Shape Methods for the Transmission Problem with a Single Measurement

DOI10.1080/01630560701381005zbMath1114.49020OpenAlexW2148832158MaRDI QIDQ5297947

Marc Dambrine, Djalil Kateb, Lekbir Afraites

Publication date: 16 July 2007

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560701381005

zbMATH Keywords

conformal mappingsshape optimizationboundary element methodsinverse conductivity problemsecond-order shape derivatives

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Regularity of solutions in optimal control (49N60) Optimization of shapes other than minimal surfaces (49Q10) Boundary element methods for boundary value problems involving PDEs (65N38) Schwarz-Christoffel-type mappings (30C30)

Related Items (31)

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Cites Work

• Variation and optimization of formes. A geometric analysis
• Sensitivity of the heat equation to jumps of conductivity
• Level-set function approach to an inverse interface problem
• Conformal mapping and inverse conductivity problem with one measurement
• Approximation of the inverse electrical impedance tomography problem by an inverse transmission problem
• The Inverse Conductivity Problem with One Measurement: Stability and Estimation of Size
• The determination of a discontinuity in a conductivity from a single boundary measurement
• Electrostatic imaging via conformal mapping
• Volume bounds of inclusions from physical EIT measurements
• Conformal mappings and inverse boundary value problems
• Unnamed Item

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