A Fast Algorithm to Solve Nonlinear Hypersingular Integral Equations Arising in a Crack Problem

Journal: Mechanics, Materials Science & Engineering Journal (Vol.3, No. 1)

Publication Date: 2016-03-11

Authors : Capobianco; G. Criscuolo;

Page : 1-1

Keywords : nonlinear hypersingular integral equation; collocation method; Newton method; GMRES algorithm;

Source : Download Find it from : Google Scholar

Abstract

A fast algorithm related to the generalized minimal residual algorithm (GMRES) is proposed to approximate solution of a nonlinear hypersingular integral equation arising in a crack problem. At first, a collocation method is proposed and developed in weighted Sobolev space. Then, the Newton-Kantorovjch method is used for solving the obtained system of nonlinear equations

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A Fast Algorithm to Solve Nonlinear Hypersingular Integral Equations Arising in a Crack Problem

Abstract

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