TY - JOUR
T1 - Composite Laguerre-Legendre Pseudospectral Method for Exterior Problems
AU - Tian-Jun Wang & Ben-Yu Guo
JO - Communications in Computational Physics
VL - 2-4
SP - 350
EP - 375
PY - 2009
DA - 2009/02
SN - 5
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cicp/7736.html
KW - 
AB - <p style="text-align: justify;">In this paper, we propose a composite Laguerre-Legendre pseudospectral method for exterior problems with a square obstacle. Some results on the composite Laguerre-Legendre interpolation, which is a set of piecewise mixed interpolations coupled with domain decomposition, are established. As examples of applications, the composite pseudospectral schemes are provided for two model problems. The convergence of proposed schemes are proved. Efficient algorithms are implemented. Numerical results demonstrate the spectral accuracy in space of this new approach.</p>