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  4. MATHICSE Technical Report : An optimization-based numerical method for diffusion problems with sign-changing coefficients
 
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MATHICSE Technical Report : An optimization-based numerical method for diffusion problems with sign-changing coefficients

Abdulle, Assyr  
•
Huber, Martin Ernst  
•
Lemaire, Simon  
August 1, 2016

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.

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