Incremental unknowns and graph techniques in three space dimensions

DOI10.1016/S0168-9274(02)00144-7zbMath1013.65116MaRDI QIDQ1861963

Salvador Garcia

Publication date: 10 March 2003

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

preconditioningLaplace operatorcondition numberfinite differencesscalingPoisson equationincremental unknownshierarchical basis

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (6)

Equation-based interpolation and incremental unknowns for solving the three-dimensional Helmholtz equation ⋮ Chaos in the lid-driven square cavity ⋮ Incremental unknowns in three-dimensional stationary problem ⋮ Aperiodic, chaotic lid-driven square cavity flows ⋮ Preconditioning analysis of nonuniform incremental unknowns method for two dimensional elliptic problems ⋮ Preconditioning analysis of the one dimensional incremental unknowns method on nonuniform meshes

Cites Work

• Infinite-dimensional dynamical systems in mechanics and physics
• Incremental unknowns in finite differences in three space dimensions
• Higher-order incremental unknowns, hiearchical basis, and nonlinear dissipative evolutionary equations
• Algebraic conditioning analysis of the incremental unknowns preconditioner
• Inertial Manifolds and Multigrid Methods
• The matricial framework for the incremental unknowns method
• Algebraic Analysis of the Hierarchical Basis Preconditioner
• Unnamed Item

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