Spectral element method for wave propagation on irregular domains

Simulation and Inversion of Seismic Wave Propagation on Continental Scales Based on a Spectral-Element Method

Abstract: We propose a novel technique for seismic waveform tomography on continental scales. This is based on the fully numerical simulation of wave propagation in complex Earth models, the inversion of complete waveforms and the quantification of the waveform discrepancies through a specially designed phase misfit. The numerical solution of the equations of motion allows us to overcome the li...

Sweeping Preconditioners for Elastic Wave Propagation with Spectral Element Methods

We present a parallel preconditioning method for the iterative solution of the time-harmonic elastic wave equation which makes use of higher-order spectral elements to reduce pollution error. In particular, the method leverages perfectly matched layer boundary conditions to efficiently approximate the Schur complement matrices of a block LDL factorization. Both sequential and parallel versions ...

Analysis of an hp-Nonconforming Discontinuous Galerkin Spectral Element Method for Wave Propagation

We analyze the consistency, stability, and convergence of an hp discontinuous Galerkin spectral element method of Kopriva [J. Comput. Phys., 128 (1996), pp. 475–488] and Kopriva, Woodruff, and Hussaini [Internat. J. Numer. Methods Engrg., 53 (2002), pp. 105–122]. The analysis is carried out simultaneously for acoustic, elastic, coupled elastic-acoustic, and electromagnetic wave propagation. Our...

Parallel Irregular Software for Wave Propagation Simulation

Finite Element Heterogeneous Multiscale Method for Transient Wave Propagation

A finite element heterogeneous multiscale method (FEHMM) is proposed for the time dependent wave equation with highly oscillatory, albeit not necessarily periodic, coefficients. It is based on a finite element discretization of an effective wave equation at the macro scale, whose a priori unknown effective coefficients are computed “on the fly” on sampling domains within each macro finite eleme...