Recursion relations for <i>hp</i> ‐FEM Element Matrices on quadrilaterals
نویسندگان
چکیده
In this paper we consider higher order shape functions for finite elements on quadrilaterals. Using tensor products of suitable Jacobi polynomials, it can be proved that the corresponding mass and stiffness matrices are sparse with respect to polynomial degree p . Due orthogonal relations between polynomials exact values entries matrix determined. symbolic computation, find simple recurrence which allow us compute remaining nonzero in optimal arithmetic complexity. Besides H1 case also conformal basis H(Div) H(Curl) investigated.
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ژورنال
عنوان ژورنال: Proceedings in applied mathematics & mechanics
سال: 2021
ISSN: ['1617-7061']
DOI: https://doi.org/10.1002/pamm.202100200