A wavelet-based nested iteration-inexact conjugate gradient algorithm for adaptively solving elliptic PDEs
type: Item
instance of: scholarly article
title: A wavelet-based nested iteration-inexact conjugate gradient algorithm for adaptively solving elliptic PDEs
zbMATH Open document ID: 1152.65108
author: Carsten Burstedde
author: Angela Kunoth
published in: Numerical Algorithms
publication date: 2008-08-20T00:00:00Z
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 65T60
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65F35
Mathematics Subject Classification ID: 65N55
zbMATH DE Number: 5314365
zbMATH Keywords: elliptic PDEs
zbMATH Keywords: biorthogonal spline-wavelets
zbMATH Keywords: optimal preconditioning
zbMATH Keywords: adaptive method
zbMATH Keywords: nested iteration
zbMATH Keywords: inexact conjugate gradient (CG) method
zbMATH Keywords: Poisson equation
zbMATH Keywords: multigrid
zbMATH Keywords: finite elements
MaRDI profile type: Publication
full work available at URL: s11075-008-9164-0
OpenAlex ID: W2125940631
cites work: Adaptive wavelet schemes for elliptic problems--implementation and numerical experiments
cites work: Fast wavelet transforms and numerical algorithms I
cites work: An Adaptive WEM Algorithm for Solving Elliptic Boundary Value Problems in Fairly General Domains
cites work: Fast iterative solution of elliptic control problems in wavelet discretization
cites work: Parallel Multilevel Preconditioners
cites work: Finite elements. Theory, fast solvers, and applications in solid mechanics. Transl. from the German by Larry L. Schumaker.
cites work: Adaptive wavelet methods for elliptic operator equations: Convergence rates
cites work: Biorthogonal bases of compactly supported wavelets
cites work: Q4434436
cites work: The wavelet element method. I: Construction and analysis
cites work: Stability of multiscale transformations
cites work: Q4356573
cites work: Wavelet methods for PDEs -- some recent developments
cites work: Q4215356
cites work: Multilevel preconditioning
cites work: Wavelet Least Squares Methods for Boundary Value Problems
cites work: Biorthogonal spline wavelets on the interval -- stability and moment conditions
cites work: Q4880368
cites work: Composite wavelet bases for operator equations
cites work: Wavelets on Manifolds I: Construction and Domain Decomposition
cites work: Some remarks on greedy algorithms
cites work: An optimal adaptive wavelet method without coarsening of the iterands
cites work: Inexact Preconditioned Conjugate Gradient Method with Inner-Outer Iteration
cites work: Q4023463
cites work: Wavelets on manifolds: An optimized construction
cites work: Q5718780
cites work: Q4380363
cites work: On the Compressibility of Operators in Wavelet Coordinates
cites work: Q4358722
cites work: Inexact Krylov Subspace Methods for Linear Systems
DOI: 10.1007/S11075-008-9164-0
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description: scientific article; zbMATH DE number 5314365