A WAVELET-BASED ERROR ESTIMATOR AND AN ADAPTIVE SCHEME FOR PLATE BENDING PROBLEMS
International Journal of Computational Methods, 2010, 7(2): 241-259.
An error estimator based on wavelet coefficients is presented which takes advantage of the property that wavelet coefficients can convey detailed information on the local regularity of a function. Its computational bounds are obtained by means of a wavelet decomposition algorithm. Then, an associated adaptive wavelet finite element method is developed which employs this error estimator for the plate bending problems. Numerical examples are used to assess the accuracy and efficiency of the current error estimator and the adaptive scheme.
Error estimator; adaptive wavelet finite element method; Daubechies wavelets; plate bending problems