Wavelets for the Maxwell's equations: An overview

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:321

Article

Amat, Sergio¹  Blazquez, Pedro J.²  Busquier, Sonia¹  Bermudez, Concepcion¹ 

[1] Univ Politecn Cartagena, Dept Matemat Aplicada & Estadist, Murcia, Spain

[2] Univ Int La Rioja, Av Gran Via Rey Juan Carlos 1 41, Logrono 26002, La Rioja, Spain

关键词: Wavelets;    Multiresolution;    Stability;    Adaptivity;    Maxwell's equations;   

DOI  :  10.1016/j.cam.2017.02.015

来源: Elsevier

【 摘 要 】

In recent years wavelets decompositions have been widely used in computational Maxwell's curl equations, to effectively resolve complex problems. In this paper, we review different types of wavelets that we can consider, the Cohen-Daubechies-Feauveau biorthogonal wavelets, the orthogonal Daubechies wavelets and the Deslauries-Dubuc interpolating wavelets. We summarize the main features of these frameworks and we propose some possible future works. (C) 2017 Elsevier B.V. All rights reserved.

【 授权许可】

Free