A dissipation-preserving finite element method for nonlinear fractional wave equations on irregular convex domains

Meng Li, Mingfa Fei, Nan Wang and Chengming Huang

Mathematics and Computers in Simulation (MATCOM), 2020, vol. 177, issue C, 404-419

Abstract: In this manuscript, we consider an efficient dissipation-preserving finite element method for a class of two-dimensional nonlinear fractional wave equations on irregular convex domains. We show that the fully discrete method preserves the discrete energy structures under the same boundary conditions as the continuous model. Furthermore, the optimal order error estimates of the fully discrete scheme are proved in detail. Finally, the numerical simulations, which are based on spatial unstructured meshes, are presented to confirm the correctness of the theoretical results.

Keywords: Nonlinear dissipative wave equations; Irregular convex domains; Unstructured mesh; Finite element method; Riesz fractional derivatives; Dissipation and conservation; Convergence (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475420301646
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:177:y:2020:i:c:p:404-419

DOI: 10.1016/j.matcom.2020.05.005

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().