A refining estimation for adaptive solution of wave equation based on curvelets

Jianwei Ma; Gang Tang; M. Y. Hussaini

doi:10.1117/12.730336

20 September 2007 A refining estimation for adaptive solution of wave equation based on curvelets

Jianwei Ma, Gang Tang, M. Y. Hussaini

Proceedings Volume 6701, Wavelets XII; 67012J (2007) https://doi.org/10.1117/12.730336
Event: Optical Engineering + Applications, 2007, San Diego, California, United States

Abstract

This paper presents a refining estimation to control the process of adaptive mesh refinement (AMR) based on the curvelet transform. The curvelet is a recently developed geometric multiscale system that could provide optimal approximation to curve-singularity functions and sparse representation of wavefront phenomena. Utilizing these advantages, we attempt to introduce the curvelet transform into AMR as a criterion estimate of refinement for adaptive solving of the wave equation. Numerical simulations show that the proposed method could optimally capture interesting areas where refinement is needed, so that a high accuracy result is obtained.

Citation Download Citation

Jianwei Ma, Gang Tang, and M. Y. Hussaini "A refining estimation for adaptive solution of wave equation based on curvelets", Proc. SPIE 6701, Wavelets XII, 67012J (20 September 2007); https://doi.org/10.1117/12.730336

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