TY - JOUR
T1 - A Simple Finite Element Method of the Cauchy Problem for Poisson Equation
JO - International Journal of Numerical Analysis and Modeling
VL - 4-5
SP - 591
EP - 603
PY - 2017
DA - 2017/08
SN - 14
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/10051.html
KW - Finite element methods, Cauchy problem, polyhedral meshes.
AB - <p style="text-align: justify;">In this paper, we introduce a simple method for the Cauchy problem. This new finite
element method is based on least squares methodology with discontinuous approximations which
can be implemented and analyzed easily. This discontinuous Galerkin finite element method is
flexible to work with general unstructured meshes. Error estimates of the finite element solution
are derived. The numerical examples are presented to demonstrate the robustness and flexibility
of the proposed method.</p>