Convergence of sum-up rounding schemes for cloaking problems governed by the Helmholtz equation
type: Item
instance of: scholarly article
title: Convergence of sum-up rounding schemes for cloaking problems governed by the Helmholtz equation
zbMATH Open document ID: 1470.90052
author: Paul Manns
author: Malte Winckler
author: Sven Leyffer
published in: Computational Optimization and Applications
publication date: 2021-06-01T00:00:00Z
full work available at URL: https://www.osti.gov/biblio/1782731
Mathematics Subject Classification ID: 90C10
Mathematics Subject Classification ID: 90C90
zbMATH DE Number: 7353218
zbMATH Keywords: mixed-integer PDE-Constrained Optimization
zbMATH Keywords: approximation methods
zbMATH Keywords: Helmholtz equation
describes a project that uses: FEniCS
describes a project that uses: PETSc
describes a project that uses: TAO
MaRDI profile type: Publication
OpenAlex ID: W3126226372
cites work: Error analysis for global minima of semilinear optimal control problems
cites work: Error estimates for the numerical approximation of a semilinear elliptic control problem
cites work: Inverse medium scattering for the Helmholtz equation at fixed frequency
cites work: APPROXIMATION BY PIECEWISE CONSTANT FUNCTIONS IN A BV METRIC
cites work: Compatibility of traces on the edges and corners of a polyhedron
cites work: Multi-bang control of elliptic systems
cites work: A convex analysis approach to multi-material topology optimization
cites work: Inverse acoustic and electromagnetic scattering theory
cites work: A proof of the trace theorem of Sobolev spaces on Lipschitz domains
cites work: Radiation boundary conditions for acoustic and elastic wave calculations
cites work: Automated derivation of the adjoint of high-level transient finite element programs
cites work: Regularization of \(L^\infty\)-optimal control problems for distributed parameter systems
cites work: Relaxation methods for mixed-integer optimal control of partial differential equations
cites work: On a topology optimization problem governed by two-dimensional Helmholtz equation
cites work: A variational discretization concept in control constrained optimization: The linear-quadratic case
cites work: Optimal Bilinear Control of an Abstract Schrödinger Equation
cites work: Approximation Properties and Tight Bounds for Constrained Mixed-Integer Optimal Control
cites work: A Posteriori Error Analysis of Optimal Control Problems with Control Constraints
cites work: A priori error estimates for elliptic optimal control problems with a bilinear state equation
cites work: Filters in topology optimization based on Helmholtz-type differential equations
cites work: Q5531733
cites work: Improved regularity assumptions for partial outer convexification of mixed-integer PDE-constrained optimization problems
cites work: MultiDimensional Sum-Up Rounding for Elliptic Control Systems
cites work: Superconvergence Properties of Optimal Control Problems
cites work: An Introduction to Partial Differential Equations
cites work: Q3372679
cites work: The integer approximation error in mixed-integer optimal control
cites work: Combinatorial integral approximation
cites work: Q3878033
cites work: Q3558349
cites work: A Convergent adaptive edge element method for an optimal control problem in magnetostatics
cites work: Finite element analysis of an optimal control problem in the coefficients of time-harmonic eddy current equations
cites work: Optimal bilinear control of eddy current equations with grad-div regularization
DOI: 10.1007/S10589-020-00262-3
description: scientific article; zbMATH DE number 7353218