The side-vertex method for interpolation in triangles
โ Scribed by Gregory M. Nielson
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 750 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0021-9045
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๐ SIMILAR VOLUMES
## Abstract A new method for interpolating in triangles is described. Bivariate cubic polynomials are utilized to define an interpolant which assumes arbitrary position and slope on the entire boundary of a triangular domain. Some examples and applications are discussed.
Sharp reiteration theorems for the K-interpolation method in limiting cases are proved using two-sided estimates of the K-functional. As an application, sharp mapping properties of the Riesz potential are derived in a limiting case.
We present a review of the constrained interpolation profile (CIP) method that is known as a general numerical solver for solid, liquid, gas, and plasmas. This method is a kind of semi-Lagrangian scheme and has been extended to treat incompressible flow in the framework of compressible fluid. Since