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Automatic generation of octree-based three-dimensional discretizations for Partition of Unity methods
2000
Computational Mechanics
The Partition of Unity Method (PUM) can be used to numerically solve a set of differential equations on a domain Ω. The method is based on the definition of overlapping patches comprising a cover of the domain Ω. For an efficient implementation it is important that the interaction between the patches themselves, and between the patches and the boundary, is well understood and easily accessible during runtime of the program. We will show that an octree representation of the domain with a
doi:10.1007/s004660050478
fatcat:oyut2fnobnfyrky7tirjkm7plu