Publication: The intersection of bivariate orthogonal polynomials on triangle patches
The intersection of bivariate orthogonal polynomials on triangle patches
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Koornwinder, T. H., & Sauter, S. A. (2015). The intersection of bivariate orthogonal polynomials on triangle patches. Mathematics of Computation, 84, 1795–1812. https://doi.org/10.1090/S0025-5718-2014-02910-4
Abstract
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In this paper, the intersection of bivariate orthogonal polynomials on triangle patches will be investigated. The result is interesting on its own but also has important applications in the theory of a posteriori error estimation for finite element discretizations with p-refinement, i.e., if the local polynomial degree of the test and trial functions is increased to improve the accuracy. A triangle patch is a set of disjoint open triangles whose closed union covers a neighborhood of the common triangle vertex. On each triangle we cons
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- Koornwinder, Tom H
- Sauter, Stefan A
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Koornwinder, T. H., & Sauter, S. A. (2015). The intersection of bivariate orthogonal polynomials on triangle patches. Mathematics of Computation, 84, 1795–1812. https://doi.org/10.1090/S0025-5718-2014-02910-4
