This paper describes a new family of high order finite elements for the approximation of plate bending problems. The elements are conforming and theC1-continuity condition is satisfied by using standard polynomials; the family is hierarchic, that is when the degree of the polynomials is increased new shape functions are added to the previous ones. Explicit expressions of the shape functions are given on general triangles. The hierarchic extension of the approximation spaces, also for a further increase of the degree of the elements, is described in details.
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