An Odyssey into Local Refinement and Multilevel Preconditioning III: Implementation and Numerical Experiments

DOI10.1137/S1064827502407676zbMath1048.65104arXiv1001.1370MaRDI QIDQ4442480

Burak Aksoylu, Michael Holst, Stephen D. Bond

Publication date: 20 January 2004

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.1370

zbMATH Keywords

algorithmscomputational complexitynumerical experimentsfinite element methodsiterative methodsdata structureslocal mesh refinementstabilizationsmultilevel preconditioningBPX2D and 3Dred and red-green refinement

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

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Uses Software

• Matlab
• FEtk