TY - JOUR
T1 - A New Pseudospectral Method on Quadrilaterals
AU - Guo , Benyu
AU - Jia , Hongli
JO - Journal of Computational Mathematics
VL - 4
SP - 365
EP - 384
PY - 2016
DA - 2016/08
SN - 34
DO - http://doi.org/10.4208/jcm.1602-m4537
UR - https://global-sci.org/intro/article_detail/jcm/9801.html
KW - Legendre-Gauss type interpolation on quadrilaterals, Pseudospectral method
of mixed boundary value problems.
AB - <p style="text-align: justify;">In this paper, we investigate a new pseudospectral method for mixed boundary value problems defined on quadrilaterals. We introduce a new Legendre-Gauss type interpolation and establish the basic approximation results, which play important roles in pseudospectral method for partial differential equations defined on quadrilaterals. We propose pseudospectral method for two model problems and prove their spectral accuracy. Numerical results demonstrate their high efficiency. The approximation results developed in this paper are also applicable to other problems defined on complex domains.</p>