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arXiv · 1610.02277

Multi-mesh multi-objective optimization with application to a model problem in urban design

Anders Logg·Christian Valdemar Lorenzen·Carl Lundholm
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Abstract

We present an application of multi-mesh finite element methods as part of a methodology for optimizing settlement layouts. By formulating a multi-objective optimization problem, we demonstrate how a given number of buildings may be optimally placed on a given piece of land with respect to both wind conditions and the view experienced from the buildings. The wind flow is modeled by a multi-mesh (cut finite element) method. This allows each building to be embedded in a boundary-fitted mesh which can be moved freely on top of a fixed background mesh. This approach enables a multitude of settlement layouts to be evaluated without the need for costly mesh generation when changing the configuration of buildings. The view is modeled by a measure that takes into account the totality of unobstructed view from the collection of buildings, and is efficiently computed by rasterization.

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Anders Logg, Christian Valdemar Lorenzen, Carl Lundholm. 2023-01-30. Multi-mesh multi-objective optimization with application to a model problem in urban design. https://arxiv.org/abs/1610.02277

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