A multi-level direct-iterative solver for seismic wave propagation modelling: space and wavelet approaches

Seismic Wave-Field Propagation Modelling using the Euler Method

Wave-field extrapolation based on solving the wave equation is an important step in seismic modeling and needs a high level of accuracy. It has been implemented through a various numerical methods such as finite difference method as the most popular and conventional one. Moreover, the main drawbacks of the finite difference method are the low level of accuracy and the numerical dispersion for l...

Modelling Seismic Wave Propagation for Geophysical Imaging

A preconditioned 3-D multi-region fast multipole solver for seismic wave propagation in complex geometries

The analysis of seismic wave propagation and amplification in complex geological structures requires efficient numerical methods. In this article, following up on recent studies devoted to the formulation, implementation and evaluation of 3D singleand multi-region elastodynamic fast multipole boundary element methods (FM-BEMs), a simple preconditioning strategy is proposed. Its efficiency is de...

On 3D modeling of seismic wave propagation via a structured parallel multifrontal direct Helmholtz solver

We consider the modeling of (polarized) seismic wave propagation on a rectangular domain via the discretization and solution of the inhomogeneous Helmholtz equation in 3D, by exploiting a parallel multifrontal sparse direct solver equipped with Hierarchically Semi-Separable (HSS) structure to reduce the computational complexity and storage. In particular, we are concerned with solving this equa...

Iterative multi-level modelling. A methodology for computer system design

The paper presents a method of modelling a computer system design as it evolves, so that evaluation can be made an integral part of the design process. The paper introduces the concept of concurrent existence, within a single model, of several representations of the system being modelled, at differing levels of abstraction. Thus important design decisions are expressed directly in terms of appr...