Riv.Mat.Univ.Parma (6) 1 (1998)


A posteriori error estimates for hierarchical methods

Pages: 53-69
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.

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