Journal article
A Finite Difference Scheme for Elliptic Equations with Rough Coefficients Using a Cartesian Grid Nonconforming to Interfaces
SIAM journal on numerical analysis, v 36(2), pp 442-464
1999
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Abstract
We consider the problem of calculating a potential function in a two-dimensional inhomogeneous medium which varies locally in only one direction. We propose a staggered finite difference scheme on a regular Cartesian grid with a special cell averaging. This averaging allows for the change in conductivity to be in any direction with respect to the grid and does not require the grid to be small compared to the layering. We give a convergence result and numerical experiments which suggest that the new averaging works as well as the standard homogenization with thin conductive nonconformal sheets and exhibits better accuracy for resistive sheets.
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Details
- Title
- A Finite Difference Scheme for Elliptic Equations with Rough Coefficients Using a Cartesian Grid Nonconforming to Interfaces
- Creators
- Shari MoskowVladimir DruskinTarek HabashyPing LeeSofia Davydycheva
- Publication Details
- SIAM journal on numerical analysis, v 36(2), pp 442-464
- Publisher
- Society for Industrial and Applied Mathematics
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000079347000007
- Scopus ID
- 2-s2.0-0008157573
- Other Identifier
- 991021863139004721
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- Collaboration types
- Industry collaboration
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Mathematics, Applied