A survey of numerical cubature over triangles
Journal Article
·
· Proceedings of Symposia in Applied Mathematics
This survey collects together theoretical results in the area of numerical cubature over triangles and is a vehicle for a current bibliography. The authors treat first the theory relating to regular integrands and then the corresponding theory for singular integrands with emphasis on the full corner singularity. Within these two sections they treat successfully approaches based on transforming the triangle into a square, formulas based on polynomial moment fitting, and extrapolation techniques. Within each category they quote key theoretical results without proof, and relate other results and references to these. Nearly all the references they 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. 69 refs.
- Research Organization:
- Argonne National Laboratory (ANL), Argonne, IL
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- W-31109-ENG-38
- OSTI ID:
- 131613
- Journal Information:
- Proceedings of Symposia in Applied Mathematics, Journal Name: Proceedings of Symposia in Applied Mathematics Vol. 48; ISSN PSYMA7
- Country of Publication:
- United States
- Language:
- English
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