Global polynomial approximation for Symm's equation on polygons
type: Item
instance of: scholarly article
title: Global polynomial approximation for Symm's equation on polygons
zbMATH Open document ID: 0972.65122
published in: Numerische Mathematik
publication date: 2001-11-11T00:00:00Z
review text: The authors present a stability and convergence analysis of high order collocation methods for Symm's integral equation on curves with corners. The method is based on a mesh grading transformation of the original equation which ``spreads out'' the singularities at the corner points, followed by collocation with global algebraic polynomials for the transformed equation. This scheme offers an interesting alternative to known methods based on splines or trigonometric polynomials. Some numerical experiments are reported which illustrate the convergence results and show that the resulting linear systems are fairly well-conditioned.
reviewed by: Johannes Elschner
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45E10
Mathematics Subject Classification ID: 42C10
zbMATH DE Number: 1547999
zbMATH Keywords: Symm's integral equation
zbMATH Keywords: polygonal boundary
zbMATH Keywords: high order collocation methods
zbMATH Keywords: polynomial approximation
zbMATH Keywords: Mellin techniques
zbMATH Keywords: convergence
zbMATH Keywords: stability
zbMATH Keywords: numerical experiments
author: G. Monegato
author: Letizia Scuderi
MaRDI profile type: Publication
DOI: 10.1007/S002110000180
description: scientific article; zbMATH DE number 1547999