A survey of numerical cubature over triangles
Conference
·
OSTI ID:10124922
This survey collects together theoretical results in the area of numerical cubature over triangles and is a vehicle for a current bibliography. We treat first the theory relating to regular integrands and then the corresponding theory for singular integrands with emphasis on the ``full comer singularity.`` Within these two sections we treat successively approaches based on transforming the triangle into a square, formulas based on polynomial moment fitting, and extrapolation techniques. Within each category we quote key theoretical results without proof, and relate other results and references to these. Nearly all the references we have found may be readily placed in one of these categories. This survey is theoretical in character and does not include recent work in adaptive and automatic integration.
- Research Organization:
- Argonne National Lab., IL (United States)
- Sponsoring Organization:
- USDOE, Washington, DC (United States)
- DOE Contract Number:
- W-31109-ENG-38
- OSTI ID:
- 10124922
- Report Number(s):
- ANL/MCS/CP--81883; CONF-9308116--1; ON: DE94006810
- Country of Publication:
- United States
- Language:
- English
Similar Records
A survey of numerical cubature over triangles
Scaled boundary cubature scheme for numerical integration over planar regions with affine and curved boundaries
Note on cubature over a triangle of a function having specified singularities
Journal Article
·
Fri Dec 30 23:00:00 EST 1994
· Proceedings of Symposia in Applied Mathematics
·
OSTI ID:131613
Scaled boundary cubature scheme for numerical integration over planar regions with affine and curved boundaries
Journal Article
·
Wed Apr 07 20:00:00 EDT 2021
· Computer Methods in Applied Mechanics and Engineering
·
OSTI ID:1781757
Note on cubature over a triangle of a function having specified singularities
Conference
·
Wed Dec 31 23:00:00 EST 1980
·
OSTI ID:6228239