On a topology optimization problem governed by two-dimensional Helmholtz equation

DOI10.1007/s10589-015-9746-4zbMath1333.49063OpenAlexW2004256671WikidataQ109285202 ScholiaQ109285202MaRDI QIDQ887176

Jaroslav Haslinger, Raino A. E. Mäkinen

Publication date: 28 October 2015

Published in: Computational Optimization and Applications (Search for Journal in Brave)

Full work available at URL: http://urn.fi/URN:NBN:fi:jyu-201510133359

zbMATH Keywords

radial basis functionsrelaxationHelmholtz equationlevel set methodshape optimizationtopology optimization

Mathematics Subject Classification ID

Related Items (8)

The Boussinesq System with Nonsmooth Boundary Conditions: Existence, Relaxation, and Topology Optimization ⋮ Topology optimization for steady-state anisothermal flow targeting solids with piecewise constant thermal diffusivity ⋮ State elimination for mixed‐integer optimal control of partial differential equations by semigroup theory ⋮ Improved regularity assumptions for partial outer convexification of mixed-integer PDE-constrained optimization problems ⋮ Convergence of sum-up rounding schemes for cloaking problems governed by the Helmholtz equation ⋮ Relaxed Multibang Regularization for the Combinatorial Integral Approximation ⋮ Optimization of Bathymetry for Long Waves with Small Amplitude ⋮ A Mixed-Integer PDE-Constrained Optimization Formulation for Electromagnetic Cloaking

Uses Software

• Matlab
• Optimization Toolbox

Cites Work

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• A topology optimization method for design of negative permeability metamaterials
• Existence results for boundary value problems of nonlinear fractional differential equations
• Shape and topology optimization of an acoustic horn-lens combination
• Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
• Topology optimization in Bernoulli free boundary problems
• LOCAL CONTROL OF SOUND IN STOCHASTIC DOMAINS BASED ON FINITE ELEMENT MODELS
• Numerical Reconstruction of Electromagnetic Inclusions in Three Dimensions
• Second-Order Absorbing Boundary Conditions for the Wave Equation: A Solution for the Corner Problem
• An Observation Concerning Ritz-Galerkin Methods with Indefinite Bilinear Forms
• Shape optimization for the Helmholtz equation
• Inverse medium scattering for the Helmholtz equation at fixed frequency

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