High-order numerical integration on regular embedded surfaces
arxiv(2024)
摘要
We present a high-order surface quadrature (HOSQ) for accurately
approximating regular surface integrals on closed surfaces. The initial step of
our approach rests on exploiting square-squeezing–a homeomorphic bilinear
square-simplex transformation, re-parametrizing any surface triangulation to a
quadrilateral mesh. For each resulting quadrilateral domain we interpolate the
geometry by tensor polynomials in Chebyshev–Lobatto grids. Posterior the
tensor-product Clenshaw-Curtis quadrature is applied to compute the resulting
integral. We demonstrate efficiency, fast runtime performance, high-order
accuracy, and robustness for complex geometries.
更多查看译文
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