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Automatic generation of octree-based three-dimensional discretizations for partition of unity methods. (English) Zbl 0956.65113
The presented octree-based discretization for partition of unity methods (PUM) allows the efficient determination of patch interactions to provide easy access during runtime of the program. In comparison with well-known implementations, namely the discretization based only on an arbitrary set of points and the use of a finite element mesh, the developed approach is more efficient with respect to processor and memory resources. The authors demonstrate the partition of unity discretization for complex three dimensional geometries on two examples.

MSC:
65N50 Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
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