An implicit octree-based adaptive material point method

Robert E. Bird

doi:10.1016/j.cma.2026.119312

An implicit octree-based adaptive material point method

2026-09-12

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DOI：10.1016/j.cma.2026.119312

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• The first octree-based implicit Generalised Interpolation Material Point Method. • Discrete GIMP basis formulation enables a single non-conforming octree mesh. • Background mesh and material points automatically adapt based on contact interface. • Small-cut instability mitigated by extending ghost stabilisation to octree meshes. • Up to 20 times reduction in CPU-hrs compared to conventional meshes.

Keywords:

Material point method

Octree discretisation

Soil-rigid structure interaction

Finite deformation mechanics

An implicit octree-based adaptive material point method

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