Efficient preconditioners for saddle point systems with trace constraints coupling 2D and 1D domains

Abstract

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.

References in corpus (1)

• Interpolation of Hilbert and Sobolev Spaces: Quantitative Estimates and Counterexamples

Cited by in corpus (5)

• Parameter-robust methods for the Biot-Stokes interfacial coupling without Lagrange multipliers
• Preconditioning trace coupled 3$d$-1$d$ systems using fractional Laplacian
• A Parameter-Robust Iterative Method for Stokes-Darcy Problems Retaining Local Mass Conservation
• An approximate block factorization preconditioner for mixed-dimensional beam-solid interaction
• Scalable augmented Lagrangian preconditioners for fictitious domain problems