Multiscale Domain Decomposition Methods for Elliptic Problems with High Aspect Ratios
By Jørg E. Aarnes, Thomas Y. Hou. 2002
96 citations recorded by the source corpus.
Subfields: Computational Mechanics, Computational Theory and Mathematics, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/3eec76e0e94301e00b053fbb5750ae66ad0718a3
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Mechanics
- Marco Discacciati
- Alfio Maria Quarteroni
- Juan Galvis
- Yalchin R. Efendiev
- Robert Scheichl
- I. Graham
- Beatrice M. Riviere
- Vivette Girault
In Computational Theory and Mathematics
- Marco Discacciati
- Alfio Maria Quarteroni
- Juan Galvis
- Yalchin R. Efendiev
- Robert Scheichl
- I. Graham
- Beatrice M. Riviere
- Vivette Girault
In Mechanics of Materials
- Marco Discacciati
- Alfio Maria Quarteroni
- Juan Galvis
- Yalchin R. Efendiev
- Robert Scheichl
- I. Graham
- L. Zampieri
Citations in the corpus
- Robust domain decomposition algorithms for multiscale PDEs (2007, methodology): “The use of multiscale finite elements as coarseners was also proposed in [1], but again this was in the Schur-complement context and the analysis depended on classical periodic homogenisation theory.”
- Navier-Stokes/Darcy Coupling: Modeling, Analysis, and Numerical Approximation (2009, methodology): “Multigrid [9, 28, 102] and multilevel domain decomposition methods [60, 93, 4, 1] are examples of such techniques.”
- Domain Decomposition Preconditioners for Multiscale Flows in High Contrast Media: Reduced Dimension Coarse Spaces (2010, methodology): “We use an overlapping two-level additive method for the Schur complement problem ([2, 27]).”