Balanced truncation model reduction for semidiscretized Stokes equation

DOI10.1016/j.laa.2004.01.015zbMath1102.65075OpenAlexW2088207264MaRDI QIDQ2491699

Tatjana Stykel

Publication date: 29 May 2006

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2004.01.015

zbMATH Keywords

semidiscretizationmodel reductionStokes equationsHankel singular valuesbalanced truncationcontrollability and observability GramiansDescriptor systemprojected generalized Lyapunov equation

Mathematics Subject Classification ID

Related Items (22)

Distributed control of linearized Navier-Stokes equations via discretized input/output maps ⋮ Structure-Preserving Interpolatory Model Reduction for Port-Hamiltonian Differential-Algebraic Systems ⋮ Partial Stabilization of Descriptor Systems Using Spectral Projectors ⋮ Model order reduction for linear and nonlinear systems: a system-theoretic perspective ⋮ Model Order Reduction for Differential-Algebraic Equations: A Survey ⋮ Partial realization of descriptor systems ⋮ Hankel-norm approximation of large-scale descriptor systems ⋮ A two-step approach for model reduction in flexible multibody dynamics ⋮ Projection Based Model Reduction for Optimal Design of the Time-dependent Stokes System ⋮ Simulation process of flexible multibody systems with non-modal model order reduction techniques ⋮ Evaluation of ST preconditioners for saddle point problems ⋮ Genetic algorithm approach with frequency selectivity for model order reduction of MIMO systems ⋮ Symmetric-triangular decomposition and its applications. II: Preconditioners for indefinite systems ⋮ Reduced order modeling based shape optimization of surface acoustic wave driven microfluidic biochips ⋮ A direct method for solving projected generalized continuous-time Sylvester equations ⋮ Balancing based model reduction for structured index-2 unstable descriptor systems with application to flow control ⋮ 2 Balancing-related model reduction methods ⋮ Model reduction for a class of linear descriptor systems ⋮ Domain decomposition and balanced truncation model reduction for shape optimization of the Stokes system ⋮ A balanced truncation-based strategy for optimal control of evolution problems ⋮ Comparison of model reduction techniques for large mechanical systems ⋮ Hermitian spectral pseudoinversion and its applications

Uses Software

• LYAPACK

Cites Work

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