Analytic Sensing: Noniterative Retrieval of Point Sources from Boundary Measurements

DOI10.1137/080712829zbMath1203.65233OpenAlexW2075739489MaRDI QIDQ3581086

Djano Kandaswamy, Dimitri Van De Ville, Thierry Blu

Publication date: 16 August 2010

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/080712829

zbMATH Keywords

inverse problemanalytic functionPoisson's equationCauchy boundary value problemannihilation filterlocating point sourcesnonlinear estimation polynomialoverdetermined boundary measurements

Mathematics Subject Classification ID

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)

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A harmonic function method for EEG source reconstruction ⋮ Stability estimates for point sources identification problem using reciprocity gap concept via the Helmholtz equation ⋮ Identifiability properties for inverse problems in EEG data processing medical engineering with observability and optimization issues ⋮ Recovery of dipolar sources and stability estimates

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