Parallel solution of contact shape optimization problems based on Total FETI domain decomposition method

2010 ◽  
Vol 42 (6) ◽  
pp. 955-964 ◽  
Author(s):  
Vít Vondrák ◽  
Tomáš Kozubek ◽  
Alexandros Markopoulos ◽  
Zdeněk Dostál
Keyword(s):  
Shape Optimization ◽  
Domain Decomposition ◽  
Decomposition Method ◽  
Optimization Problems ◽  
Domain Decomposition Method ◽  
Parallel Solution ◽  
Contact Shape

Integrated Analysis and Optimization of the Large Airborne Radome-Enclosed Antenna System

2020 ◽  
Vol 35 (10) ◽  
pp. 1192-1199
Author(s):  
Chang Zhai ◽  
Xunwang Zhao ◽  
Zhongchao Lin ◽  
Yu Zhang
Keyword(s):  
Domain Decomposition ◽  
Decomposition Method ◽  
Optimization Problems ◽  
Domain Decomposition Method ◽  
Random Access ◽  
Antenna System ◽  
Adaptive Mutation ◽  
Integrated Analysis ◽  
Optimization Strategy ◽  
System A

In order to realize integrally analysis and optimization of the large airborne radome-enclosed antenna system, a novel optimization strategy is proposed based on an overlapping domain decomposition method by using higher-order MoM and out-of-core solver (HO-OC-DDM), and combining with adaptive mutation particle swarm optimization (AMPSO). The introduction of parallel out-of-core solver and DDM can effectively break the random access memory (RAM) limit. This strategy can decompose difficult-to-solve global optimization problems into multi-domain optimization problems by using domain decomposition method. Finally, take airborne Yagi antenna system as an example, the numerical results show that the design of large airborne radome-enclosed antenna system based on the proposed strategy is convenient and effective.

scholarly journals A domain decomposition method for the Navier–Stokes equations with stochastic input

2021 ◽  
Vol 40 (5) ◽  
Author(s):  
Junxiang Lu ◽  
Jin Su
Keyword(s):  
Constrained Optimization ◽  
Domain Decomposition ◽  
Gradient Method ◽  
Decomposition Method ◽  
Stokes Equations ◽  
Optimization Problems ◽  
Domain Decomposition Method ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Stochastic Input

AbstractThe paper is committed to studying the domain decomposition method for the incompressible Navier–Stokes equations(NSEs) with stochastic input. The stochastic input is represented spectrally by employing orthogonal polynomial functionals from the Askey scheme as trial basis to represent the random space, and the stochastic NSEs system are transformed into deterministic ones via the polynomial chaos expansion. The corresponding deterministic equations are transformed into the constrained optimization problem by minimizing the cost function on the common interface after the whole domain decomposed into two sub-domains. The constrained optimization problems are transformed into unconstrained problems by the Lagrange multiplier rule. A gradient method-based approach to the solutions of domain decomposition problem is proposed to solve the unconstrained optimality system. Finally, one numerical simulation experiment for square cavity flow problem with the stochastic boundary conditions are performed to demonstrate the feasibility and applicability of the gradient method.

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