A new Kohn-Vogelius type formulation for inverse source problems

DOI10.3934/IPI.2015.9.1051zbMath1332.65157OpenAlexW2526759877MaRDI QIDQ256096

Weimin Han, Rongfang Gong, Xiao-liang Cheng

Publication date: 9 March 2016

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

Full work available at URL: https://doi.org/10.3934/ipi.2015.9.1051

zbMATH Keywords

error estimatesiterative methodsTikhonov regularizationinverse source problemsKohn-Vogelius type functional

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Variational inequalities (49J40) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (5)

An adjoint method in inverse problems of chromatography ⋮ Weighted sparsity regularization for source identification for elliptic PDEs ⋮ Modified Tikhonov regularization for identifying several sources ⋮ A regularization operator for source identification for elliptic PDEs ⋮ A fast conjugate gradient algorithm with active set prediction for ℓ₁ optimization

Cites Work

• Mathematical theory and numerical analysis of bioluminescence tomography
• Theoretical Numerical Analysis
• Projection methods for variational inequalities with application to the traffic assignment problem
• Bioluminescence tomography with optimized optical parameters
• Shape Methods for the Transmission Problem with a Single Measurement
• Inverse problems for partial differential equations
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