23 citations · 37 across the 15 of their papers we have counts for
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math.AP2021★ 1 cited
An evolving space framework for Oseen equations on a moving domain
Ana Djurdjevac, Carsten Gräser, Philip J. Herbert
This article considers non-stationary incompressible linear fluid equations in a moving domain. We demonstrate the existence and uniqueness of an appropriate weak formulation of th…
math.OC2021★ 23 cited
A novel approach to shape optimisation with Lipschitz domains
Klaus Deckelnick, Philip J. Herbert, Michael Hinze
This article introduces a novel method for the implementation of shape optimisation with Lipschitz domains. We propose to use the shape derivative to determine deformation fields w…