Haar wavelets method for solving Poisson equations with jump conditions in irregular domain |
| |
Authors: | Email author" target="_blank">Shi?ZhiEmail author Xu?Yan-hua Zhao?Jun-ping |
| |
Institution: | 1.School of Science,Xi’an University of Architecture and Technology,Xi’an,China |
| |
Abstract: | In this paper, Haar wavelets method is used to solve Poisson equations in the presence of interfaces where the solution itself may be discontinuous. The interfaces have jump conditions which need to be enforced. It is critical for the approximation of the boundaries of the irregular domain. An irregular domain can be treated by embedding the domain into a rectangular domain and Poisson equation is solved by using Haar wavelets method on the rectangle. Firstly, we demonstrate this method in the case of 1-D region, then we consider the solution of the Poisson equations in the case of 2-D region. The efficiency of the method is demonstrated by some numerical examples. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|