On spline Galerkin methods for singular integral equations with piecewise continuous coefficients

DOI10.1007/BF01389445zbMath0619.65142OpenAlexW1970397456MaRDI QIDQ1089776

Andreas Rathsfeld, Siegfried Prössdorf

Publication date: 1986

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133061

zbMATH Keywords

convergenceGalerkin methodpolynomial splinespiecewise continuous coefficientsError estimates

Mathematics Subject Classification ID

Systems of singular linear integral equations (45F15) Numerical methods for integral equations (65R20)

Related Items

Projector-splines in the numerical solution of integro-differential equations, A review of some numerical methods for the solution of Cauchy singular integral equations, Unconventional solution of singular integral equations, More Than 40 Years of Algebraic Techniques in Numerical Analysis, On strongly elliptic singular integral operators with piecewise continuous coefficients

Cites Work

• Galerkin methods with splines for singular integral equations over (0,1)
• The convergence of Galerkin and collocation methods with splines for pseudodifferential equations on closed curves
• A spline collocation method for singular integral equations with piecewise continuous coefficients
• On strongly elliptic singular integral operators with piecewise continuous coefficients
• The convergence of spline collocation for strongly elliptic equations on curves
• Integral equations with non integrable kernels
• A practical guide to splines
• On the Asymptotic Convergence of Collocation Methods
• A Galerkin Method with Finite Elements for Degenerate One Dimensional Pseudodifferential Equations
• On Spline Collocation for Singular Integral Equations
• A Finite Element Collocation Method for Singular Integral Equations
• Ein Lokalisierungsprinzip in der Theorie der Spline-Approximationen und einige Anwendungen
• On ε-Collocation for Pseudodifferential Equations on a Closed Curve
• On the Asymptotic Convergence of Collocation Methods With Spline Functions of Even Degree
• Galerkin Methods for Singular Integral Equations
• Application of the method of potentials in problems of fracture mechanics
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item