An optimized SPDMFE extrapolation approach based on the POD technique for 2D viscoelastic wave equation
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- 作者：Zhendong Luo ; Fei Teng
- 关键词：optimized splitting positive definite mixed finite element extrapolation approach ; proper orthogonal decomposition technique ; viscoelastic wave equation ; error estimate ; numerical simulation
- 刊名：Boundary Value Problems
- 出版年：2017
- 出版时间：December 2017
- 年：2017
- 卷：2017
- 期：1
- 全文大小：2903KB
- 刊物主题：Difference and Functional Equations; Ordinary Differential Equations; Partial Differential Equations; Analysis; Approximations and Expansions; Mathematics, general;
- 出版者：Springer International Publishing
- ISSN：1687-2770
- 卷排序：2017
文摘
An optimized splitting positive definite mixed finite element (SPDMFE) extrapolation approach based on proper orthogonal decomposition (POD) technique is developed for the two-dimension viscoelastic wave equation (2DVWE). The errors of the optimized SPDMFE extrapolation solutions are analyzed. The implement procedure for the optimized SPDMFE extrapolation approach is offered. Some numerical simulations have verified that the numerical conclusions are accordant with theoretical ones. This implies that the optimized SPDMFE extrapolation approach is viable and valid for solving 2DVWE.