scientific article

DOI<171::AID-NLA159>3.0.CO;2-B 10.1002/(SICI)1099-1506(199904/05)6:3<171::AID-NLA159>3.0.CO;2-BzbMath1005.74080MaRDI QIDQ2760351

Aleksander Padyi

Publication date: 19 December 2001

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

convergencelinear elasticityoptimality conditionssplittingparallelizationelliptic operatorstiffness matriceshierarchical basisadditive multilevel iteration methodbridge foundation modelingCray T3E-600iterative two-level preconditionernon-uniform prismatic meshSun ES/4000

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Classical linear elasticity (74B05) Parallel numerical computation (65Y05) Numerical and other methods in solid mechanics (74S99) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

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Cites Work

• On the multi-level splitting of finite element spaces
• The hierarchical basis multigrid method
• Algebraic multilevel preconditioning methods. I
• The stabilized \(V\)-cycle method
• Algebraic Multilevel Preconditioning Methods, II
• A Black Box Generalized Conjugate Gradient Solver with Inner Iterations and Variable-Step Preconditioning
• On the Additive Version of the Algebraic Multilevel Iteration Method for Anisotropic Elliptic Problems
• On a robust and scalable linear elasticity solver based on a saddle point formulation
• On Two Ways of Stabilizing the Hierarchical Basis Multilevel Methods