A PDE-based inverse solver for diffusion tomography using multiple continuous wave sources

DOI10.1080/17415970701198183zbMath1154.35093OpenAlexW2046642911MaRDI QIDQ3523674

Thomas R. Lucas

Publication date: 5 September 2008

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

Full work available at URL: https://doi.org/10.1080/17415970701198183

zbMATH Keywords

Helmholtz equationelliptic systems methodinverse parameter problem

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Waves and radiation in optics and electromagnetic theory (78A40) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Uses Software

• COMSOL
• symrcm

Cites Work

• Unnamed Item
• Two numerical methods for an inverse problem for the 2-D Helmholtz equation
• Numerical Solution of a Subsurface Imaging Inverse Problem
• Optical tomography in medical imaging
• Numerical Solution of a Parabolic Inverse Problem in Optical Tomography Using Experimental Data
• A fast and accurate imaging algorithm in optical/diffusion tomography
• Optical tomography for small volume absorbing inclusions
• Semiparametric Regression
• Elliptic systems method in diffusion tomography using back-reflected data

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