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Convexifying the incremental potentials leads to a damage-transport equation at material-point level, and a simple modification based on entropic regularization was recently shown to give rise to a continuum damage model which shows softening yet whose incremental potentials are strongly convex, ensuring well-posedness of the boundary-value problem and efficiency of computational resolution. These salient properties come at a price: The damage-transport equation, an advection-type equation, must be solved at each material point. The latter involves a discretization of the attainable damage states and seeks a large number of transition coefficients. The work at hand introduces a novel reformulation of the damage-transport equation as a one-dimensional root-finding problem. Once this problem is solved, the transition coefficients may be obtained in post-processing. We discuss the monotonicity and uniqueness properties of the one-dimensional function whose root is sought, provide a simple yet robust computational strategy for its resolution and study the efficiency of the approach in dedicated computational experiments.<\/jats:p>","DOI":"10.1007\/s00466-026-02816-4","type":"journal-article","created":{"date-parts":[[2026,7,20]],"date-time":"2026-07-20T08:55:51Z","timestamp":1784537751000},"page":"1663-1672","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A fast solver for entropy-regularized damage transport"],"prefix":"10.1007","volume":"78","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7017-3618","authenticated-orcid":false,"given":"Matti","family":"Schneider","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2026,7,20]]},"reference":[{"key":"2816_CR1","doi-asserted-by":"crossref","unstructured":"Lemaitre J (1996) A course on damage mechanics, 2nd edn. 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