Efficient Solution of Large-Scale Saddle Point Systems Arising in Riccati-Based Boundary Feedback Stabilization of Incompressible Stokes Flow

DOI10.1137/120881312zbMath1290.76059OpenAlexW2035234197WikidataQ115214685 ScholiaQ115214685MaRDI QIDQ2870674

Martin Stoll, Peter Benner, Jens Saak, Heiko K. Weichelt

Publication date: 21 January 2014

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/ac93dadf7499eaa288fddd1d369123bd47efb310

zbMATH Keywords

Schur complementmethod of linesmixed finite element methodLeray projectionflow contol

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Finite element methods applied to problems in fluid mechanics (76M10) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Flow control and optimization for incompressible viscous fluids (76D55)

Related Items

Sparse solution of the Lyapunov equation for large-scale interconnected systems, Optimal Control-Based Feedback Stabilization of Multi-field Flow Problems, Stabilization and Best Actuator Location for the Navier--Stokes Equations, A computational method for model reduction in index-2 dynamical systems for Stokes equations, Observer-based feedback boundary stabilization of the Navier-Stokes equations, A Differential-Algebraic Riccati Equation for Applications in Flow Control, Regularized preconditioned GMRES and the regularized iteration method, Preconditioned global Krylov subspace methods for solving saddle point problems with multiple right-hand sides, Preconditioned Krylov subspace and GMRHSS iteration methods for solving the nonsymmetric saddle point problems, Feedback stabilization of the two-dimensional Navier-Stokes equations by value function approximation, Riccati-based Boundary Feedback Stabilization of Incompressible Navier--Stokes Flows

Uses Software

• HSL
• LAPACK
• LYAPACK