Two-level domain decomposition methods for diffuse optical tomography

DOI10.1088/0266-5611/22/5/002zbMath1108.65110OpenAlexW2133842758MaRDI QIDQ3419287

Birsen Yazıcı, Murat Guven, Kiwoon Kwon

Publication date: 6 February 2007

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

Full work available at URL: https://doi.org/10.1088/0266-5611/22/5/002

zbMATH Keywords

computational complexityconvergenceinverse problemfinite element methodnumerical examplesdiffusion equationimage reconstructionTikhonov-type regularizationdiffuse optical tomographypeconditioningreconstruction of absorption and scattering coefficientstwo-level overlapping multiplicative Schwarz-type domain decomposition

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical computation of matrix norms, conditioning, scaling (65F35) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

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Uniqueness, Born approximation, and numerical methods for diffuse optical tomography ⋮ The second-order Born approximation in diffuse optical tomography ⋮ Bioluminescence tomography for media with spatially varying refractive index ⋮ Born expansion and Fréchet derivatives in nonlinear diffuse optical tomography ⋮ Two-grid algorithms for some linear and nonlinear elliptic systems

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