We propose in this paper two kinds of continuity preserving discrete shape gradients of boundary type for PDE-constrained shape optimizations.
Dirichlet problems to different kinds of PDE-constrained shape optimization prob-. 147 lems, including eigenvalue optimization, optimal shape design of fluid ...
Abstract. We propose in this paper two kinds of continuity preserving discrete shape gradients of boundary type for PDE- constrained shape optimizations.
Jan 1, 2022 · We propose in this paper two kinds of continuity preserving discrete shape gradients of boundary type for PDE-constrained shape ...
In this paper we provide a simple yet useful boundary correction for the normal derivatives of the state and adjoint equations, motivated by their continuous ...
[PDF] on discrete shape gradients of boundary type for pde-constrained ...
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In this paper we provide a simple yet useful boundary correction for the normal derivatives of the state and adjoint equations, motivated by their continuous ...
Dec 9, 2021 · In this paper we provide a simple yet useful boundary correction for the normal derivatives of the state and adjoint equations, motivated by ...
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Aug 17, 2023 · We prove that the addition of this penalty function renders a discretized model problem in PDE-constrained shape optimization well posed.
Sep 15, 2024 · AONN-2 is a fully mesh-free shape optimization approach, naturally sidestepping issues related to mesh deformation, with no needs for maintaining mesh quality.
Apr 7, 2022 · The multi-shape gradient and multi-shape derivative are defined, which allows for a rigorous justification of a steepest descent method with ...