A wavelet-based error estimator and an adaptive scheme for plate bending problems

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.