Abstract:
The simplest free boundary in a 3-dimensional space is a moving plane. For the numerical analyses of such simple free boundary problems, it is necessary to express moving planes in a grid space. A simple example of 3-dimensional grid spaces is a set of 3-dimensional lattice points whose coordinates are all integers. In this paper, therefore, we study geometric and topological properties of planes in such a 3-dimensional integer lattice space.
Description:
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