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• W4296878175 abstract "Abstract In this article, we consider a two-dimensional inverse heat conduction problem that determines the surface temperature distribution from measured data at the fixed location. This problem is severely ill-posed, i.e., the solution does not depend continuously on the data. A quasi-boundary value regularization method in conjunction with the a posteriori parameter choice strategy is proposed to solve the problem. A Hölder-type error estimate between the approximate solution and its exact solution is also given. The error estimate shows that the regularized solution is dependent continuously on the data." @default.
• W4296878175 created "2022-09-24" @default.
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• W4296878175 date "2022-01-01" @default.
• W4296878175 modified "2023-10-14" @default.
• W4296878175 title "<i>A posteriori</i> regularization method for the two-dimensional inverse heat conduction problem" @default.
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• W4296878175 doi "https://doi.org/10.1515/math-2022-0489" @default.
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