Abstract: Angle conditions play important roles in the analysis of the finite element method. They enable us to derive the optimal interpolation order and prove convergence of the finite element method, to derive various a posteriori error estimates, to perform regular mesh refinements, etc. In 1968 Milos Zlamal introduced the minimum angle condition for triangular elements. From that time a lot of other conditions appeared. We give a survey of various generalizations of the minimum and also maximum angle condition in the finite element method.

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