Higher-order moving mesh methods for PDE-constrained shape optimization

We present a new approach to discretizing shape optimization problems that generalizes standard moving mesh methods to higher-order mesh deformations and that is naturally compatible with higher-order finite element discretizations of PDE-constraints. This shape optimization method is based on discr...

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Bibliographic Details
Main Authors: Paganini, A, Wechsung, F, Farrell, P
Format: Journal article
Published: Society for Industrial and Applied Mathematics 2018