
A certified model reduction approach for robust parameter optimization with PDE constraints.
Adv. Comput. Math., 2019
2018
Identifying conductivity in electrical impedance tomography with total variation regularization.
Numerische Mathematik, 2018
POD reduced-order modeling for evolution equations utilizing arbitrary finite element discretizations.
Adv. Comput. Math., 2018
A phase field approach to shape optimization in Navier-Stokes flow with integral state constraints.
Adv. Comput. Math., 2018
Model reduction of complex dynamical systems - Editorial of the special issue corresponding to a workshop held at SDU Odense, Denmark, January 11-13, 2017.
Adv. Comput. Math., 2018
2017
Multilevel Monte Carlo Analysis for Optimal Control of Elliptic PDEs with Random Coefficients.
SIAM/ASA J. Uncertain. Quantification, 2017
2016
Finite Element Method and A Priori Error Estimates for Dirichlet Boundary Control Problems Governed by Parabolic PDEs.
J. Sci. Comput., 2016
2015
Numerical Approximation of Phase Field Based Shape and Topology Optimization for Fluids.
SIAM J. Sci. Comput., 2015
Crank-Nicolson Time Stepping and Variational Discretization of Control-Constrained Parabolic Optimal Control Problems.
SIAM J. Control. Optim., 2015
2014
A Priori Error Analysis for Finite Element Approximation of Parabolic Optimal Control Problems with Pointwise Control.
SIAM J. Control. Optim., 2014
2013
An adaptive finite element Moreau-Yosida-based solver for a coupled Cahn-Hilliard/Navier-Stokes system.
J. Comput. Phys., 2013
Error estimates for parabolic optimal control problems with control and state constraints.
Comput. Optim. Appl., 2013
2012
The semi-smooth Newton method for variationally discretized control constrained elliptic optimal control problems; implementation, convergence and globalization.
Optim. Methods Softw., 2012
J. Num. Math., 2012
Stability of semilinear elliptic optimal control problems with pointwise state constraints.
Comput. Optim. Appl., 2012
Comput. Optim. Appl., 2012
A Globalized Semi-smooth Newton Method for Variational Discretization of Control Constrained Elliptic Optimal Control Problems.
Proceedings of the Constrained Optimization and Optimal Control for Partial Differential Equations, 2012
Proceedings of the Constrained Optimization and Optimal Control for Partial Differential Equations, 2012
Proceedings of the Constrained Optimization and Optimal Control for Partial Differential Equations, 2012
A Posteriori Error Representations for Elliptic Optimal Control Problems with Control and State Constraints.
Proceedings of the Constrained Optimization and Optimal Control for Partial Differential Equations, 2012
2011
An adaptive finite-element Moreau-Yosida-based solver for a non-smooth Cahn-Hilliard problem.
Optim. Methods Softw., 2011
Comput. Vis. Sci., 2011
Discretization of interior point methods for state constrained elliptic optimal control problems: optimal error estimates and parameter adjustment.
Comput. Optim. Appl., 2011
Elliptic control problems with gradient constraints - variational discrete versus piecewise constant controls.
Comput. Optim. Appl., 2011
Proceedings of the System Modeling and Optimization, 2011
A Nonlinear Model Predictive Concept for Control of Two-Phase Flows Governed by the Cahn-Hilliard Navier-Stokes System.
Proceedings of the System Modeling and Optimization, 2011
2010
A memory-reduced implementation of the Newton-CG method in optimal control of nonlinear time-dependent PDEs.
Optim. Methods Softw., 2010
Variational discretization of Lavrentiev-regularized state constrained elliptic optimal control problems.
Comput. Optim. Appl., 2010
2009
Moreau-Yosida Regularization in State Constrained Elliptic Control Problems: Error Estimates and Parameter Adjustment.
SIAM J. Numer. Anal., 2009
Finite Element Approximation of Dirichlet Boundary Control for Elliptic PDEs on Two- and Three-Dimensional Curved Domains.
SIAM J. Control. Optim., 2009
Finite element approximation of elliptic control problems with constraints on the gradient.
Numerische Mathematik, 2009
Mathematical modelling 23, Springer, ISBN: 978-1-4020-8838-4, 2009
2008
J. Num. Math., 2008
Error estimates for abstract linear-quadratic optimal control problems using proper orthogonal decomposition.
Comput. Optim. Appl., 2008
2007
Convergence of a Finite Element Approximation to a State-Constrained Elliptic Control Problem.
SIAM J. Numer. Anal., 2007
J. Comput. Phys., 2007
2006
A SQP-Semismooth Newton-type Algorithm applied to Control of the instationary Navier--Stokes System Subject to Control Constraints.
SIAM J. Optim., 2006
2005
SIAM J. Control. Optim., 2005
A-revolve: an adaptive memory-reduced procedure for calculating adjoints; with an application to computing adjoints of the instationary Navier-Stokes system.
Optim. Methods Softw., 2005
A Variational Discretization Concept in Control Constrained Optimization: The Linear-Quadratic Case.
Comput. Optim. Appl., 2005
2004
Semidiscretization and error estimates for distributed control of the instationary Navier-Stokes equations.
Numerische Mathematik, 2004
2003
Adjoint gradients compared to gradients from algorithmic differentiation in instantaneous control of the Navier-Stokes equations.
Optim. Methods Softw., 2003
Proceedings of the Modeling, 2003
2001
SIAM J. Control. Optim., 2001
1993