Guaranteed a posteriori estimation of uncertain data in exterior Neumann problems for Helmholtz equation from inexact indirect observations of their solutions

DOI10.1080/17415977.2020.1797004zbMath1473.35656OpenAlexW3045947179MaRDI QIDQ5153271

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Publication date: 29 September 2021

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2020.1797004

zbMATH Keywords

Helmholtz equationuncertain dataobservationsguaranteed a posteriori estimatesolution to the Neumann problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (2)

Guaranteed a posteriori estimation of unknown right-hand sides of linear periodic systems of ODEs ⋮ Guaranteed estimation of solutions to first order compatible linear systems of periodic ordinary differential equations with unknown right-hand sides

Cites Work

• A qualitative approach to inverse scattering theory
• Preface to: Integral equations and inverse boundary value problems
• Integral Equation Methods in Scattering Theory
• Boundary Element Methods
• Linear integral equations
• Applications of functional analysis and operator theory
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