Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8902610 | Applied Numerical Mathematics | 2018 | 13 Pages |
Abstract
In this paper, we study a spectral method for the triangular prism. We construct an approximation space in the “pole” condition in which the integral singularity is removed in a simple and effective way. We build a quasi-interpolation operator in the approximation space, and analyze its L2-error. Based on the quasi-interpolation, a triangular prism spectral method for the elliptic modal problem is studied. Furthermore, we extend this triangular prism spectral method to a triangular prism spectral element method. For the elliptic modal problem, we present the spectral element scheme and analyze the convergence. At last, we do some experiments to test the effectiveness of the method.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics
Authors
Jingliang Li, Heping Ma, Yonghui Qin, Shuaiyin Zhang,