A Numerical Method for Solving the Variable Coefficient Wave Equation with Interface Jump Conditions
Year: 2019
Author: Liqun Wang, Songming Hou, Liwei Shi, Ping Zhang
International Journal of Numerical Analysis and Modeling, Vol. 16 (2019), Iss. 1 : pp. 1–17
Abstract
Wave equations with interface jump conditions have wide applications in engineering and science, for example in acoustics, elastodynamics, seismology, and electromagnetics. In this paper, an efficient non-traditional finite element method with non-body-fitted grids is proposed to solve variable coefficient wave equations with interface jump conditions. Numerical experiments show that this method is approximately second order accurate both in the $L^∞$ norm and $L^2$ norm for piecewise smooth solutions.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2019-IJNAM-12791
International Journal of Numerical Analysis and Modeling, Vol. 16 (2019), Iss. 1 : pp. 1–17
Published online: 2019-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Non-traditional finite element method wave equation jump condition variable coefficient.