TY - JOUR
T1 - A Hybridizable Weak Galerkin Method for the Helmholtz Equation with Large Wave Number: $hp$ Analysis
AU - Jiangxing Wang & Zhimin Zhang
JO - International Journal of Numerical Analysis and Modeling
VL - 4-5
SP - 744
EP - 761
PY - 2017
DA - 2017/08
SN - 14
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/10059.html
KW - Weak Galerkin method, hybridizable method, Helmholtz equation, large wave number, error estimates.
AB - <p style="text-align: justify;">In this paper, an $hp$ hybridizable weak Galerkin ($hp$-HWG) method is introduced to
solve the Helmholtz equation with large wave number in two and three dimensions. By choosing a
specific parameter and using the duality argument, we prove that the proposed method is stable
under certain mesh constraint. Error estimate is obtained by using the stability analysis and
the duality argument. Several numerical results are provided to confirm our theoretical results.</p>