@Article{IJNAM-19-1,
author = {Wang, Chunmei},
title = {L​ow Regularity Primal-Dual Weak Galerkin Finite Element Methods for Ill-Posed Elliptic Cauchy Problems},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2022},
volume = {19},
number = {1},
pages = {33--51},
abstract = {<p style="text-align: justify;">A new primal-dual weak Galerkin (PDWG) finite element method is introduced and analyzed for the ill-posed elliptic Cauchy problems with ultra-low regularity assumptions on the exact solution. The Euler-Lagrange formulation resulting from the PDWG scheme yields a system of equations involving both the primal equation and the adjoint (dual) equation. The optimal order error estimate for the primal variable in a low regularity assumption is established. A series of numerical experiments are illustrated to validate effectiveness of the developed theory.</p>},
issn = {2617-8710},
doi = {https://doi.org/2022-IJNAM-20348},
url = {https://global-sci.com/article/82923/low-regularity-primal-dual-weak-galerkin-finite-element-methods-for-ill-posed-elliptic-cauchy-problems}
}