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

doi:10.1007/s10483-017-2288-8

Abstract

Abstract: 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.

Key words: censored data, a.s. convergence, asymptotic normality, K-M estimator, stability, numerical simulation, convergence, viscoelastic wave equation, proper orthogonal decomposition (POD), existence, optimized finite difference iterative (OFDI) scheme

2010 MSC Number:

Hong XIA, Zhendong LUO. Optimized finite difference iterative scheme based on POD technique for 2D viscoelastic wave equation. Applied Mathematics and Mechanics (English Edition), 2017, 38(12): 1721-1732.

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