TY - JOUR
T1 - The Weak Galerkin Method for Linear Hyperbolic Equation
AU - Qilong Zhai, Ran Zhang, Nolisa Malluwawadu & Saqib Hussain
JO - Communications in Computational Physics
VL - 1
SP - 152
EP - 166
PY - 2018
DA - 2018/03
SN - 24
DO - http://doi.org/10.4208/cicp.OA-2017-0052
UR - https://global-sci.org/intro/article_detail/cicp/10932.html
KW - Weak Galerkin finite element method, linear hyperbolic equation, error estimate.
AB - <p style="text-align: justify;">The linear hyperbolic equation is of great interest in many branches of physics
and industry. In this paper, we use the weak Galerkin method to solve the linear hyperbolic
equation. Since the weak Galerkin finite element space consists of discontinuous
polynomials, the discontinuous feature of the equation can be maintained. The optimal
error estimates are proved. Some numerical experiments are provided to verify
the efficiency of the method.</p>