The application of a time exponential integrator to the wave equations, oriented to seismic imaging
Résumé
The production of images from the subsurface using elastic waves is an important and challenging problem in geophysics [1]. A key stage is the computation of the solution of the wave propagation equations with absorbing boundary conditions (ABC). Encouraging a continously development of innovative numerical methods to approximate its solution, trying to increase the accuracy and efficiency. A particular class of methods, known as time exponential integrators, have been shown to outperform classical schemes in several physics-related differential equations [2]. However, their application in hyperbolic systems with ABC, like the ones arising in seismic imaging, still lacks theoretical and experimental investigations. For these equations, we study one of the most promising exponential integrators schemes, which is based on Faber polynomials.
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