A simple finite element method for linear hyperbolic problems
Abstract
Here, we introduce a simple finite element method for solving first order hyperbolic equations with easy implementation and analysis. Our 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.
 Authors:
 Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Computer Science and Mathematics Division
 Univ. of Arkansas, Little Rock, AR (United States). Dept. of Mathematics
 Publication Date:
 Research Org.:
 Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
 Sponsoring Org.:
 USDOE; National Science Foundation (NSF)
 OSTI Identifier:
 1407723
 Grant/Contract Number:
 AC0500OR22725; DMS1620016
 Resource Type:
 Journal Article: Accepted Manuscript
 Journal Name:
 Journal of Computational and Applied Mathematics
 Additional Journal Information:
 Journal Volume: 330; Journal Issue: C; Journal ID: ISSN 03770427
 Publisher:
 Elsevier
 Country of Publication:
 United States
 Language:
 English
 Subject:
 97 MATHEMATICS AND COMPUTING; Finite element methods; Hyperbolic equations
Citation Formats
Mu, Lin, and Ye, Xiu. A simple finite element method for linear hyperbolic problems. United States: N. p., 2017.
Web. doi:10.1016/j.cam.2017.08.025.
Mu, Lin, & Ye, Xiu. A simple finite element method for linear hyperbolic problems. United States. doi:10.1016/j.cam.2017.08.025.
Mu, Lin, and Ye, Xiu. 2017.
"A simple finite element method for linear hyperbolic problems". United States.
doi:10.1016/j.cam.2017.08.025.
@article{osti_1407723,
title = {A simple finite element method for linear hyperbolic problems},
author = {Mu, Lin and Ye, Xiu},
abstractNote = {Here, we introduce a simple finite element method for solving first order hyperbolic equations with easy implementation and analysis. Our 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.},
doi = {10.1016/j.cam.2017.08.025},
journal = {Journal of Computational and Applied Mathematics},
number = C,
volume = 330,
place = {United States},
year = 2017,
month = 9
}
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