Publication: Composite finite elements for the approximation of PDEs on domains with complicated micro-structures
Composite finite elements for the approximation of PDEs on domains with complicated micro-structures
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Hackbusch, W., & Sauter, S. A. (1997). Composite finite elements for the approximation of PDEs on domains with complicated micro-structures. Numerische Mathematik, 75(4), 447–472. https://doi.org/10.1007/s002110050248
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Usually, the minimal dimension of a finite element space is closely related to the geometry of the physical object of interest. This means that sometimes the resolution of small micro-structures in the domain requires an inadequately fine finite element grid from the viewpoint of the desired accuracy. This fact limits also the application of multi-grid methods to practical situations because the condition that the coarsest grid should resolve the physical object often leads to a huge number of unknowns on the coarsest level. We presen
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- Hackbusch, W
- Sauter, S A
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Hackbusch, W., & Sauter, S. A. (1997). Composite finite elements for the approximation of PDEs on domains with complicated micro-structures. Numerische Mathematik, 75(4), 447–472. https://doi.org/10.1007/s002110050248