@Article{AAMM-16-4,
author = {Yanli, Chen and Zhang, Tie and Ying, Sheng},
title = {A Primal-Dual Discontinuous Galerkin Finite Element Method for Ill-Posed Elliptic Cauchy Problems},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2024},
volume = {16},
number = {4},
pages = {860--877},
abstract = {<p style="text-align: justify;">We present a primal-dual discontinuous Galerkin finite element method for
a type of ill-posed elliptic Cauchy problem. It is shown that the discrete problem attains a unique solution, if the solution of the ill-posed elliptic Cauchy problems is
unique. An optimal error estimate is obtained in a $H^1$-like norm. Numerical experiments are provided to demonstrate the efficiency of the proposed method.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2022-0108},
url = {https://global-sci.com/article/90872/a-primal-dual-discontinuous-galerkin-finite-element-method-for-ill-posed-elliptic-cauchy-problems}
}