@Article{IJNAM-20-5,
author = {Li, Dan and Yiqiang, Li and Zhanbin, Yuan},
title = {A New Weak Galerkin Method with Weakly Enforced Dirichlet Boundary Condition },
journal = {International Journal of Numerical Analysis and Modeling},
year = {2023},
volume = {20},
number = {5},
pages = {647--666},
abstract = {<p style="text-align: justify;">A new weak Galerkin method with weakly enforced Dirichlet boundary condition is
proposed and analyzed for the second order elliptic problems. Two penalty terms are incorporated
into the weak Galerkin method to enforce the boundary condition in the weak sense. The new
numerical scheme is designed by using the locally constructed weak gradient. Optimal order error
estimates are established for the numerical approximation in the energy norm and usual $L^2$ norm.
Moreover, by using the Schur complement technique, the unknowns of the numerical scheme are
only defined on the boundary of each piecewise element and an effective implementation of the
reduced global system is presented. Some numerical experiments are reported to demonstrate the
accuracy and efficiency of the proposed method.</p>},
issn = {2617-8710},
doi = {https://doi.org/10.4208/ijnam2023-1028},
url = {https://global-sci.com/article/82910/a-new-weak-galerkin-method-with-weakly-enforced-dirichlet-boundary-condition}
}