Optimized finite difference iterative scheme based on POD technique for 2D viscoelastic wave equation

Optimized finite difference iterative scheme based on POD technique for 2D viscoelastic wave equation

This study develops an optimized finite difference iterative （OFDI） scheme for the two-dimensional （2D） viscoelastic wave equation. The OFDI scheme is obtained using a proper orthogonal decomposition （POD） method. It has sufficiently high accuracy with very few unknowns for the 2D viscoelastic wave...

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Veröffentlicht in:Applied mathematics and mechanics 2017-12, Vol.38 (12), p.1721-1732
Hauptverfasser: Xia, Hong, Luo, Zhendong
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Classical Mechanics
Computer simulation
Feasibility studies
Finite difference method
Fluid- and Aerodynamics
Iterative methods
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Partial Differential Equations
Proper Orthogonal Decomposition
Stability analysis
Viscoelasticity
Wave equations
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Zusammenfassung:This study develops an optimized finite difference iterative （OFDI） scheme for the two-dimensional （2D） viscoelastic wave equation. The OFDI scheme is obtained using a proper orthogonal decomposition （POD） method. It has sufficiently high accuracy with very few unknowns for the 2D viscoelastic wave equation. Existence, stability, and convergence of the OFDI solutions are analyzed. Numerical simulations verify efficiency and feasibility of the proposed scheme.
ISSN:0253-4827
1573-2754
DOI:10.1007/s10483-017-2288-8