Multilevel interpolation of scattered data using \(\mathcal{H}\)-matrices
DOI10.1007/s11075-019-00860-1zbMath1456.65011OpenAlexW3000340673MaRDI QIDQ827069
Michael Wende, Sabine Le Borne
Publication date: 6 January 2021
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-019-00860-1
preconditioningdomain decomposition methodsradial basis functionhierarchical matricesscattered data interpolationmultilevel interpolationpositive definite properties
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Iterative numerical methods for linear systems (65F10) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Preconditioners for iterative methods (65F08)
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Uses Software
Cites Work
- PetRBF - A parallel \(O(N)\) algorithm for radial basis function interpolation with Gaussians
- Multiscale analysis in Sobolev spaces on bounded domains
- On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals
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- Adaptive low-rank approximation of collocation matrices
- Adaptive thinning for bivariate scattered data
- Multistep scattered data interpolation using compactly supported radial basis functions
- Domain decomposition methods in scattered data interpolation with conditionally positive definite radial basis functions
- Hierarchical Matrices: Algorithms and Analysis
- Scattered Data Interpolation: Tests of Some Method
- Iterative Solution of Saddle-Point Systems from Radial Basis Function (RBF) Interpolation
- Hierarchical Matrix Approximation for Kernel-Based Scattered Data Interpolation
- Scattered Data Approximation
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