Journal article
Numerical analysis of the diffusive-viscous wave equation
Computers & mathematics with applications (1987), Vol.102, pp.54-64
11/15/2021
DOI: 10.1016/j.camwa.2021.10.003
Abstract
The diffusive-viscous wave equation arises in a variety of applications in geophysics, and it plays an important role in seismic exploration. In this paper, semi-discrete and fully discrete numerical methods are introduced to solve a general initial-boundary value problem of the diffusive-viscous wave equation. The spatial discretization is carried out through the finite element method, whereas the time derivatives are approximated by finite differences. Optimal order error estimates are derived for the numerical methods. Numerical results on a test problem are reported to illustrate the numerical convergence orders.
Details
- Title: Subtitle
- Numerical analysis of the diffusive-viscous wave equation
- Creators
- Weimin Han - University of IowaChenghang Song - Xi'an Jiaotong UniversityFei Wang - Xi'an Jiaotong UniversityJinghuai Gao - Xi'an Jiaotong University
- Resource Type
- Journal article
- Publication Details
- Computers & mathematics with applications (1987), Vol.102, pp.54-64
- DOI
- 10.1016/j.camwa.2021.10.003
- ISSN
- 0898-1221
- eISSN
- 1873-7668
- Publisher
- Elsevier Ltd
- Grant note
- 12171383 / National Natural Science Foundation of China (https://doi.org/10.13039/501100001809) 2018YFC0603501 / National Key R&D Program of the Ministry of Science and Technology of China 2016ZX05024-001-007; 2017ZX05069 / National Science and Technology Major Project (https://doi.org/10.13039/501100018537) 91730306 / National Natural Science Foundation of China (https://doi.org/10.13039/501100001809)
- Language
- English
- Date published
- 11/15/2021
- Academic Unit
- Mathematics
- Record Identifier
- 9984240774502771
Metrics
21 Record Views