On Adaptive-Multilevel BDDC

Abstract

We combine the advantages of the adaptive and multilevel approaches, proposed previously by the authors, to propose a new method that preserves both, parallel scalability with increasing number of subdomains and excellent convergence properties. Performance of the method is illustrated on a two-dimensional problem of linear elasticity.

Minor changes. 12 pages, 2 figures, 7 tables, to appear in DD19 proceedings

References in corpus (4)

• Adaptive BDDC in Three Dimensions
• Multispace and Multilevel BDDC
• BDDC and FETI-DP under Minimalist Assumptions
• On Adaptive-Multilevel BDDC

Cited by in corpus (5)

• BDDC and FETI-DP algorithms with adaptive coarse spaces for three-dimensional elliptic problems with oscillatory and high contrast coefficients
• Adaptive-Multilevel BDDC and its parallel implementation
• Hierarchical Schur complement preconditioner for the stochastic Galerkin finite element methods
• On Adaptive-Multilevel BDDC
• Coarse spaces over the ages