Abstract
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.
Original language | English (US) |
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Pages (from-to) | 330-365 |
Number of pages | 36 |
Journal | Journal of Scientific Computing |
Volume | 73 |
Issue number | 1 |
DOIs | |
State | Published - Oct 1 2017 |
Externally published | Yes |
Bibliographical note
Funding Information:J. Guzmán: supported by NSF- DMS 1318108. M. Sarkis: supported in part by NSF-MRI 1337943 and NSF-MPS 1522663.
Publisher Copyright:
© 2017, Springer Science+Business Media New York.
Keywords
- Finite elements
- High-contrast
- Interface problems