A note on the rate of convergence of integration schemes for closed surfaces
Computational and Applied Mathematics(2024)
摘要
In this paper, we issue an error analysis for integration over discrete surfaces using the surface parametrization presented in Praetorius and Stenger (Arch Numer Softw 1(1):2022, 2022) as well as prove why even-degree polynomials utilized for approximating both the smooth surface and the integrand exhibit a higher convergence rate than odd-degree polynomials. Additionally, we provide some numerical examples that illustrate our findings and propose a potential approach that overcomes the problems associated with the original one.
更多查看译文
关键词
Numerical integration,Surface integrals,Convergence rates,Closest point projection,Chebyshev–Lobatto nodes
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要