Adaptive wavelet methods for elliptic operator equations with nonlinear terms
type: Item
instance of: scholarly article
title: Adaptive wavelet methods for elliptic operator equations with nonlinear terms
zbMATH Open document ID: 1025.65058
DOI: 10.1023/A:1022816511874
author: Yuesheng Xu
author: Qingsong Zou
published in: Advances in Computational Mathematics
publication date: 2003-05-04T00:00:00Z
review text: The authors present an adaptive wavelet method for the numerical solution of elliptic operator equations with nonlinear terms. The method is developed based on tree approximation for the solution of the equations and an adaptive fast reconstruction of nonlinear functionals of the wavelet expansions. A constructive greedy scheme is introduced. These adaptive methods generate approximate solutions with optimal order in both convergence and computational complexity when the solutions have certain degree of Besov regularity.
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35R20
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 65T60
zbMATH DE Number: 1903991
zbMATH Keywords: adaptive wavelet methods
zbMATH Keywords: tree approximation
zbMATH Keywords: constructive greedy schemes
zbMATH Keywords: elliptic operator equations
zbMATH Keywords: convergence
zbMATH Keywords: computational complexity
zbMATH Keywords: Besov regularity
MaRDI profile type: Publication
full work available at URL: a:1022816511874
OpenAlex ID: W2290235691
description: scientific article; zbMATH DE number 1903991