Convergence of sum-up rounding schemes for cloaking problems governed by the Helmholtz equation
From MaRDI portal
Publication:2028463
DOI10.1007/s10589-020-00262-3zbMath1470.90052OpenAlexW3126226372MaRDI QIDQ2028463
Paul Manns, Malte Winckler, Sven Leyffer
Publication date: 1 June 2021
Published in: Computational Optimization and Applications (Search for Journal in Brave)
Full work available at URL: https://www.osti.gov/biblio/1782731
Related Items (4)
Improved penalty algorithm for mixed integer PDE constrained optimization problems ⋮ Compactness and convergence rates in the combinatorial integral approximation decomposition ⋮ Relaxed Multibang Regularization for the Combinatorial Integral Approximation ⋮ An improved penalty algorithm using model order reduction for MIPDECO problems with partial observations
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Relaxation methods for mixed-integer optimal control of partial differential equations
- The integer approximation error in mixed-integer optimal control
- Multi-bang control of elliptic systems
- Combinatorial integral approximation
- On a topology optimization problem governed by two-dimensional Helmholtz equation
- Regularization of \(L^\infty\)-optimal control problems for distributed parameter systems
- Error analysis for global minima of semilinear optimal control problems
- A variational discretization concept in control constrained optimization: The linear-quadratic case
- Error estimates for the numerical approximation of a semilinear elliptic control problem
- Finite element analysis of an optimal control problem in the coefficients of time-harmonic eddy current equations
- A priori error estimates for elliptic optimal control problems with a bilinear state equation
- Optimal bilinear control of eddy current equations with grad-div regularization
- Compatibilité de traces aux arêtes et coins d'un polyèdre
- Automated Derivation of the Adjoint of High-Level Transient Finite Element Programs
- Filters in topology optimization based on Helmholtz-type differential equations
- A convex analysis approach to multi-material topology optimization
- A Convergent adaptive edge element method for an optimal control problem in magnetostatics
- APPROXIMATION BY PIECEWISE CONSTANT FUNCTIONS IN A BV METRIC
- A Posteriori Error Analysis of Optimal Control Problems with Control Constraints
- MultiDimensional Sum-Up Rounding for Elliptic Control Systems
- Radiation boundary conditions for acoustic and elastic wave calculations
- Superconvergence Properties of Optimal Control Problems
- An Introduction to Partial Differential Equations
- A proof of the trace theorem of Sobolev spaces on Lipschitz domains
- Improved regularity assumptions for partial outer convexification of mixed-integer PDE-constrained optimization problems
- Approximation Properties and Tight Bounds for Constrained Mixed-Integer Optimal Control
- Optimal Bilinear Control of an Abstract Schrödinger Equation
- Inverse medium scattering for the Helmholtz equation at fixed frequency
- Inverse acoustic and electromagnetic scattering theory
This page was built for publication: Convergence of sum-up rounding schemes for cloaking problems governed by the Helmholtz equation
