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The document summarizes the basis functions for serendipity finite element methods. It discusses how serendipity finite element methods use fewer degrees of freedom than standard tensor product finite element methods while maintaining the same convergence rate. It provides examples of 1D and 2D geometric decompositions that explicitly correspond monomials to basis functions and domain points for cubic Hermite serendipity finite element spaces. The decompositions allow for an efficient representation of func
- Author
- Veng
- Language
- EN