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

Understand

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.