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Multilevel preconditioning

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Hierarchical method for elliptic problems using wavelet
inferredcites →https://doi.org/10.1002/cpa.3160410705openalex-snapshot
Orthonormal bases of compactly supported wavelets
inferredcites →https://doi.org/10.1002/cpa.3160450502openalex-snapshot
Biorthogonal bases of compactly supported wavelets
inferredcites →https://doi.org/10.1007/978-3-642-65711-5openalex-snapshot
Approximation of Functions of Several Variables and Imbedding Theorems
inferredcites →https://doi.org/10.1007/bf00967736openalex-snapshot
Jackson's theorem in the spaces Lp(Rk), 0<p<1
inferredcites →https://doi.org/10.1007/bf01385617openalex-snapshot
Two preconditioners based on the multi-level splitting of finite element spaces
inferredcites →https://doi.org/10.1007/bf01389538openalex-snapshot
On the multi-level splitting of finite element spaces
inferredcites →https://doi.org/10.1007/bf01890567openalex-snapshot
Free multivariate splines
inferredcites →https://doi.org/10.1007/bf02145583openalex-snapshot
Using the refinement equation for the construction of pre-wavelets
inferredcites →https://doi.org/10.1007/bf02786872openalex-snapshot
B-splines from parallelepipeds
inferredcites →https://doi.org/10.1007/bf02836340openalex-snapshot
Compactly supported box-spline wavelets
inferredcites →https://doi.org/10.1007/bfb0086569openalex-snapshot
On the equivalence of the K-functional and moduli of continuity and some applications
inferredcites →https://doi.org/10.1016/0021-9045(92)90129-copenalex-snapshot
Wavelets and pre-wavelets in low dimensions
inferredcites →https://doi.org/10.1016/0024-3795(83)80015-9openalex-snapshot
Translates of multivarlate splines
inferredcites →https://doi.org/10.1016/0899-8248(89)90018-9openalex-snapshot
Concepts of an adaptive hierarchical finite element code
inferredcites →https://doi.org/10.1016/0899-8248(91)90006-gopenalex-snapshot
Local mesh refinement in 2 and 3 dimensions
inferredcites →https://doi.org/10.1016/b978-0-12-438660-0.50036-4openalex-snapshot
Using the Refinement Equations for the Construction of Pre-Wavelets II: Powers of Two
inferredcites →https://doi.org/10.1016/s0924-6509(09)x7004-2openalex-snapshot
Interpolation Theory, Function Spaces, Differential Operators
inferredcites →https://doi.org/10.1090/memo/0293openalex-snapshot
Maximal functions measuring smoothness
inferredcites →https://doi.org/10.1090/memo/0453openalex-snapshot
Stationary subdivision
inferredcites →https://doi.org/10.1090/s0002-9947-1988-0920166-3openalex-snapshot
Interpolation of Besov Spaces
inferredcites →https://doi.org/10.1090/s0002-9947-1989-1008470-5openalex-snapshot
Multiresolution approximations and wavelet orthonormal bases of 𝐿²(𝑅)
inferredcites →https://doi.org/10.1090/s0025-5718-1990-1023042-6openalex-snapshot
Parallel Multilevel Preconditioners
inferredcites →https://doi.org/10.1137/0717033openalex-snapshot
Multidimensional Spline Approximation
inferredcites →https://doi.org/10.1137/0729059openalex-snapshot
Wavelet Methods for Fast Resolution of Elliptic Problems
inferredcites →https://doi.org/10.1137/0729093openalex-snapshot
Hierarchical Conforming Finite Element Methods for the Biharmonic Equation
inferredcites →https://doi.org/10.1137/0730024openalex-snapshot
Using the Refinement Equation for Evaluating Integrals of Wavelets
inferredcites →https://doi.org/10.1137/1.9781611970067.ch2openalex-snapshot
2. Stationary Subdivision
inferredcites →https://doi.org/10.1515/9781400827268.784openalex-snapshot
Compression of wavelet decompositions
inferredcites →https://doi.org/10.2307/2008071openalex-snapshot
Approximation Theory IV.
