References
- Teng , B , Zhao , M and He , GH . 2006 . Compuration of potential flow around three-dimensional obstacles by a scaled boundary finite-element method (in Chinese). . Chinese Journal of Computational Mechanics , 23 ( 3 ) : 301 – 306 .
- Yu , XJ , Yu , DH and Bao , YZ . 1998 . The adaptive finite element methods and a posteriori error esrimates. . Chinese Journal of Computational physics , 15 ( 5 ) : 513 – 530 .
- Binev , P , Dahmen , W and DeVore , R . 2004 . Adaptive finite element methods with convergence rates. . Numerical Mathematics , 97 ( 2 ) : 219 – 268 .
- Wang , ZQ . 2006 . Advances in polygonal finite element method (in Chinese). . Advances in Mechanics , 36 ( 3 ) : 344 – 353 .
- Hu , QY and Yu , DH . 2001 . Solving singularity problems in unbounded domains by coupling of natural BEM and composite grid FEM. . Applied Numerical Mathematics , 37 : 127 – 143 .
- Wu , ZP and Yu , DH . 2004 . The coupling of natural boundary element and finite element for semilinear boundary value problems. . Mathematica Numerica Sinica , 21 ( 6 ) : 477 – 483 .
- Gilbert , RP and Lin , W . 1993 . Wavelet solutions for time harmonic acoutic waves in a finite ocean. . Journal of Computional Acoustic , 1 ( 1 ) : 31 – 60 .
- Chen , Z , Micchelli , CA and Xu , Y . 2002 . Fast collocation methods for second kind integral equations. . SIAM Journal of Numerical Analysis , 40 ( 1 ) : 344 – 375 .
- Shen , Y and Lin , W . 2004 . The natural integral equations of plane elasticity problem and its wavelet methods. . Applied Mathematics and Computation , 150 : 417 – 438 .
- Chen , Z , Wu , B and Xu , Y . 2006 . Multilevel augmentation methods for diffrential equations. . Advances in Computational Mathematics , 24 ( 1–4 ) : 213 – 238 .
- Cohen , A , Dahmen , W and Devore , R . 2003 . Adaptive wavelet schemes for nonlinear variational problems. . SIAM Journal of Numerical Analysis , 41 ( 5 ) : 1785 – 1823 .
- Dahmen , W , Schneider , R and Xu , Y . 2000 . Nonlinear functionals of wavelet expansions–-adaptive reconstruction and fast evaluation. . Numerical Mathematics , 86 ( 1 ) : 49 – 101 .
- Xu , Y and Zou , Q . 2003 . Adaptive wavelet methods for elliptic operator equations with nonlinear terms. . Advances in Computational Mathematics , 19 ( 1–3 ) : 99 – 146 .
- Jia , RQ and Liu , ST . Wavelet bases for numerical solutions to the Dirichlet problem. . Advances in Computational Mathematics , (to appear)
- Chui , CK . 1995 . An Introduction to Wavelets (Chinese) , (Xi'an: Press of Xi'an Jiaotong University) .
- Jia , RQ and Liu , ST . C 1 spline wavelets on triangulations (to appear) ,
- Stevenson , R . 1998 . Stable three-point wavelet bases on general meshes. . Numerical Mathematics , 80 : 131 – 158 .
- Powell , MJD and Sabin , MA . 1997 . Piecewise quadratic approximations. . ACM Transations on Mathematical Software , 3:4 : 316 – 325 .
- Dyn , N and Lyche , T . 1998 . “ A Hermite subivision scheme for the evaluation of the Powell-Sabin 12-split element ” . In Approximation theory IX , Edited by: Chui , CK and Schumaker , LL . 1 – 6 . Nashville : Vanderbilt University Press .
- Wang , LH and Xu , XJ . 2004 . Mathematics Basis of Finite Element Method (Chinese) , Beijing : Science Press .