We define a new finite element method for a steady state elliptic problem with discontinuous diffusion coefficients where the meshes are not aligned with the interface. We prove optimal error estimates in the L2 norm and H1 weighted semi-norm independent of the contrast between the coefficients. Numerical experiments validating our theoretical findings are provided.
Bibliographical noteFunding Information:
J. Guzm?n: supported by NSF- DMS 1318108. M. Sarkis: supported in part by NSF-MRI 1337943 and NSF-MPS 1522663.
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- Finite elements
- Interface problems