Shape derivatives for scattering problems (Q4582678)

scientific article; zbMATH DE number 6924601

Language	Label	Description	Also known as
English	Shape derivatives for scattering problems	scientific article; zbMATH DE number 6924601

Statements

instance of

scholarly article

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title

Shape derivatives for scattering problems (English)

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24 August 2018

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zbMATH Keywords

shape derivative

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shape calculus

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differential form

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acoustic scattering

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electromagnetic scattering

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1088/1361-6420/aad34a

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cites work

Finite element exterior calculus: from Hodge theory to numerical stability

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Finite element exterior calculus, homological techniques, and applications

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Singularities of Maxwell interface problems

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Shape derivatives of boundary integral operators in electromagnetic scattering. I: Shape differentiability of pseudo-homogeneous boundary integral operators

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Shape derivatives of boundary integral operators in electromagnetic scattering. II: Application to scattering by a homogeneous dielectric obstacle

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Differential forms. With applications to the physical sciences

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Q3364873

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On the Fréchet Derivative for Obstacle Scattering with an Impedance Boundary Condition

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First order second moment analysis for stochastic interface problems based on low-rank approximation

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Sparse second moment analysis for elliptic problems in stochastic domains

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The determination of a discontinuity in a conductivity from a single boundary measurement

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Frechet derivatives in inverse obstacle scattering

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The domain derivative of time-harmonic electromagnetic waves at interfaces

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Optimization with PDE Constraints

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Discrete Hodge operators

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Finite elements in computational electromagnetism

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Shape derivatives in differential forms. I: An intrinsic perspective

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A Newton-type method for a transmission problem in inverse scattering

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Electromagnetic wave scattering by random surfaces: uncertainty quantification via sparse tensor boundary elements

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The domain derivative and two applications in inverse scattering theory

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A Finite Element/Spectral Method for Approximating the Time-Harmonic Maxwell System in $\mathbb{R}^3 $

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Inverse scattering from an open arc

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On the Far Field in Obstacle Scattering

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Inverse scattering for shape and impedance

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Regularity results for generalized electro-magnetic problems

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Q4953888

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Acoustic and electromagnetic equations. Integral representations for harmonic problems

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Frechet differentiability of boundary integral operators in inverse acoustic scattering

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Q4715374

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Fréchet differentiability of the solution to the acoustic Neumann scattering problem with respect to the domain

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Q4000354

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Q5607484

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Identifiers

zbMATH Open document ID

1421.35352

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DOI

10.1088/1361-6420/aad34a

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4582678