Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5776061 | Journal of Computational and Applied Mathematics | 2018 | 13 Pages |
Abstract
In this paper, we introduce a simple finite element method for solving first order hyperbolic equations with easy implementation and analysis. This new method, with a symmetric, positive definite system, is designed to use discontinuous approximations on finite element partitions consisting of arbitrary shape of polygons/polyhedra. Error estimate is established. Extensive numerical examples are tested that demonstrate the robustness and flexibility of the method.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Lin Mu, Xiu Ye,