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The Computer Journal 1981 24(4):378-382; doi:10.1093/comjnl/24.4.378
© 1981 by British Computer Society
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A seamed quadratic element for contouring

R. Sibson * and G. D. Thomson *

School of Mathematics, University of Bath, Claverton Down, Bath, UK

A seamed rectangular element is introduced, on each of whose sixteen triangular panels the function is quadratic; the element is internally continuously differentiable, is specified by value and gradient data at its vertices, and by the requirement of linearity of normal component of the derivative along its edges, and has no spare degrees of freedom under these requirements. Its use in conjunction with the Marlow–Powell quadratic contouring algorithm facilitates the economical production of high-quality contour maps.

Received November 1980. revised March 1981.

* School of Mathematics, University of Bath, Claverton Down, Bath BA2 7AY, UK


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