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- W2042756760 abstract "Physical description of the capillary transfer of water (or other liquids) in porous building material comes out from the thermomechanical principle of mass balance and from the Fick law, nonlinear only in the multiplicative capillary transfer coefficient. However, such seemingly simple formulation leads to the non-trivial theory of solvability and convergence of sequences of approximate solutions even for direct problems. The analysis of inverse problems relies on various simplified approaches, whose mutual relations, including those to the related direct problems, are not very transparent: some additional least squares, regression, etc. tricks are often hidden in computational algorithms. This paper demonstrates the general formulation, containing most identification approaches used in practice as certain special cases, both those using the 3-dimensional integration and those relying on (semi-)analytical formulae relying on the very special geometrical configurations. An illustrative example shows the possibility of implementation of the sketched algorithms in the MATLAB environment." @default.
- W2042756760 created "2016-06-24" @default.
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- W2042756760 date "2013-01-01" @default.
- W2042756760 modified "2023-10-18" @default.
- W2042756760 title "Identification of the capillary transfer coefficient in porous building materials" @default.
- W2042756760 doi "https://doi.org/10.1063/1.4825673" @default.
- W2042756760 hasPublicationYear "2013" @default.
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