Mathematical Aspects and Numerical Computations of an Inverse Boundary Value Identification Using the Adjoint Method

zbMath1185.35334arXiv0803.1903MaRDI QIDQ3550215

Takemi Shigeta

Publication date: 31 March 2010

Full work available at URL: https://arxiv.org/abs/0803.1903

zbMATH Keywords

Cauchy problemvariational formulationadjoint methodsteepest descent methodconvergence proofoptimal step sizeboundary value identification

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

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Method of fundamental solutions with optimal regularization techniques for the Cauchy problem of the Laplace equation with singular points

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