Arós, Á.Castiñeira, G.Venturato, L.D.2025-12-152025-12-152025-12-20Castiñeira, G., Arós, Á. & Venturato, L.D. Asymptotic analysis of linearly viscoelastic shells: error estimates in the membrane case. SeMA (2025). https://doi.org/10.1007/s40324-025-00411-whttps://hdl.handle.net/2183/46657This version of the article has been accepted for publication, after peer review and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/10.1007/s40324-025-00411-w[Abstract] We consider a family of linearly viscoelastic elliptic membrane shells, all sharing the same middle surface and with their lateral face clamped. Under these conditions, when the thickness tends to zero, the solution of the three-dimensional problem converges to the solution of a two-dimensional reduced problem for a viscoelastic membrane shell. In this paper we provide error estimates for this convergence. The proof uses a corrector method.engSpringerAsymptotic analysisViscoelasticityShellsError estimatesTime dependentjournal articleembargoed access10.1007/s40324-025-00411-w