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
- Alternate Identifier(s):
- OSTI ID: 1495741
- Grant/Contract Number:
- AC05-00OR22725; DMS-1620016; ERKJE45
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Computational and Applied Mathematics
- Additional Journal Information:
- Journal Volume: 330; Journal Issue: C; Journal ID: ISSN 0377-0427
- 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:https://doi.org/10.1016/j.cam.2017.08.025
Mu, Lin, and Ye, Xiu. Thu .
"A simple finite element method for linear hyperbolic problems". United States. doi:https://doi.org/10.1016/j.cam.2017.08.025. https://www.osti.gov/servlets/purl/1407723.
@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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