inferredcites →https://doi.org/10.4171/zaa/380openalex-snapshot
On Function Spaces Related to Finite Element Approximation Theory

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Application of Wavelets and Machine Learning Techniques to Electromagnetic Problems
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Multilevel preconditioners for discretizations of the biharmonic equation by rectangular finite elements
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Multilevel preconditioning and low‐rank tensor iteration for space–time simultaneous discretizations of parabolic PDEs
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Multiscale preconditioning for the coupling of FEM–BEM
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Adaptive multivlevel methods in three space dimensions
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An Efficient ADI-Solver for Scattered Data Problems with Global Smoothing
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Domain Decomposition Methods
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Iterative Solution Methods
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Optimal multilevel methods for H(grad), H(curl), and H(div) systems on graded and unstructured grids
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Multilevel stabilization devices in CFD
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A finite element method for the Frobenius–Perron operator equation
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References
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Additive multilevel preconditioners based on bilinear interpolation, matrix-dependent geometric coarsening and algebraic multigrid coarsening for second-order elliptic PDEs
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Experiments in 3D with a three-point hierarchical basis preconditioner
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Wavelet methods for PDEs — some recent developments
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Some multilevel methods on graded meshes
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Fully discrete wavelet Galerkin schemes
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Adaptive Wavelets for Sparse Representations of Scattered Data
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The analysis of multigrid methods
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Wavelet methods in numerical analysis
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Multilevel Solvers for Elliptic Problems on Domains
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Wavelet-Like Methods in the Design of Efficient Multilevel Preconditioners for Elliptic PDEs
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An Adaptive Collocation Method Based on Interpolating Wavelets
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An Adaptive Pseudo-Wavelet Approach for Solving Nonlinear Partial Differential Equations
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Nonlinear Approximation and Adaptive Techniques for Solving Elliptic Operator Equations
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Towards Object Oriented Software Tools for Numerical Multiscale Methods for PDEs using Wavelets
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Multiresolution and wavelets
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Old and new convergence proofs for multigrid methods
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Wavelet and multiscale methods for operator equations
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Mathematical analysis of variational isogeometric methods
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Wavelet Techniques for the Fictitious-Domain-Lagrange-Multiplier-Approach
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Iterative Algorithms for Multiscale State Estimation, Part 1: Concepts
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Wavelet Collocation Methods for a First Kind Boundary Integral Equation in Acoustic Scattering
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An explicit norm representation for the analysis of multilevel methods
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Multiwavelet approximation methods for pseudodifferential equations on curves. Stability and convergence analysis
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Wavelet preconditioning of the Stokes problem in ψ–ω formulation
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Adaptive Wavelet Methods for Elliptic Operator Equations with Nonlinear Terms
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A domain embedding method for Dirichlet problems in arbitrary space dimension
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Uniform convergence of local multigrid methods for the time-harmonic Maxwell equation
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The Mortar Method in the Wavelet Context
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An application of distributed approximating functional-wavelets to reactive scattering
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Multiresolution analysis and wavelets onS2andS3
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Interpolating refinable functions and wavelets for general scaling
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Stable multiscale discretizations for saddle point problems and preconditioning
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Second-order shape optimization using wavelet BEM
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Multilevel functional preconditioning for shape optimisation
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A unified approach for the solution of the Fokker-Planck equation
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Wavelet preconditioning for EIT
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Interpolation spaces and optimal multilevel preconditioners
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Robust BPX preconditioner for fractional Laplacians on bounded Lipschitz domains
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Quantum realization of the finite element method
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Multiscale decompositions on bounded domains
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Stabilized wavelet approximations of the Stokes problem
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Substructuring preconditioners for the three fields domain decomposition method
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Optimized general sparse grid approximation spaces for operator equations
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Multilevel preconditioning and adaptive sparse solution of inverse problems
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Multilevel preconditioning for the finite volume method
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Preconditioners for nonconforming discretizations
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Composite wavelet bases for operator equations
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Local multigrid solvers for adaptive isogeometric analysis in hierarchical spline spaces
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Wavelet compressed, modified Hilbert transform in the space–time discretization of the heat equation
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Wavelets in computer graphics
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A Fast Multilevel Algorithm for Wavelet-Regularized Image Restoration
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An Adaptive WEM Algorithm for Solving Elliptic Boundary Value Problems in Fairly General Domains
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BPX‐type Preconditioners for Second and Fourth Order Elliptic Problems on the Sphere
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A Multilevel Preconditioner for the Interior Penalty Discontinuous Galerkin Method
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Tracking Neumann Data for Stationary Free Boundary Problems
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An Overview of Wavelet Based Multiresolution Analyses
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Survey of Multifidelity Methods in Uncertainty Propagation, Inference, and Optimization
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A Wavelet-Based Approach for the Simulation and Optimal Control of NonLocal Operator Equations
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