ALESSANDRA DE ROSSI
A posteriori error estimates for hierarchical methods
Received: 16 June 1998
Mathematics Subject Classification (2000): 65N50 - 65N30
Abstract: This paper contains the proofs of some a posteriori error estimates based on hierarchical bases. The author analyzes the case of a selfadjoint and positive definite variational form and afterwards the nonselfadjoint and indefinite one. Moreover the case of a modified variational form is considered. Some examples are given for stabilized convection-diffusion equation. The estimates can be apply in the wavelet-based adaptive finite element method.