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 |
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Pages (from-to) | 51-58 |
Number of pages | 8 |
Journal | Applied Mathematics and Computation |
Volume | 285 |
DOIs | |
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