Proof of a conjectured asymptotic expansion for the approximation of surface integrals

Verlinden, P.; Cools, R.

doi:10.1090/S0025-5718-1994-1257581-3

Proof of a conjectured asymptotic expansion for the approximation of surface integrals
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by P. Verlinden and R. Cools PDF

Math. Comp. 63 (1994), 717-725 Request permission

Abstract:

Georg introduced a new kind of trapezoidal rule and midpoint rule to approximate a surface integral over a curved triangular surface and conjectured the existence of an asymptotic expansion for this approximation as the subdivision of the surface gets finer. The purpose of this paper is to prove the conjecture.

References

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