Approximate solution of the Bagley-Torvik equation by hybridizable discontinuous Galerkin methods

Mehmet Fatih Karaaslan; Fatih Celiker; Muhammet Kurulay

doi:10.1016/j.amc.2016.03.024

Approximate solution of the Bagley-Torvik equation by hybridizable discontinuous Galerkin methods

Mehmet Fatih Karaaslan^*, Fatih Celiker, Muhammet Kurulay

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

27 Citations (Scopus)

Abstract

In this paper, we introduce a hybridizable discontinuous Galerkin method for numerically solving a boundary value problem associated with the Bagley-Torvik equation that arises in the study of the motion of a plate immersed in a Newtonian fluid. One of the main features of these methods is that they are efficiently implementable since it is possible to eliminate all internal degrees of freedom and obtain a global linear system that only involves unknowns at the element interfaces. We display the results of a series of numerical experiments to ascertain the performance of the method.

Original language	English
Pages (from-to)	51-58
Number of pages	8
Journal	Applied Mathematics and Computation
Volume	285
DOIs	https://doi.org/10.1016/j.amc.2016.03.024
Publication status	Published - 20 Jul 2016
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2016 Elsevier Inc. All rights reserved.

Keywords

Bagley-Torvik equation
Fractional calculus
Fractional derivative
Hybridizable discontinuous Galerkin methods

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10.1016/j.amc.2016.03.024

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title = "Approximate solution of the Bagley-Torvik equation by hybridizable discontinuous Galerkin methods",

abstract = "In this paper, we introduce a hybridizable discontinuous Galerkin method for numerically solving a boundary value problem associated with the Bagley-Torvik equation that arises in the study of the motion of a plate immersed in a Newtonian fluid. One of the main features of these methods is that they are efficiently implementable since it is possible to eliminate all internal degrees of freedom and obtain a global linear system that only involves unknowns at the element interfaces. We display the results of a series of numerical experiments to ascertain the performance of the method.",

keywords = "Bagley-Torvik equation, Fractional calculus, Fractional derivative, Hybridizable discontinuous Galerkin methods",

author = "Karaaslan, \{Mehmet Fatih\} and Fatih Celiker and Muhammet Kurulay",

year = "2016",

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doi = "10.1016/j.amc.2016.03.024",

language = "English",

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T1 - Approximate solution of the Bagley-Torvik equation by hybridizable discontinuous Galerkin methods

AU - Karaaslan, Mehmet Fatih

AU - Celiker, Fatih

AU - Kurulay, Muhammet

PY - 2016/7/20

Y1 - 2016/7/20

N2 - In this paper, we introduce a hybridizable discontinuous Galerkin method for numerically solving a boundary value problem associated with the Bagley-Torvik equation that arises in the study of the motion of a plate immersed in a Newtonian fluid. One of the main features of these methods is that they are efficiently implementable since it is possible to eliminate all internal degrees of freedom and obtain a global linear system that only involves unknowns at the element interfaces. We display the results of a series of numerical experiments to ascertain the performance of the method.

AB - In this paper, we introduce a hybridizable discontinuous Galerkin method for numerically solving a boundary value problem associated with the Bagley-Torvik equation that arises in the study of the motion of a plate immersed in a Newtonian fluid. One of the main features of these methods is that they are efficiently implementable since it is possible to eliminate all internal degrees of freedom and obtain a global linear system that only involves unknowns at the element interfaces. We display the results of a series of numerical experiments to ascertain the performance of the method.

KW - Bagley-Torvik equation

KW - Fractional calculus

KW - Fractional derivative

KW - Hybridizable discontinuous Galerkin methods

UR - https://www.scopus.com/pages/publications/84962911421

U2 - 10.1016/j.amc.2016.03.024

DO - 10.1016/j.amc.2016.03.024

M3 - Article

AN - SCOPUS:84962911421

SN - 0096-3003

VL - 285

SP - 51

EP - 58

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

Approximate solution of the Bagley-Torvik equation by hybridizable discontinuous Galerkin methods

Abstract

Bibliographical note

Keywords

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