文章基本信息

标题：Improving Time Stability Constraints for the Spectral Finite Element Method in Acoustic Wave Propagation Numerical Simulations
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作者：Felipe S. Loureiro ; Jonathan E. A. Silva ; Webe J. Mansur 等
期刊名称：Mecánica Computacional
印刷版ISSN：2591-3522
出版年度：2014
卷号：33
期号：8
页码：585-596
语种：English
出版社：CIMEC-INTEC-CONICET-UNL
其他摘要：The numerical solution of the scalar wave equation, arising, for instance, in geophysics and seismic engineering, by means of the spectral finite element method (SFEM) based on the Gauss-Lobatto-Legendre quadrature has been receiving great popularity. The SFEM can be viewed as a higherorder finite element method (FEM) with some advantages such as mass-lumping and less dispersion errors. However, when common explicit time-stepping schemes are employed, the critical time step becomes too restrictive as the polynomial degree increases. In this context, an explicit time-stepping scheme based on numerical Green’s functions is presented to circumvent this drawback. The Green’s functions are explicitly computed taking into account the Runge-Kutta (RK) scheme and a time substep procedure. Unlike the standard Runge-Kutta scheme, the present methodology allows the use of large time steps without loss of accuracy. Numerical simulations of a heterogeneous seismic model in an unbounded medium are presented and analyzed in order to illustrate the effectiveness of the proposed formulation.