SIMPLE FORMULA FOR INTEGRATION OF POLYNOMIALS ON A SIMPLEX
Overview & Synopsis
We show that integrating a polynomial of degree t on an arbitrary simplex (with respect to Lebesgue measure) reduces to evaluating t homogeneous polynomials of degree j = 1, 2,. .. , t, each at a unique point ξ j of the simplex. This new and very simple formula can be exploited in finite (and extended finite) element methods, as well as in other applications where such integrals are needed.
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hal.science)
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Document Information
| Document Title | SIMPLE FORMULA FOR INTEGRATION OF POLYNOMIALS ON A SIMPLEX |
|---|---|
| Author / Organization | Jean B Lasserre |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2021 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-138675 |
| Original Source Link | Visit Source Page on hal.science » |