Article ID Journal Published Year Pages File Type
5776061 Journal of Computational and Applied Mathematics 2018 13 Pages PDF
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.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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