Optimal control of a quasilinear parabolic equation and its time discretization

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Blank, Luise, Meisinger, Johannes
Format:	Preprint
Published:	2021
Subjects:	Optimization and Control Numerical Analysis Analysis of PDEs 35K59, 49J20, 49M41, 65M12, 65M60
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Optimal control of anisotropic Allen-Cahn equations
by: Blank, Luise, et al.
Published: (2021)

Some notes concerning preconditioning of linear parabolic optimal control problems
by: Blank, Luise
Published: (2024)

Numerical analysis of the Landau--Lifshitz--Bloch equation with spin-torques
by: Soenjaya, Agus L.
Published: (2025)

The Landau--Lifshitz--Bloch equation with spin diffusion: Global strong solution and finite element approximation
by: Soenjaya, Agus L.
Published: (2026)

A priori error estimates for optimal control problems governed by the transient Stokes equations and subject to state constraints pointwise in time
by: Leykekhman, Dmitriy, et al.
Published: (2024)

Cancer Detection via Electrical Impedance Tomography and Optimal Control of Elliptic PDEs
by: Abdulla, Ugur G., et al.
Published: (2025)

The Landau--Lifshitz--Bloch equation on polytopal domains: Unique existence and finite element approximation
by: Le, Kim-Ngan, et al.
Published: (2024)

Error analysis of scalar auxiliary variable finite element methods for the Landau--Lifshitz--Bloch equation
by: Soenjaya, Agus L.
Published: (2026)

Unique reconstruction for discretized inverse problems: a random sketching approach via subsampling
by: Jin, Ruhui, et al.
Published: (2024)

An unfitted HDG method for a distributed optimal convection-diffusion control problem
by: Henríquez, Esteban, et al.
Published: (2026)

On space-time FEM for time-optimal control problems governed by parabolic equations with mixed and endpoints constraints
by: Khanh, Huynh, et al.
Published: (2025)

A space-time interface-fitted method for moving-subdomain distributed control problems with energy regularization
by: Nguyen, Quang Huy, et al.
Published: (2025)

A Streamline upwind Petrov-Galerkin Reduced Order Method for Advection-Dominated Partial Differential Equations under Optimal Control
by: Zoccolan, Fabio, et al.
Published: (2023)

Level-set shape optimization via polytopic discontinuous Galerkin methods
by: Fernandes, Raphael S., et al.
Published: (2024)

An accelerated rearrangement method for two-phase composite optimization
by: Kao, Chiu-Yen, et al.
Published: (2026)

Medical Image Registration using optimal control of a linear hyperbolic transport equation with a DG discretization
by: Zapf, Bastian, et al.
Published: (2023)

An adaptive dynamical low-rank optimizer for solving kinetic parameter identification inverse problems
by: Baumann, Lena, et al.
Published: (2025)

Finite element error analysis for measure-valued optimal control problems governed by a 1D wave equation with variable coefficients
by: Trautmann, Philip, et al.
Published: (2017)

Stabilized Weighted Reduced Order Methods for Parametrized Advection-Dominated Optimal Control Problems governed by Partial Differential Equations with Random Inputs
by: Zoccolan, Fabio, et al.
Published: (2023)

Optimal control of variable-exponent subdiffusion
by: Li, Yiqun, et al.
Published: (2025)

New Error Estimates for An Elliptic Distributed Optimal Control Problem with Pointwise Control Constraints
by: Brenner, Susanne C., et al.
Published: (2024)

Optimal higher-order convergence rates for parabolic multiscale problems
by: Kalyanaraman, Balaje, et al.
Published: (2025)

A Posteriori Error Analysis of Runge-Kutta Discontinuous Galerkin Schemes with SIAC Post-Processing for Nonlinear Convection-Diffusion Systems
by: Giesselmann, Jan, et al.
Published: (2026)

Aubin--Nitsche-type estimates for space-time FOSLS for parabolic PDEs
by: Führer, Thomas, et al.
Published: (2024)

Reconstructing the kinetic chemotaxis kernel using macroscopic data: well-posedness and ill-posedness
by: Hellmuth, Kathrin, et al.
Published: (2023)

An energy stable and conservative multiplicative dynamical low-rank discretization for the Su-Olson problem
by: Baumann, Lena, et al.
Published: (2025)

Parabolic PDE-constrained optimal control under uncertainty with entropic risk measure using quasi-Monte Carlo integration
by: Guth, Philipp A., et al.
Published: (2022)

A monotone finite element method for an elliptic distributed optimal control problem with a convection-dominated state equation
by: Jeong, SeongHee, et al.
Published: (2025)

Galerkin-type time discretizations for parabolic and hyperbolic problems: stability and a priori error analysis
by: Gómez, Sergio
Published: (2026)

Mean field games master equations: from discrete to continuous state space
by: Bertucci, Charles, et al.
Published: (2022)

Gradient enhanced ADMM Algorithm for dynamic optimal transport on surfaces
by: Dong, Guozhi, et al.
Published: (2024)

A New Error Analysis for Finite Element Methods for Elliptic Neumann Boundary Control Problems with Pointwise Control Constraints
by: Brenner, Susanne C., et al.
Published: (2024)

Convergence analysis of a second order numerical scheme for the Flory-Huggins-Cahn-Hilliard-Navier-Stokes system
by: Chen, Wenbin, et al.
Published: (2024)

A time adaptive optimal control approach for 4D-var data assimilation problems governed by parabolic PDEs
by: Gräßle, Carmen, et al.
Published: (2024)

Error estimates for a bilinear optimal control problem of Maxwell's equations
by: Fuica, Francisco, et al.
Published: (2024)

Robust finite element solvers for distributed hyperbolic optimal control problems
by: Langer, Ulrich, et al.
Published: (2024)

Shape optimization of optical microscale inclusions
by: Bezbaruah, Manaswinee, et al.
Published: (2023)

Convex-concave splitting for the Allen-Cahn equation leads to $\varepsilon^2$-slow movement of interfaces
by: Dondl, Patrick, et al.
Published: (2025)

A Generalized $\ell_1$-Merit Function SQP Method Using Function Approximations with Tunable Accuracy
by: Grundvig, Dane S., et al.
Published: (2025)

Error Estimate for a Semi-Lagrangian Scheme for Hamilton-Jacobi Equations on Networks
by: Carlini, Elisabetta, et al.
Published: (2024)