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Recently, in the paper "The Schwarz alternating method in solid mechanics" byAlejandro Mota, Irina Tezaur and Coleman Alleman [Comput. Methods Appl. Mech.Engrg. 319 (2017) 1951] the authors extended the well known Schwarz alternatingmethod from linear to finite-deformation solid mechanics. They developed andintroduced four variants of the Schwarz alternating method, presented proof ofgeometric convergence of the method and prepared parallel implementationapplied to some examples. Unfortunately, the work contains serious errors, bothfrom the point of view of finite-deformation solid mechanics as well asmathematical elasticity.

A comment on the article "The Schwarz alternating method in solid  mechanics" by Alejandro Mota, Irina Tezaur and Coleman Alleman [Comput.  Methods Appl. Mech. Engrg. 319 (2017) 1951]