Parallel One-Shot Lagrange--Newton--Krylov--Schwarz Algorithms for Shape Optimization of Steady Incompressible Flows

DOI10.1137/110830769zbMath1256.49034OpenAlexW2063292236MaRDI QIDQ4903746

Xiao-Chuan Cai, Rong-liang Chen

Publication date: 24 January 2013

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

Full work available at URL: https://semanticscholar.org/paper/3fce89d8d3ef5a0757274898b2a5cfe3b80cec0c

zbMATH Keywords

finite element methodsparallel computingshape optimizationone-shot methodmoving meshesLagrange--Newton--Krylov--Schwarz algorithmone-level additive Schwarz preconditionersteady incompressible Navier--Stokes equations

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Large-scale problems in mathematical programming (90C06) Nonlinear programming (90C30) 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) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Parallel numerical computation (65Y05) Optimization of shapes other than minimal surfaces (49Q10) Discrete approximations in optimal control (49M25) Animal behavior (92D50) Preconditioners for iterative methods (65F08)

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Uses Software

• PETSc
• CUBIT