Some non-linear systems of PDEs related to inverse problems in conductivity

DOI10.1007/s00526-021-01945-3zbMath1472.35008OpenAlexW3162201923WikidataQ114229012 ScholiaQ114229012MaRDI QIDQ2029892

Pablo Pedregal, Faustino Maestre

Publication date: 4 June 2021

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-021-01945-3

zbMATH Keywords

Newton-Raphson methodEuler-Lagrange equationquasiconvexificationCalderón's problem

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Boundary value problems for systems of nonlinear higher-order PDEs (35G60)

Related Items (5)

On some non-linear systems of PDEs related to inverse problems in 3-d conductivity ⋮ \(\mathcal{A}\)-variational principles ⋮ Inverse quasiconvexification ⋮ On a new type of boundary condition ⋮ Steady systems of PDEs. Two examples from applications

Uses Software

• FreeFem++

Cites Work

• \(G\)-convergence, Dirichlet to Neumann maps and invisibility
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• Global uniqueness for a two-dimensional inverse boundary value problem
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• Electrical impedance tomography and Calderón's problem
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• Electrical Impedance Tomography
• Univalent solutions of an elliptic system of partial differential equations arising in homogenization
• Stable determination of conductivity by boundary measurements
• Electrical impedance tomography
• New development in freefem++
• Inverse problems for partial differential equations
• Calculus of variations
• Univalent \(\sigma\)-harmonic mappings
• Shape optimization by the homogenization method
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