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On the resolution of triangular meshes
  • Danilov S.
Danilov S.
Alfred Wegener Institute for Polar and Marine Research

Corresponding Author:[email protected]

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It is generally agreed that the resolution of a regular quadrilateral mesh is the side length of quadrilateral cells. There is less agreement on what is the resolution of triangular meshes, exacerbated by the fact that the numbers of edges or cells on triangular meshes are approximately three or two times larger than that of vertices. However, the geometrical resolution of triangular meshes, i.e. maximum wavenumbers that can be represented on such meshes, is a well defined quantity, known from solid state physics. These wavenumbers are related to a smallest common mesh cell (primitive unit cell), and the set of mesh translations that map it into itself. The wavenumbers do not depend on whether discrete degrees of freedom are placed on vertices, cells or edges. The resolution is defined by the height of triangles.