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We define a weak compatibility condition for the Newest Vertex Bisectionalgorithm on simplex grids of any dimension and show that using this conditionthe iterative algorithm terminates successfully. Additionally we provide anO(n) algorithm that renumbers any simplex grid to fulfil this condition.Furthermore we conduct experiments to estimate the distance to the standardcompatibility and also the geometric quality of the produced meshes.

A Weak Compatibility Condition for Newest Vertex Bisection in any dimension