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Rational rooftop functions for convex quadrilaterals
Author(s) -
Knockaert Luc
Publication year - 2000
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/1098-2760(20001220)27:6<422::aid-mop16>3.0.co;2-k
Subject(s) - quadrilateral , parallelogram , mathematics , regular polygon , divergence (linguistics) , constant (computer programming) , function (biology) , mathematical analysis , rational function , convex function , pure mathematics , geometry , computer science , structural engineering , engineering , linguistics , philosophy , hinge , finite element method , evolutionary biology , biology , programming language
There cannot exist divergence‐conforming polynomial rooftop functions for a general quadrilateral which is not a parallelogram. Indeed, the simplest possible vector function with constant divergence over a convex quadrilateral, which is not a parallelogram, is a rational vector function. © 2000 John Wiley & Sons, Inc. Microwave Opt Technol Lett 27: 422–425, 2000.