Publication: Composite finite elements for elliptic boundary value problems with discontinuous coefficients
Composite finite elements for elliptic boundary value problems with discontinuous coefficients
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Sauter, S. A., & Warnke, R. (2006). Composite finite elements for elliptic boundary value problems with discontinuous coefficients. Computing, 77(1), 29–55. https://doi.org/10.1007/s00607-005-0150-2
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In this paper, we will introduce composite finite elements for solving elliptic boundary value problems with discontinuous coefficients. The focus is on problems where the geometry of the interfaces between the smooth regions of the coefficients is very complicated. On the other hand, efficient numerical methods such as, e.g., multigrid methods, wavelets, extrapolation, are based on a multi-scale discretization of the problem. In standard finite element methods, the grids have to resolve the structure of the discontinuous coefficients
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- Sauter, S A
- Warnke, R
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Sauter, S. A., & Warnke, R. (2006). Composite finite elements for elliptic boundary value problems with discontinuous coefficients. Computing, 77(1), 29–55. https://doi.org/10.1007/s00607-005-0150-2
