@Article{NMTMA-13-1007,
author = {Wang , Guanjie and Liao , Qifeng},
title = {An Adaptive Hybrid Spectral Method for Stochastic Helmholtz Problems},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2020},
volume = {13},
number = {4},
pages = {1007--1026},
abstract = {<p style="text-align: justify;">The implementation of an adaptive hybrid spectral method for Helmholtz
equations with random parameters is addressed in this work. New error indicators
for generalized polynomial chaos for stochastic approximations and spectral element
methods for physical approximations are developed, and systematic adaptive strategies are proposed associated with these error indicators. Numerical results show
that these error indicators provide effective estimates for the approximation errors,
and the overall adaptive procedure results in efficient approximation method for the
stochastic Helmholtz equations.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.OA-2019-0101},
url = {http://global-sci.org/intro/article_detail/nmtma/16964.html}
}