TY - JOUR
T1 - A Spectral Method for Mixed Boundary Value Problems on Hexahedrons
JO - International Journal of Numerical Analysis and Modeling
VL - 4
SP - 664
EP - 683
PY - 2015
DA - 2015/12
SN - 12
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/506.html
KW - Irrational orthogonal approximation, spectral method on hexahedrons, mixed boundary value problems.
AB - <p style="text-align: justify;">In this paper, we investigate a spectral method for mixed boundary value problems
defined on hexahedrons. Some results on irrational orthogonal approximation are established,
which play important roles in numerical solutions of partial differential equations defined on
hexahedrons. As examples of applications, we provide spectral schemes for two model problems,
and prove their spectral accuracy. Efficient numerical implementations are described. Numerical
results demonstrate the high efficiency of suggested algorithms.</p>