Homogenisation of parabolic/hyperbolic media
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🧮 math.NA
math.AP
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homogenisationhyperbolicnumericalparabolicproblemapproximationscauseschange
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We consider an evolutionary problem with rapidly oscillating coefficients. This causes the problem to change frequently between a parabolic and an hyperbolic state. We prove convergence of the homogenisation process in the unit square and present a numerical method to deal with approximations of the resulting equations. A numerical study finalises the contribution.
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