The \(h-p\)-version of spline approximation methods for Mellin convolution equations

DOI10.1216/jiea/1181075727zbMath0781.65103OpenAlexW2074655580MaRDI QIDQ1801437

Johannes Elschner

Publication date: 1993

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jiea/1181075727

zbMATH Keywords

weighted Sobolev spaceMellin convolution equationsspline approximation methods\(h\)-\(p\)-version

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (8)

Convergence rate for a Gauss collocation method applied to unconstrained optimal control ⋮ A wavelet algorithm for the solution of the double layer potential equation over polygonal boundaries ⋮ A modified Nyström method for integral equations with Mellin type kernels ⋮ A new stable numerical method for Mellin integral equations in weighted spaces with uniform norm ⋮ Convergence Rate for a Gauss Collocation Method Applied to Constrained Optimal Control ⋮ A Nyström method for integral equations with fixed singularities of Mellin type in weighted \(L^p\) spaces ⋮ On the stability of a modified Nyström method for Mellin convolution equations in weighted spaces ⋮ Convergence rate for a Radau hp collocation method applied to constrained optimal control

Cites Work

• The p- and h-p versions of the finite element method. An overview
• The h-p version of the finite element method. I. The basic approximation results
• On spline collocation for convolution equations
• Numerical analysis for integral and related operator equations.
• On the exponential convergence of theh-p version for boundary element Galerkin methods on polygons
• On Spline Approximation for a Class of Non‐Compact Integral Equations
• Product Integration-Collocation Methods for Noncompact Integral Operator Equations
• High-Order Methods for Linear Functionals of Solutions of Second Kind Integral Equations
• Asymptotics of Solutions to Pseudodifferential Equations of MELLIN Type
• The $h-p$ version of the boundary element method on polygonal domains with quasiuniform meshes
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