BPX preconditioner for hypersingular integral equations

DOI10.1216/jiea/1181074219zbMath0916.65136OpenAlexW2060501485MaRDI QIDQ1272575

Thang Cao

Publication date: 6 July 1999

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

Full work available at URL: http://math.la.asu.edu/~rmmc/jie/Vol10-2/cont102/cont102.html

zbMATH Keywords

condition numberconjugate gradient methodhypersingular integral equationsGalerkin approximationhierarchical basis preconditionerBPX preconditioner

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Boundary element methods for boundary value problems involving PDEs (65N38)

Cites Work

• On the convergence of the multigrid method for a hypersingular integral equation of the first kind
• On the multi-level splitting of finite element spaces
• Multilevel Schwarz methods
• A hypersingular boundary integral method for two-dimensional screen and crack problems
• Some Estimates for a Weighted L 2 Projection
• Parallel Multilevel Preconditioners
• New Convergence Estimates for Multigrid Algorithms
• Iterative Methods by Space Decomposition and Subspace Correction
• The Analysis of Multigrid Algorithms for Pseudodifferential Operators of Order Minus One
• Additive schwarz methods for the H-version boundary element method
• Hierarchical basis methods for hypersingular integral equations
• New Estimates for Multilevel Algorithms Including the V-Cycle
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: BPX preconditioner for hypersingular integral equations