Publication
Boundary element based multiresolution shape optimisation in electrostatics
AbstractWe consider the shape optimisation of high-voltage devices subject to electrostatic field equations by combining fast boundary elements with multiresolution subdivision surfaces. The geometry of the domain is described with subdivision surfaces and different resolutions of the same geometry are used for optimisation and analysis. The primal and adjoint problems are discretised with the boundary element method using a sufficiently fine control mesh. For shape optimisation the geometry is updated starting from the coarsest control mesh with increasingly finer control meshes. The multiresolution approach effectively prevents the appearance of non-physical geometry oscillations in the optimised shapes. Moreover, there is no need for mesh regeneration or smoothing during the optimisation due to the absence of a volume mesh. We present several numerical experiments and one industrial application to demonstrate the robustness and versatility of the developed approach.
Download publicationRelated Resources
See what’s new.
2023
What’s Next in Robotics Manipulation
Albert Chen, CTO of Forcen, discusses how his company is training…
1999
Exploring bimanual camera control and object manipulation in 3D graphics interfaces
We explore the use of the non-dominant hand to control a virtual…
2011
Leveraging Cloud Computing and High Performance Computing Advances for Next-generation Architecture, Urban Design and Construction Projects
Architecture and urban design projects are constantly breaking…
2016
Four-Bar Linkage Synthesis Using Non-Convex Optimization
We show how four-bar linkages can be designed using non-convex…
Get in touch
Something pique your interest? Get in touch if you’d like to learn more about Autodesk Research, our projects, people, and potential collaboration opportunities.
Contact us