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Pré-Publication, Document De Travail Année : 2024

A hybridized Nitsche method for sign-changing elliptic PDEs

Résumé

We present and analyze a hybridized Nitsche method for acoustic metamaterials. The use of a stabilized primal-dual formulation allows us to cope with the sign-changing nature of the problem and to prove optimal error estimates under a well-posedness assumption. The method can be used on arbitrary shape-regular meshes (fitted to material interfaces) and yields optimal convergence rates for smooth solutions. As an illustration, the method is applied to simulate a realistic acoustic cloaking device.
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hal-04571185 , version 1 (07-05-2024)

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  • HAL Id : hal-04571185 , version 1

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Erik Burman, Janosch Preuss, Alexandre Ern. A hybridized Nitsche method for sign-changing elliptic PDEs. 2024. ⟨hal-04571185⟩
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