Application of Biorthogonal Spline Wavelet Petrov-Galerkin Method to the Electrostatic Field
Wei Xiao-jing · Journal of Yunnan University of Nationalities · 2010
High dimensional biorthogonal spline wavelet is constructed by the tensor product method.With a wavelet Petrov-Galerkin approach,biorthogonal spline wavelets were adapted to the computing of electrostatic field problems.Using the refinement equations for evaluating integrals of wavelets exactly,the orthogonal and compactly supported of biorthogonal spline wavelets could speed up calculating.In order to reduce the error caused by truncation on the boundary,wavelets on the domain boundary were added.The numerical results of this method showed desirable calculation precision,faster computing speed and fewer elements.