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A new optimization-based numerical method is proposed for the solution of diffusion problems with sign-changing conductivity coefficients. In contrast to existing approaches, our method does not rely on the discretization of a stabilized equation and the convergence of the scheme can be proved without any symmetry assumption on the mesh near the interface where the conductivity sign changes.
Mark Pauly, Florin Isvoranu, Tian Chen
Jean-François Molinari, Son-Jonathan Pham-Ba
Annalisa Buffa, Pablo Antolin Sanchez, Mathieu Jonathan Fabre