@Article{NMTMA-16-2,
author = {Raman, Kumar and Deka, Bhupen and Roy, Papri and Naresh, Kumar and Raman, Kumar},
title = {Convergence of Weak Galerkin Finite Element Method for Second Order Linear Wave Equation in Heterogeneous Media},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2023},
volume = {16},
number = {2},
pages = {323--347},
abstract = {<p style="text-align: justify;">Weak Galerkin finite element method is introduced for solving wave equation with interface on weak Galerkin finite element space $(\mathcal{P}_k(K), \mathcal{P}_{k−1}(∂K), [\mathcal{P}_{k−1}(K)]^2).$ Optimal order a priori error estimates for both space-discrete scheme and implicit fully discrete scheme are derived in $L^∞(L^2)$ norm. This method uses totally discontinuous functions in approximation space and allows the usage of finite element partitions consisting of general polygonal meshes. Finite element algorithm presented here can contribute to a variety of hyperbolic problems where physical domain consists of heterogeneous media.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.OA-2021-0080},
url = {https://global-sci.com/article/90209/convergence-of-weak-galerkin-finite-element-method-for-second-order-linear-wave-equation-in-heterogeneous-media}
}