Two-level space-time domain decomposition methods for flow control problems

DOI10.1007/s10915-016-0263-0zbMath1404.65157OpenAlexW2511244214MaRDI QIDQ520203

Xiao-Chuan Cai, Haijian Yang

Publication date: 3 April 2017

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-016-0263-0

zbMATH Keywords

domain decompositionparallel computingboundary and distributed flow controlspace-time methodtime-dependent PDE-constrained optimization

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Newton-type methods (49M15) Control/observation systems governed by partial differential equations (93C20) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Iterative numerical methods for linear systems (65F10) Parallel numerical computation (65Y05) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Preconditioners for iterative methods (65F08) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items

Parallel two-level space-time hybrid Schwarz method for solving linear parabolic equations, Nonlinear parallel-in-time simulations of multiphase flow in porous media, Convergence analysis of space-time domain decomposition method for parabolic equations, A Nonlinear Elimination Preconditioner for Fully Coupled Space-Time Solution Algorithm with Applications to High-Rayleigh Number Thermal Convective Flow Problems, Multilevel Space-Time Additive Schwarz Methods for Parabolic Equations, Analysis of a hybridizable discontinuous Galerkin scheme for the tangential control of the Stokes system, Parallel generalized Lagrange-Newton method for fully coupled solution of PDE-constrained optimization problems with bound-constraints

Uses Software

• PETSc

Cites Work

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• A parallel space-time domain decomposition method for unsteady source inversion problems
• A fully implicit domain decomposition based ALE framework for three-dimensional fluid-structure interaction with application in blood flow computation
• Parallel multilevel methods for implicit solution of shallow water equations with nonsmooth topography on the cubed-sphere
• The approximation of boundary control problems for fluid flows with an application to control by heating and cooling
• A time-domain decomposition iterative method for the solution of distributed linear quadratic optimal control problems
• Smooth and robust solutions for Dirichlet boundary control of fluid-solid conjugate heat transfer problems
• Numerical solution of a nonlinear parabolic control problem by a reduced SQP method
• Numerical solution of the incompressible Navier-Stokes equations
• Optimal control of two-and three-dimensional incompressible Navier-Stokes flows
• Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
• A general framework for robust control in fluid mechanics
• On balanced approximations for time integration of multiple time scale systems.
• Domain decomposition in time for PDE-constrained optimization
• Inexact and truncated parareal-in-time Krylov subspace methods for parabolic optimal control problems
• Two-level space-time domain decomposition methods for three-dimensional unsteady inverse source problems
• Adaptive Reduced-Order Controllers for a Thermal Flow System Using Proper Orthogonal Decomposition
• Nonlinear Preconditioning Techniques for Full-Space Lagrange--Newton Solution of PDE-Constrained Optimization Problems
• A Scalable Fully Implicit Compressible Euler Solver for Mesoscale Nonhydrostatic Simulation of Atmospheric Flows
• Space-Time Newton-Multigrid Strategies for Nonstationary Distributed and Boundary Flow Control Problems
• A parallel two-level domain decomposition based one-shot method for shape optimization problems
• Numerical approximation of optimal control of unsteady flows using SQP and time decomposition
• Convergence Analysis of Two-Level Space-Time Additive Schwarz Method for Parabolic Equations
• Parallel Multilevel Restricted Schwarz Preconditioners with Pollution Removing for PDE‐Constrained Optimization
• Inexact Newton Methods
• Reduced SQP Methods for Parameter Identification Problems
• Optimal Control of Thermally Convected Fluid Flows
• Globally Convergent Inexact Newton Methods
• Parallel Newton--Krylov--Schwarz Algorithms for the Transonic Full Potential Equation
• The Velocity Tracking Problem for Navier--Stokes Flows With Boundary Control
• Analysis and Approximation of the Velocity Tracking Problem for Navier--Stokes Flows with Distributed Control
• The Velocity Tracking Problem for Navier--Stokes Flows with Bounded Distributed Controls
• Perspectives in Flow Control and Optimization
• Fully implicit Lagrange–Newton–Krylov–Schwarz algorithms for boundary control of unsteady incompressible flows
• Parallel One-Shot Lagrange--Newton--Krylov--Schwarz Algorithms for Shape Optimization of Steady Incompressible Flows
• Parallel fully implicit two‐grid methods for distributed control of unsteady incompressible flows
• Real-Time PDE-Constrained Optimization
• Temporal accuracy analysis of phase change convection simulations using the JFNK‐SIMPLE algorithm
• Parallel Lagrange--Newton--Krylov--Schur Methods for PDE-Constrained Optimization. Part I: The Krylov--Schur Solver
• Parallel Lagrange--Newton--Krylov--Schur Methods for PDE-Constrained Optimization. Part II: The Lagrange--Newton Solver and Its Application to Optimal Control of Steady Viscous Flows
• Parallel Full Space SQP Lagrange--Newton--Krylov--Schwarz Algorithms for PDE-Constrained Optimization Problems
• Solving discretized optimization problems by partially reduced SQP methods