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A Systematic Construction of Finite Element Commuting Exact Sequences

A Systematic Construction of Finite Element Commuting Exact Sequences

We present a systematic construction of finite element exact sequences with a commuting diagram property for the de Rham complex in one-, two-, and three-space dimensions. We apply the construction in two-space dimensions to rediscover two families of exact sequences for triangles and three for squares, and to uncover one …