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.


Published in:
C. R. Acad. Sci. Paris, Série I, 355, 4, 472-478
Year:
2017
Publisher:
Paris, Elsevier France-Editions Scientifiques Medicales Elsevier
Laboratories:




 Record created 2016-08-17, last modified 2018-03-17

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