Physics-based balancing domain decomposition by constraints for multi-material problems

S Badia, AF Martín, H Nguyen - Journal of Scientific Computing, 2019 - Springer
In this work, we present a new variant of the balancing domain decomposition by constraints
preconditioner that is robust for multi-material problems. We start with a well-balanced …

Balancing domain decomposition by constraints and perturbation

S Badia, H Nguyen - SIAM Journal on Numerical Analysis, 2016 - SIAM
In this paper, we formulate and analyze a perturbed formulation of the balancing domain
decomposition by constraints (BDDC) method. We prove that the perturbed BDDC has the …

[PDF][PDF] Physics-based balancing domain decomposition by constraints for heterogeneous problems

S Badia, H Nguyen - HAL: hal-01337968 [math. NA], 2016 - hal.science
In this work, we present a novel balancing domain decomposition by constraints
preconditioner that is robust for multi-material and heterogeneous problems. We start with a …

[HTML][HTML] Balancing domain decomposition by constraints associated with subobjects

S Badia, AF Martín, H Nguyen - Applied Mathematics Letters, 2019 - Elsevier
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) …