On the reconstruction of a Riemannian manifold from boundary data: the theory and plan of a numerical experiment

DOI10.1007/s10958-011-0378-7zbMath1281.53038OpenAlexW2080542976WikidataQ115382429 ScholiaQ115382429MaRDI QIDQ393344

Mikhail I. Belishev

Publication date: 17 January 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-011-0378-7

zbMATH Keywords

Maxwell systemboundary control methodeikonaldynamical datascalar spectral

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Applications of global differential geometry to the sciences (53C80) Global Riemannian geometry, including pinching (53C20) Maxwell equations (35Q61)

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Cites Work

• Controllability in a filled domain for a multidimensional wave equation with the singular boundary control
• Justification of Huygens' rule
• On relations between spectral and dynamical inverse data
• Boundary control in reconstruction of manifolds and metrics (the BC method)
• Recent progress in the boundary control method