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• W3007442652 abstract "We consider a one-dimensional one-phase inverse Stefan problem for the heat equation. It consists in recovering a boundary influx condition from the knowledge of the position of the moving front, and the initial state. We derived a logarithmic stability estimate that shows that the inversion is ill-posed. The proof is based on integral equations and unique continuation for holomorphic functions. We also proposed a direct algorithm with a regularization term to solve the nonlinear inverse problem. Several numerical tests using noisy data are provided with relative errors analysis." @default.
• W3007442652 created "2020-03-06" @default.
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• W3007442652 date "2020-02-21" @default.
• W3007442652 modified "2023-09-27" @default.
• W3007442652 title "Identification of a boundary influx condition in a one-phase Stefan problem" @default.
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• W3007442652 hasPublicationYear "2020" @default.
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