Publication Type
Journal
Journal Name
International Journal of Numerical Analysis and Modeling
Publication Date
Page Numbers
591 to 603
Volume
14
Issue
4-5
Abstract
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.