Multigoal-oriented optimal control problems with nonlinear PDE constraints
DOI10.1016/j.camwa.2020.01.005zbMath1445.49012arXiv1903.02799OpenAlexW2921911770MaRDI QIDQ2192488
Bernhard Endtmayer, Ira Neitzel, Ulrich Langer, Thomas Wick, Winnifried Wollner
Publication date: 17 August 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.02799
optimal controlfinite elementsdual-weighted residualsmultigoal-oriented a posteriori error estimationregularized \(p\)-Laplacian
Optimality conditions for problems involving partial differential equations (49K20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Discrete approximations in optimal control (49M25) PDE constrained optimization (numerical aspects) (49M41)
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- Variational localizations of the dual weighted residual estimator
- Guaranteed and robust a posteriori error estimates and balancing discretization and linearization errors for monotone nonlinear problems
- A posteriori error estimates for a finite element discretization of interior point methods for an elliptic optimization problem with state constraints
- An adaptive Newton algorithm for optimal control problems with application to optimal electrode design
- A posteriori error estimation for the dual mixed finite element method for the \(p\)-Laplacian in a polygonal domain
- Second order optimality conditions for optimal control of quasilinear parabolic equations
- The deal.II library, version 9.0
- Analysis and optimal control of some quasilinear parabolic equations
- A partition-of-unity dual-weighted residual approach for multi-objective goal functional error estimation applied to elliptic problems
- Worst-case multi-objective error estimation and adaptivity
- A new goal-oriented formulation of the finite element method
- Goal-oriented a posteriori error estimation for conforming and nonconforming approximations with inexact solvers
- Numerical treatment of partial differential equations. Revised translation of the 3rd German edition of `Numerische Behandlung partieller Differentialgleichungen' by Martin Stynes.
- A conjugate direction method for linear systems in Banach spaces
- Interpolation operators in Orlicz--Sobolev spaces
- Approximation of Optimal Control Problems in the Coefficient for the $p$-Laplace Equation. I. Convergence Result
- Finite element approximation of singular power-law systems
- A Posteriori Error Estimation in PDE-constrained Optimization with Pointwise Inequality Constraints
- An optimal control approach to a posteriori error estimation in finite element methods
- A posteriori FE error control for p-Laplacian by gradient recovery in quasi-norm
- deal.II—A general-purpose object-oriented finite element library
- First- and Second-Order Optimality Conditions for a Class of Optimal Control Problems with Quasilinear Elliptic Equations
- Adaptive Finite Elements for Elliptic Optimization Problems with Control Constraints
- An adaptive strategy for elliptic problems including a posteriori controlled boundary approximation
- A Posteriori Finite Element Error Control for the P-Laplace Problem
- A Posteriori Control of Modeling Errors and Discretization Errors
- Adaptive Finite Element Methods for Optimal Control of Partial Differential Equations: Basic Concept
- A Convergent Adaptive Algorithm for Poisson’s Equation
- Adaptive finite element analysis of nonlinear problems: balancing of discretization and iteration errors
- Adaptive Finite Element Methods for PDE-Constrained Optimal Control Problems
- Multitarget Error Estimation and Adaptivity in Aerodynamic Flow Simulations
- Goal-oriented error control of the iterative solution of finite element equations
- Two-Side a Posteriori Error Estimates for the Dual-Weighted Residual Method
- Finite Elemente
- Adaptive Space‐Time Finite Element Methods for Parabolic Optimization Problems
- Algorithm 832
- Numerical Methods for Power-Law Diffusion Problems
- Some a posteriori error estimators for p-Laplacian based on residual estimation or gradient recovery
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