@Article{cmes.2015.107.433,
AUTHOR = {Xiaojing  Liu, Jizeng  Wang, Youhe  Zhou},
TITLE = {A High-Order Accurate Wavelet Method for Solving Three-Dimensional Poisson Problems},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {107},
YEAR = {2015},
NUMBER = {6},
PAGES = {433--446},
URL = {http://www.techscience.com/CMES/v107n6/27265},
ISSN = {1526-1506},
ABSTRACT = {Based on the approximation scheme for a <i>L<sup>2</sup></i>-function defined on a three-dimensional bounded space by combining techniques of boundary extension and Coiflet-type wavelet expansion, a modified wavelet Galerkin method is proposed for solving three-dimensional Poisson problems with various boundary conditions. Such a wavelet-based solution procedure has been justified by solving five test examples. Numerical results demonstrate that the present wavelet method has an excellent numerical accuracy, a fast convergence rate, and a very good capability in handling complex boundary conditions.},
DOI = {10.3970/cmes.2015.107.433}
}