emanate 发表于 2025-3-21 18:37:02
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Large-Scale PDE-Constrained Optimization: An Introduction known as PDE-constrained optimization. The size and complexity of the discretized PDEs often pose significant challenges for contemporary optimization methods. Recent advances in algorithms, software, and high performance computing systems have resulted in PDE simulations that can often scale to mi似少年 发表于 2025-3-22 19:58:27
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First-Order Approximation and Model Management in Optimization Our approach tries to alleviate the expense of relying exclusively on high-fidelity simulations, e.g., the solution of the governing differential equations on very fine meshes or the use of very detailed physics, while still guaranteeing global convergence of the overall optimization process to a sCLAM 发表于 2025-3-23 06:15:27
Multifidelity Global Optimization Using DIRECTimensionality. The DIRECT algorithm has been modified to incorporate multifidelity information. Two correction strategies have been employed with problems with up to ten dimensions and thousands of local optima. DIRECT has demonstrated the ability to reach the same global optimum using high fidelity