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Note on cubature over a triangle of a function having specified singularities

Conference ·
OSTI ID:6228239
The conical product rules for integration over a triangle ABC are well known. In this note, we discuss conical product rules with weight function w(x)r/sup ..beta../ where r is the distance of (x,y) from C and x is the distance of (x,y) from AB. In particular we show how to construct rules which are exact for integrand functions p/sub lambda/(x,y)h/sub ..mu../(r) where p/sub lambda/ and h/sub ..mu../ are polynomials of degree lambda and ..mu.., respectively.
Research Organization:
Argonne National Lab., IL (USA); Turin Univ. (Italy). Ist. di Calcoli Numerici
DOE Contract Number:
W-31109-ENG-38
OSTI ID:
6228239
Report Number(s):
CONF-8110259-1; ON: DE83008674
Country of Publication:
United States
Language:
English

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