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A novelW1,∞ approach to shape optimisation with Lipschitz domains

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Combining diffuse and sharp interface methods in shape optimisation

math.OC · 2026-06-04 · unverdicted · novelty 5.0

A hybrid numerical scheme for shape optimization first applies phase field methods to obtain an initial domain and then switches to a sharp interface solver on a mesh constructed from the phase field's post-processed zero level set.

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  • Combining diffuse and sharp interface methods in shape optimisation math.OC · 2026-06-04 · unverdicted · none · ref 15

    A hybrid numerical scheme for shape optimization first applies phase field methods to obtain an initial domain and then switches to a sharp interface solver on a mesh constructed from the phase field's post-processed zero level set.