About the limits of regularization and the Ansatz method

S. Arnrich, G. Kalies, P. Bräuer

Research output: Contribution to journalArticleAcademicpeer-review

4 Citations (Scopus)


The well-known adsorption integral equation (AIE) for calculating pore size and adsorption energy distributions from adsorption isotherms on porous solids is, from the mathematical point of view, a linear Fredholm integral equation of the first kind and therefore an ill-posed problem. What can we realistically expect from the solution of such an ill-posed problem by regularization? Does it make sense to restrict the number of possible solutions by the so-called ansatz method? In this paper, the two methods for solving ill-posed problems are from scratch explained and illuminated by concrete examples. Their relevance and fundamental limitations are discussed.
Original languageEnglish
Pages (from-to)823-831
Issue number5
Publication statusPublished - 2011


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