@Article{IJNAM-12-302,
author = {Chunmei Wang and Junping Wang},
title = {A Hybridized Weak Galerkin Finite Element Method for the Biharmonic Equation},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2015},
volume = {12},
number = {2},
pages = {302--317},
abstract = {<p style="text-align: justify;">This paper presents a hybridized formulation for the weak Galerkin finite element
method for the biharmonic equation based on the discrete weak Hessian recently proposed by the
authors. The hybridized weak Galerkin scheme is based on the use of a Lagrange multiplier defined
on the element interfaces. The Lagrange multiplier is verified to provide a numerical approximation
for certain derivatives of the exact solution. An error estimate of optimal order is established for
the numerical approximations arising from the hybridized weak Galerkin finite element method.
The paper also derives a computational algorithm (Schur complement) by eliminating all the
unknowns associated with the interior variables on each element, yielding a significantly reduced
system of linear equations for unknowns on the element interfaces.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/490.html}
}