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Figure 15 | Journal of Mathematics in Industry

Figure 15

From: Parallel solutions of static Hamilton-Jacobi equations for simulations of geological folds

Figure 15

Illustration of numerical stencil and nodal update procedure of 3D PMM. (a) A stencil shaped as a tetrahedron, with four characteristics marked with A, B, C and D. Only the solution along characteristic D is acceptable. (b) The pyramid-shaped stencil used in 3D PMM, consisting of eight tetrahedrons. Nodal values from the bottom layer is used to update the value of node T i , j , k . (c) A layer of pyramid stencils. All top nodes in the layer can be updated in parallel, since none of the computed values affects the values of other nodes being updated.

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