A practical framework for the construction of prolongation operators for multigrid based on canonical basis functions
DOI10.1007/s00791-010-0138-0zbMath1207.65147OpenAlexW1965994336MaRDI QIDQ604847
Harald Köstler, Roman Wienands
Publication date: 12 November 2010
Published in: Computing and Visualization in Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00791-010-0138-0
numerical resultsfinite volume methodmultigridimage segmentationprolongationjumping coefficientsmatrix-dependent transfer operatorsnonsymmetric convection-diffusion problem
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) PDEs with low regular coefficients and/or low regular data (35R05) Iterative numerical methods for linear systems (65F10) Finite volume methods for boundary value problems involving PDEs (65N08)
Uses Software
Cites Work
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- Black box multigrid for nonsymmetric problems
- Black box multigrid
- General highly accurate algebraic coarsening
- On the algebraic construction of multilevel transfer operators
- Towards algebraic multigrid for elliptic problems of second order
- Algebraic multigrid by smoothed aggregation for second and fourth order elliptic problems
- Matrix-dependent prolongations and restrictions in a blackbox multigrid solver
- Algebraic Multigrid Based on Element Interpolation (AMGe)
- Element-Free AMGe: General Algorithms for Computing Interpolation Weights in AMG
- Collocation Coarse Approximation in Multigrid
- Two Multigrid Methods for Three-Dimensional Problems with Discontinuous and Anisotropic Coefficients
- The Multi-Grid Method for the Diffusion Equation with Strongly Discontinuous Coefficients
- Multi-Level Adaptive Solutions to Boundary-Value Problems
- Fast Multigrid Solution of the Advection Problem with Closed Characteristics
- Coarse-Grid Correction for Nonelliptic and Singular Perturbation Problems
- An Algebraic Multigrid Approach for Image Analysis
- A Multigrid Tutorial, Second Edition
- Adaptive Smoothed Aggregation ($\alpha$SA)
- Accelerated Multigrid Convergence and High-Reynolds Recirculating Flows
- Convergence of algebraic multigrid based on smoothed aggregation
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