Constructing general reference finite elements
This chapter describes the mathematical framework for constructing a general class of finite elements on reference domains. This framework is used by both the FIAT and SyFi projects, see the Chapters 13 and 15, respectively. Our goal is to provide a framework by which simplicial finite elements with very complicated bases can be constructed automatically. We work from the classic Ciarlet definition of the finite element and its “nodal” basis (an abstract notion far more general and powerful than standard node-oriented Lagrange polynomials).
KeywordsGeneral Reference Legendre Polynomial Jacobi Polynomial Reference Element Nodal Basis
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