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COMPUTING H2-CONFORMING FINITE ELEMENT APPROXIMATIONS WITHOUT HAVING TO IMPLEMENT C1-ELEMENTS
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DOI：10.1137/23M1615486.png)
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Abstract
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We develop a method to compute the H-2-conforming finite element approximation to planar fourth order elliptic problems without having to implement C-1 elements. The algorithm consists of replacing the original H-2-conforming scheme with preprocessing and postprocessing steps that require only an H-1-conforming Poisson type solve and an inner Stokes-like problem that again only requires at most H-1-conformity. We then demonstrate the method applied to the Morgan--Scott elements with three numerical examples.
Keywords:
H (2)-conforming finite elements
C (1) finite elements
Kirchhoff plate
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