Efficient preconditioners for saddle point systems with trace constraints coupling 2D and 1D domains
- Resource Type
- Authors
- Kent-Andre Mardal; Joris C. G. Verschaeve; Miroslav Kuchta; Mikael Mortensen; Magne Nordaas
- Source
- Subject
- Coupling
Trace (linear algebra)
Applied Mathematics
65F08
Numerical Analysis (math.NA)
010103 numerical & computational mathematics
01 natural sciences
Computer Science::Numerical Analysis
Mathematics::Numerical Analysis
010101 applied mathematics
Constraint (information theory)
Computational Mathematics
symbols.namesake
Saddle point
Lagrange multiplier
FOS: Mathematics
symbols
Computer Science::Mathematical Software
Applied mathematics
Mathematics - Numerical Analysis
0101 mathematics
Lebesgue covering dimension
Parameter dependent
Mathematics
- Language
- English
We study preconditioners for a model problem describing the coupling of two elliptic subproblems posed over domains with different topological dimension by a parameter dependent constraint. A pair of parameter robust and efficient preconditioners is proposed and analyzed. Robustness and efficiency of the preconditioners is demonstrated by numerical experiments.