The Least-Squares Finite Element and Minimum Residual Method for Linear Hyperbolic Problems

Adin Lazuardy Firdiansyah, Marjono, Nur Shofianah

2018

Abstract

Many linear hyperbolic equations are applied in sciences, for example, propagation wave and transport molecules. When the boundary data is discontinuous, the solution of linear hyperbolic equation is also discontinuous. This condition influences in finding an approximate numerical method for its solution. In the paper, we focus on the least-squares finite element method to solve linear hyperbolic equation. The linear system resulting from the discretization is a symmetric and positive definite system that will be solved using minimum residual method. Some numerical experiments are tested to illustrate the validity of the method. The numerical result shows that the method can efficiently solve the continuous and discontinuous problem of linear hyperbolic equation without oscillation

Paper Citation

in Harvard Style

Firdiansyah A., Shofianah N. and Marjono. (2018). The Least-Squares Finite Element and Minimum Residual Method for Linear Hyperbolic Problems.In Proceedings of the International Conference on Mathematics and Islam - Volume 1: ICMIs, ISBN 978-989-758-407-7, pages 278-283. DOI: 10.5220/0008520702780283

in Bibtex Style

@conference{icmis18,
author={Adin Lazuardy Firdiansyah and Nur Shofianah and Marjono},
title={The Least-Squares Finite Element and Minimum Residual Method for Linear Hyperbolic Problems},
booktitle={Proceedings of the International Conference on Mathematics and Islam - Volume 1: ICMIs,},
year={2018},
pages={278-283},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0008520702780283},
isbn={978-989-758-407-7},
}

in EndNote Style

TY - CONF

JO - Proceedings of the International Conference on Mathematics and Islam - Volume 1: ICMIs,
TI - The Least-Squares Finite Element and Minimum Residual Method for Linear Hyperbolic Problems
SN - 978-989-758-407-7
AU - Firdiansyah A.
AU - Shofianah N.
AU - Marjono.
PY - 2018
SP - 278
EP - 283
DO - 10.5220/0008520702780283