HAL Id: hal-01335153 https://hal.science/hal-01335153v3 Submitted on 9 Oct 2017 HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci- entific research documents, whether they are pub- lished or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés. Mesh requirements for the finite element approximation of problems with sign-changing coeffcients Anne-Sophie Bonnet-Ben Dhia, Camille Carvalho, Patrick Ciarlet To cite this version: Anne-Sophie Bonnet-Ben Dhia, Camille Carvalho, Patrick Ciarlet. Mesh requirements for the finite element approximation of problems with sign-changing coeffcients. Numerische Mathematik, 2018, 138, pp.801-838. 10.1007/s00211-017-0923-5. hal-01335153v3