An interpolation operator for H functions on general quadrilateral and hexahedral meshes with hanging nodes
نویسندگان
چکیده
We propose a Scott-Zhang type interpolation operator for the approximation of non-smooth functions in H1 by means of continuous piecewise polynomials of low order. The novelty of the proposed interpolation operator is that it is defined for a general non-affine family of quadrilateral and hexahedral meshes with possibly hanging nodes. The derived interpolator exhibits optimal approximation properties for functions in H1 and preserves homogeneous Dirichlet boundary conditions naturally.
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تاریخ انتشار 2004