TY - EJOU AU - Liu, Xiaojing AU - Wang, Jizeng AU - Zhou, Youhe TI - A High-Order Accurate Wavelet Method for Solving Three-Dimensional Poisson Problems T2 - Computer Modeling in Engineering \& Sciences PY - 2015 VL - 107 IS - 6 SN - 1526-1506 AB - Based on the approximation scheme for a L2-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. KW - Coiflet-type wavelet KW - Galerkin method KW - three-dimensional Poisson equation KW - mixed boundary conditions DO - 10.3970/cmes.2015.107.433