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Balancing domain decomposition by constraints associated with subobjects

Author
Badia, S.; Martín, A. F.; Nguyen, H.
Type of activity
Journal article
Journal
Applied mathematics letters
Date of publication
2019-01
Volume
87
First page
93
Last page
100
DOI
https://doi.org/10.1016/j.aml.2018.07.033 Open in new window
Repository
http://hdl.handle.net/2117/121251 Open in new window
https://www.researchgate.net/publication/326754944_Balancing_domain_decomposition_by_constraints_associated_with_subobjects Open in new window
URL
https://www.sciencedirect.com/science/article/pii/S089396591830257X Open in new window
Abstract
A simple variant of the BDDC preconditioner in which constraints are imposed on a selected set of subobjects (subdomain subedges, subfaces and vertices between pairs of subedges) is presented. We are able to show that the condition number of the preconditioner is bounded by C(1+log(L/h))2, where C is a constant, and h and L are the characteristic sizes of the mesh and the subobjects, respectively. As L can be chosen almost freely, the condition number can theoretically be as small as O(1). We wi...
Citation
Badia, S., Martín, A. F., Nguyen, H. Balancing domain decomposition by constraints associated with subobjects. "Applied mathematics letters", Gener 2019, vol. 87, p. 93-100.
Keywords
BDDC FETI-DP Optimal preconditioner Parallel solver Heterogeneous problems
Group of research
(MC)2 - UPC Computational continuum mechanics
ANiComp - Numerical analysis and scientific computation

Participants