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research article
An optimization-based numerical method for diffusion problems with sign-changing coefficients
A new optimization-based numerical method is proposed for the solution to 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.
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nim-cras_2017.pdf
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