Numerical solution of the $\mathbb R$-linear Beltrami equation

DOI10.1090/S0025-5718-2011-02541-XzbMath1255.65219OpenAlexW1540272315MaRDI QIDQ3117215

Marko Huhtanen, Allan Perämäki

Publication date: 17 February 2012

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-2011-02541-x

zbMATH Keywords

inverse problemnumerical experimentsiterative methodsKrylov subspace methodsBeltrami equationconductivity problemdbar-equationelectrical conductivity distribution

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Iterative numerical methods for linear systems (65F10) Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Linear first-order PDEs (35F05) Electromagnetic theory (general) (78A25) Boundary element methods for boundary value problems involving PDEs (65N38)

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Cites Work

• Numerical computation of complex geometrical optics solutions to the conductivity equation
• Numerical solution method for the \(\overline\partial\)-equation in the plane
• Calderón's inverse conductivity problem in the plane
• A Normal form for a Matrix under the Unitary Congruence Group
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Direct Reconstructions of Conductivities from Boundary Measurements
• Solution Methods for $\mathbb R$-Linear Problems in $\mathbb C^n $
• The Beltrami equation
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